Quantum Cluster Theories

Abstract

Quantum cluster approaches offer new perspectives to study the complexities of macroscopic correlated fermion systems. These approaches can be understood as generalized mean-field theories. Quantum cluster approaches are non-perturbative and are always in the thermodynamic limit. Their quality can be systematically improved, and they provide complementary information to finite size simulations. They have been studied intensively in recent years and are now well established. After a brief historical review, this article comparatively discusses the nature and advantages of these cluster techniques. Applications to common models of correlated electron systems are reviewed.

submitted to Reviews of Modern Physics

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• Interaction-resistant metals in multicomponent Fermi systems
• Superconductivity in the Bilayer Two-orbital Hubbard Model
• Knight shifts, nuclear spin-relaxation rates, and spin echo decay times in the pseudogap regime of the cuprates: Simulation and relation to experiment
• Efficient continuous-time quantum Monte Carlo algorithm for fermionic lattice models
• Pseudogap and singlet formation in cuprate and organic superconductors
• Dynamical functional renormalization group computation of order parameters and critical temperatures in the two-dimensional Hubbard model
• Avoided Quantum Criticality near Optimally Doped High Temperature Superconductors
• Competing pairing channels in the doped honeycomb lattice Hubbard model
• Spin Susceptibility Representation of the Pairing Interaction for the two-dimensional Hubbard Model
• Competing orders in Na${}_x$CoO${}_2$ from strong correlations on a two-particle level
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Density matrix embedding theory for interacting electron-phonon systems
• Krylov-space approach to the equilibrium and the nonequilibrium single-particle Green's function
• Evolution of the Superconductivity Dome in the two dimensional Hubbard Model
• A Tensor Train Continuous Time Solver for Quantum Impurity Models
• Plaquette Valence Bond Theory of High-Temperature Superconductivity
• Non-local correlations in metals close to a charge order insulator transition
• Evolution of the dynamical pairing across the phase diagram of a strongly correlated high-temperature superconductor
• Charge-fluctuations in lightly hole-doped cuprates: effect of vertex corrections
• Legendre-spectral Dyson equation solver with super-exponential convergence
• Strong Correlations in a nutshell
• Langevin Simulations of the Half-Filled Cubic Holstein Model
• Pseudogap and superconductivity in two-dimensional doped charge-transfer insulators
• Correlated band structure of NiO, CoO and MnO by variational cluster approximation
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Enhancing $d$-wave superconductivity with nearest-neighbor attraction of extended Hubbard model
• Hidden physics in the dual-fermion approach - a special case of a non-local expansion scheme
• Optimal grouping of arbitrary diagrammatic expansions via analytic pole structure
• How to read between the lines of electronic spectra: the diagnostics of fluctuations in strongly correlated electron systems
• Mottness on a triangular lattice
• d-wave superconductivity in the presence of a near neighbor Coulomb repulsion
• A method to efficiently simulate the thermodynamical properties of the Fermi-Hubbard model on a quantum computer
• Non-Fermi liquid signatures in the Hubbard Model due to van Hove singularities
• Non-equilibrium cluster-perturbation theory
• Quantifying the role of antiferromagnetic fluctuations in the superconductivity of the doped Hubbard model
• Mott transition in the Hubbard model on the anisotropic kagomé lattice
• Pseudogaps in Strongly Correlated Metals: Optical Conductivity within the Generalized Dynamical Mean-Field Theory Approach
• Realistic modeling of the electronic structure and the effect of correlations for Sn/Si(111) and Sn/Ge(111) surfaces
• Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
• Dynamical cluster approximation within an augmented plane-wave framework: Spectral properties of SrVO${}_3$
• Correlation effects in transport properties of interacting nanostructures
• A perspective on machine learning and data science for strongly correlated electron problems
• Dual Boson approach with instantaneous interaction
• Dynamical configuration interaction: Quantum embedding that combines wave functions and Green's functions
• Convergence acceleration and stabilization for dynamical-mean-field-theory calculations
• Spectral functions of Sr${}_2$IrO${}_4$: theory versus experiment
• Self-energy-functional theory for systems of interacting electrons with disorder
• Canonical representation for electrons and its application to the Hubbard model
• Low-energy effective Hamiltonians for correlated electron systems beyond density functional theory
• Competing itinerant and localized states in strongly correlated BaVS${}_3$
• Hidden-Fermion Representation of Self-energy in Pseudogap and Superconducting States of Two-Dimensional Hubbard Model
• Dynamical Cluster Quantum Monte Carlo Study of the Single Particle Spectra of Strongly Interacting Fermion Gases
• Mott transition in the triangular lattice Hubbard model: a dynamical cluster approximation study
• Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime
• Quantum-embedding description of the Anderson lattice model with the ghost Gutzwiller Approximation
• Unveiling phase diagram of the lightly doped high-Tc cuprate superconductors with disorder removed
• Highly nonperturbative nature of the Mott metal-insulator transition: Two-particle vertex divergences in the coexistence region
• Slave bosons in radial gauge: a bridge between path integral and hamiltonian language
• Orbital structure of the effective pairing interaction in the high-temperature superconducting cuprates
• Real-space cluster dynamical mean-field theory: Center focused extrapolation on the one- and two particle level
• d-wave superconductivity from electron-phonon interactions
• Evolution of Floquet Topological Quantum States in Driven Semiconductors
• Phase diagram of the square lattice bilayer Hubbard model: a variational Monte Carlo study
• Sr${}_2$(Ba${}_2$)VO${}_4$ under pressure -- an orbital switch and potential $d^1$ superconductor
• Spin fluctuations and high-temperature superconductivity in cuprates
• Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model
• Interpretable and unsupervised phase classification
• Impurity-induced magnetic moments on the graphene-lattice Hubbard model: an inhomogeneous cluster DMFT study
• The dynamical vertex approximation for many-electron systems with spontaneously broken SU(2)-symmetry
• Conserving approximations in direct perturbation theory: new semianalytical impurity solvers and their application to general lattice problems
• Insulator-metal-insulator transition and selective spectral weight transfer in a disordered strongly correlated system
• Chiral d-wave Superconductivity in a Triangular Surface Lattice Mediated by Long-range Interaction
• Emery vs. Hubbard model for cuprate superconductors: a Composite Operator Method study
• Cluster dynamical mean field theory of quantum phases on a honeycomb lattice
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Realistic theory of electronic correlations in nanoscopic systems
• Photo-induced nonequilibrium states in Mott insulators
• The anisotropic Harper-Hofstadter-Mott model: competition between condensation and magnetic fields
• Two-particle correlations in a dynamic cluster approximation with continuous momentum dependence: Superconductivity in the 2D Hubbard model
• On the Dynamics of Liquids in the Large-Dimensional Limit
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Momentum-dependent susceptibilities and magnetic exchange in bcc iron from supercell DMFT calculations
• Variational cluster approach to thermodynamic properties of interacting fermions at finite temperatures: A case study of the two-dimensional single-band Hubbard model at half filling
• Chebyshev approach to quantum systems coupled to a bath
• Truncated-Unity Parquet Equations: Application to the Repulsive Hubbard Model
• Pairing correlations in the cuprates: a numerical study of the three-band Hubbard model
• Mott correlated states in the underdoped two-dimensional Hubbard model: variational Monte Carlo versus a dynamical cluster approximation
• Magnetic properties and pseudogap formation in infinite-layer nickelates: insights from the single-band Hubbard model
• Dynamical cluster approximation study of the anisotropic two-orbital Hubbard model
• Metal-insulator transition in the 2D Hubbard model: dual fermion approach with the Lanczos exact diagonalization
• Correlation effects in pyrochlore iridate thin films grown along the $[111]$ direction
• Phase diagram, energy scales and nonlocal correlations in the Anderson lattice model
• Spinon confinement: dynamics of weakly coupled Hubbard chains
• Superconductivity in the doped bilayer Hubbard model
• Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
• Towards ab initio calculations with the dynamical vertex approximation
• Dipole matrix element approach vs. Peierls approximation for optical conductivity
• Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
• Spectral properties in the charge density wave phase of the half-filled Falicov-Kimball Model
• d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
• Fractionalization, entanglement, and separation: understanding the collective excitations in a spin-orbital chain
• Dynamical mean-field study of partial Kondo screening in the periodic Anderson model on the triangular lattice
• Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
• Including many-body screening into self-consistent calculations: Tight-binding model studies with the Gutzwiller approximation
• Photo-enhanced excitonic correlations in a Mott insulator with nonlocal interactions
• Coulomb correlations in the honeycomb lattice: role of translation symmetry
• Non-perturbative intertwining between spin and charge correlations: A "smoking gun" single-boson-exchange result
• Accuracy of ghost-rotationally-invariant slave-boson and dynamical mean field theory as a function of the impurity-model bath size
• Coexistence of strong nematic and superconducting correlations in a two-dimensional Hubbard model
• Finite-temperature superconducting correlations of the Hubbard model
• Dynamical Charge Susceptibility in the Hubbard Model
• Differentiating Hund from Mott physics in a three-band Hubbard-Hund model: Temperature dependence of spectral, transport, and thermodynamic properties
• Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
• Interplane charge dynamics in a valence-bond dynamical mean-field theory of cuprate superconductors
• The pseudogap regime in the unitary Fermi gas
• Frequency domain winding number and interaction effect on topological insulators
• Superconducting and Pseudogap effects on the interplane conductivity and Raman scattering cross section in the two dimensional Hubbard Model
• LDA+DMFT approach to ordering phenomena and the structural stability of correlated materials
• Woptic: optical conductivity with Wannier functions and adaptive k-mesh refinement
• Is reduced-density-matrix functional theory a suitable vehicle to import explicit correlations into density-functional calculations?
• Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model
• Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
• A Fidelity Study of the Superconducting Phase Diagram in the 2D Single-band Hubbard Model
• Mott transition, Widom line and pseudogap in the half-filled triangular lattice Hubbard model
• Auxiliary Hamiltonian representation of the nonequilibrium Dyson equation
• Time propagation and spectroscopy of Fermionic systems using a stochastic technique
• Simulation of time-dependent resonant inelastic X-ray scattering using non-equilibrium dynamical mean-field theory
• Multi-orbital nature of the spin fluctuations in Sr${}_2$RuO${}_4$
• Incremental Embedding: A Density Matrix Embedding Scheme for Molecules
• Insensitivity of superconductivity to disorder in the cuprates
• Ergodicity of the Hybridization-Expansion Monte Carlo Algorithm for Broken-Symmetry States
• Doping and temperature evolution of pseudogap and spin-spin correlations in the two-dimensional Hubbard model
• Fermi surface dichotomy on systems with fluctuating order
• Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
• Multi-valuedness of the Luttinger-Ward functional in the Fermionic and Bosonic System with Replicas
• Dynamical thermal response functions for strongly correlated one-dimensional systems
• Direct Connection between Mott Insulator and d-Wave High-Temperature Superconductor Revealed by Continuous Evolution of Self-Energy Poles
• Diatomic molecule as a testbed for combining DMFT with electronic structure methods such as $GW$ and DFT
• High-frequency asymptotic behavior of self-energies in quantum impurity models
• Phonon localization in binary alloys with diagonal and off-diagonal disorder: A cluster Green's function approach
• Non-local quantum fluctuations and fermionic superfluidity in the imbalanced attractive Hubbard model
• Momentum structure of the self-energy and its parametrization for the two-dimensional Hubbard model
• Collective magnetic fluctuations in Hubbard plaquettes captured by fluctuating local field method
• Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics
• Renormalization group flow of the Luttinger-Ward functional: conserving approximations and application to the Anderson impurity model
• Fragmented Cooper pair condensation in striped superconductors
• Magnetic Susceptibility and Simulated Neutron Signal in the 2D Hubbard Model
• Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities
• Superfluidity and Density Order in a Bilayer Extended Hubbard Model
• Quantum disordered insulating phase in the frustrated cubic-lattice Hubbard model
• Superfluid stiffness in cuprates: Effect of Mott transition and phase competition
• Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates
• Composite Operator Method analysis of the underdoped cuprates puzzle
• Pseudogap, van Hove Singularity, Maximum in Entropy and Specific Heat for Hole-Doped Mott Insulators
• Finite Cluster Typical Medium Theory for Disordered Electronic Systems
• Finite-Temperature Variational Monte Carlo Method for Strongly Correlated Electron Systems
• The AbinitioD$\Gamma$A Project v1.0: Non-local correlations beyond and susceptibilities within dynamical mean-field theory
• Cluster mean field study of the Heisenberg model for CuInVO${}_5$
• Lattice susceptibility for 2D Hubbard Model within dual fermion method
• Electrical conductivity in the Hubbard model: orbital effects of magnetic field
• The effect of six-point one-particle reducible local interactions in the dual fermion approach
• Fermi Arcs From Dynamical Variational Monte Carlo
• Electron energy spectrum of the spin-liquid state in a frustrated Hubbard model
• Competition between band and Mott insulator in the bilayer Hubbard model: a dynamical cluster approximation study
• Mott p-n Junctions in layered materials
• Suppression of d-wave superconductivity in the checkerboard Hubbard model
• Strongly correlated superconductivity with long-range spatial fluctuations
• Nonequilibrium Two-Particle Self-Consistent Approach
• The Hubbard model beyond the two-pole approximation: a Composite Operator Method study
• Topological invariants in interacting Quantum Spin Hall: a Cluster Perturbation Theory approach
• Analytical solution of a Hubbard model extended by nearest neighbour Coulomb and exchange interaction on a triangle and tetrahedron
• SmoQyDQMC.jl: A flexible implementation of determinant quantum Monte Carlo for Hubbard and electron-phonon interactions (version 2.0 release)
• Local and nonlocal electronic correlations at the metal-insulator transition in the Hubbard model in two dimensions
• Hybridization expansion Monte Carlo simulation of multi-orbital quantum impurity problems: matrix product formalism and improved Monte Carlo sampling
• Behavior of Floquet Topological Quantum States in Optically Driven Semiconductors
• Unconventional high-energy-state contribution to the Cooper pairing in under-doped copper-oxide superconductor HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Theory of pseudogap and superconductivity in doped Mott insulators
• opendf - an implementation of the dual fermion method for strongly correlated systems
• Numerical Investigation of Spin Excitations in a Doped Spin Chain
• Raising the critical temperature by disorder in unconventional superconductors mediated by spin fluctuations
• Phase diagram of the 3D Anderson model for uncorrelated speckle potentials
• Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study
• From underdoped to overdoped cuprates: two quantum phase transitions
• Bandwidth renormalization due to the intersite Coulomb interaction
• Diagrammatic Monte Carlo procedure for the spin-charge transformed Hubbard model
• Quantum Criticality and Incipient Phase Separation in the Thermodynamic Properties of the Hubbard Model
• Electronic and Magnetic State of LaMnO${}_3$ Epitaxially Strained on SrTiO${}_3$: Effect of Local Correlation and Non-local Exchange
• Improved treatment of fermion-boson vertices and Bethe-Salpeter equations in non-local extensions of dynamical mean field theory
• Hidden fermionic excitation in the superconductivity of the strongly attractive Hubbard model
• Phase transitions in partial summation methods: Results from the 3D Hubbard model
• Optical absorption in disordered monolayer molybdenum disulfide
• Machine learning effective models for quantum systems
• Simulating high-temperature superconductivity model Hamiltonians with atoms in optical lattices
• Dynamical Mean-Field Theory
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Fidelity Study of Superconductivity in Extended Hubbard Models
• Automated mixing of maximally localized Wannier functions into target manifolds
• Effective model for electronic properties of the quasi one-dimensional purple bronze Li0.9Mo6O17 based on ab-initio calculations
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• Fast and Efficient Stochastic Optimization for Analytic Continuation
• Detecting a preformed pair phase: The response to a pairing forcing field
• Cluster solver for dynamical mean-field theory with linear scaling in inverse temperature
• Coulomb blockade and Kondo effect in the electronic structure of Hubbard molecules connected to metallic leads: a finite-temperature exact-diagonalization study
• Magnetic phase diagram of the Hubbard model with next-nearest-neighbour hopping
• Self-Consistent Fluctuation Theory for Strongly Correlated Electron Systems
• An Investigation of Particle-Hole Asymmetry in the Cuprates via Electronic Raman Scattering
• Topological properties of the bond-modulated honeycomb lattice
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Dual Fermion Method for Disordered Electronic Systems
• Coherent potential approximation for spatially correlated disorder
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Dynamical Mean-Field Theory of Strongly Correlated Electron Systems
• Optical sum rule anomalies in the cuprates: interplay between strong correlation and electronic bandstructures
• Competition between antiferromagnetic and charge density wave fluctuations in the extended Hubbard model
• Mott transition and Antiferromagnetic Metal on Shastry-Sutherland Lattice
• Dynamically enhanced magnetic incommensurability: Effects of local dynamics on non-local spin-correlations in a strongly correlated metal
• Spin-Imbalanced Pairing and Fermi Surface Deformation in Flat Bands
• Polaronic approach to strongly correlated electron system with strong electron-phonon interaction
• Unveiling the Finite Temperature Physics of Hydrogen Chains via Auxiliary Field Quantum Monte Carlo
• Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model
• Three-site transition-metal clusters: going from localized electrons to molecular orbitals
• Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model
• Localization of phonons in mass disordered alloys - A typical medium dynamical cluster approach
• Specific heat maximum as a signature of Mott physics in the two-dimensional Hubbard model
• On the universality class of the Mott transition in two dimensions
• Phase transitions and spectral properties of the ionic Hubbard model in one dimension
• Flat-band ratio and quantum metric in the superconductivity of modified Lieb lattices
• Charge and spin criticality for the continuous Mott transition in a two-dimensional organic conductor
• Quasilocal entanglement across the Mott-Hubbard transition
• Quasi continuous-time impurity solver for the dynamical mean-field theory with linear scaling in the inverse temperature
• Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands
• Parquet dual fermion approach for the Falicov-Kimball model
• Variational description of the ground state of the repulsive two-dimensional Hubbard model in terms of nonorthogonal symmetry-projected Slater determinants
• Ultra-fast control of magnetic relaxation in a periodically driven Hubbard model
• Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method
• Two-particle-correlations in a functional renormalization group scheme using a dynamical mean-field theory approach
• Properties of the one-dimensional Hubbard model: cellular dynamical mean-field description
• Mott transition and pseudogap of the square-lattice Hubbard model: results from center-focused cellular dynamical mean-field theory
• The isotope effect in the Hubbard model with local phonons
• Dynamical mean-field theory for quantum spin systems: Test of solutions for magnetically ordered states
• Diagrammatic Monte Carlo Method for Impurity Models with General Interactions and Hybridizations
• Effective Cluster Typical Medium Theory for Diagonal Anderson Disorder Model in One- and Two-Dimensions
• Incorporating Dynamic Mean-Field Theory into Diagrammatic Monte Carlo
• On the Spatial Locality of Electronic Correlations in LiFeAs
• Dynamical Mean Field Approximation Applied to Quantum Field Theory
• Non-monotonic temperature dependence of thermopower in strongly correlated electron systems
• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory
• Mean-field approximation for thermodynamic and spectral functions of correlated electrons: Strong-coupling and arbitrary band filling
• Role of Frustration and Dimensionality in the Hubbard Model on the Stacked Square Lattice: Variational Cluster Approach
• Superconducting states of the quasi-2D Holstein model: Effects of vertex and non-local corrections
• Fluctuating local field method probed for a description of small classical correlated lattices
• Robust charge-density wave correlations in the electron-doped single-band Hubbard model
• Interacting-bath dynamical embedding for capturing non-local electron correlation in solids
• Fate of the Kondo Effect and Impurity Quantum Phase Transitions Through the Lens of Fidelity Susceptibility
• State-of-the-art techniques for calculating spectral functions in models for correlated materials
• Quasiparticle states of the Hubbard model near the Fermi level
• Origin of the Mott Gap
• Mott Quantum Criticality in the Anisotropic 2D Hubbard Model
• Neel order in the Hubbard model within spin-charge rotating reference frame approach: crossover from weak to strong coupling
• Exotic Superconductivity Through Bosons in a Dynamical Cluster Approximation
• Momentum-Space Cluster Dual Fermion Method
• Fermi surface expansion above critical temperature in a Hund ferromagnet
• d-Wave superconductivity on the checkerboard Hubbard model at weak and strong coupling
• Detecting phase transitions and crossovers in Hubbard models using the fidelity susceptibility
• Orbital selective phase transition induced by different magnetic states: A dynamical cluster approximation study
• Bypassing the computational bottleneck of quantum-embedding theories for strong electron correlations with machine learning
• Anisotropy of electronic correlations: On the applicability of local theories to layered materials
• Magnetic susceptibility of the two-dimensional Hubbard model using a power series for the hopping constant
• Ground States of Fermionic lattice Hamiltonians with Permutation Symmetry
• Exactly solvable model of strongly correlated $d$-wave superconductivity
• Intrinsic Cluster-Shaped Density Waves in Cellular Dynamical Mean-Field Theory
• Two-site dynamical mean field theory for the dynamic Hubbard model
• Local correlation functions of arbitrary order for the Falicov-Kimball model
• Complementary views on electron spectra: From Fluctuation Diagnostics to real space correlations
• Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator
• Operatorial formulation of the ghost rotationally-invariant slave-Boson theory
• Validity of the Local Approximation in Iron- Pnictides and Chalcogenides
• Enhancing $T_{\mathrm{c}}$ in a composite superconductor/metal bilayer system: a dynamical cluster approximation study
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• Non-Fermi liquid and antiferromagnetic correlations with hole doping in the bilayer two-orbital Hubbard model of La${}_3$Ni${}_2$O${}_7$ at zero temperature
• Considerable non-local electronic correlations in strongly doped Na${}_x$CoO${}_2$
• A Dynamical Quantum Cluster Approach to Two-Particle Correlation Functions in the Hubbard Model
• Nonequilibrium Dynamical Cluster Approximation study of the Falicov-Kimball Model
• From mixed valence to the Kondo lattice regime
• Bond excitations in the pseudogap phase of the Hubbard Model
• Interlaced coarse-graining for the dynamic cluster approximation
• Pseudogap behaviour in Bi2212: Results of Generalized DMFT Approach
• Cuprates, Manganites, and Cobaltites: Multielectron Approach to the Band Structure
• Nonequilibrium DMFT+CPA for Correlated Disordered Systems
• SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach
• Typical-medium, multiple-scattering theory for disordered systems with Anderson localization
• The Mott transition in the strong coupling perturbation theory
• Accessing thermodynamics from dynamical cluster-embedding approaches
• Efficient implementation of the continuous-time interaction-expansion quantum Monte Carlo method
• The Hubbard model extended by nearest-neighbor Coulomb and exchange interaction on a cubic cluster - rigorous and exact results
• Two-Particle Self-Consistent Approach to Anisotropic Superconductivity
• Pyqcm: An open-source Python library for quantum cluster methods
• Ferromagnetic spin correlations in the two-dimensional Hubbard model
• Mott transition and magnetism on the anisotropic triangular lattice
• Quantum phase transitions and composite excitations of antiferromagnetic spin trimer chains in a magnetic field
• Multi-channel fluctuating field approach to competing instabilities in interacting electronic systems
• Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins
• Brillouin-zone integration scheme for many-body density of states: Tetrahedron method combined with cluster perturbation theory
• Correlated nonequilibrium steady states without energy flux
• Magnetic transition in a correlated band insulator
• Can Orbital-Selective Néel Transitions Survive Strong Nonlocal Electronic Correlations?
• Spin-charge transformation of lattice fermion models: duality approach for diagrammatic simulation of strongly correlated systems
• Electronic correlations in dense iron: from moderate pressure to Earth's core conditions
• Spatial fluctuations of spin and orbital in two-orbital Hubbard model
• From cluster to solid - the variational cluster approximation applied to NiO
• Effects of frustration on the nonequilibrium dynamics of photo-excited lattice systems
• Frustrated Kondo impurity triangle: A simple model of deconfinement
• Understanding High-Temperature Superconductors with Quantum Cluster Theories
• Melting of stripe phases and its signature in the single-particle spectral function
• Intertwined states at finite temperatures in the Hubbard model
• Prediction of anomalies in the velocity of sound for the pseudogap of hole-doped cuprates
• Non-equilibrium evolution of the optical conductivity of the weakly interacting Hubbard model: Drude response and $\pi$-ton type vertex corrections
• Evidence of attraction between charge-carriers in a doped Mott insulator
• The $t$-$t^{\prime }$-$t^{\prime \prime }$-$U$ Hubbard model and Fermi-level peak
• Electronic correlations and competing orders in multiorbital dimers: a cluster DMFT study
• Magnetic properties and temperature variation of spectra in the Hubbard model
• Extremely correlated fermi liquid of $t$-$J$ model in two dimensions
• Impact of self-consistency in dual fermion calculations
• Pauli metallic ground-state in Hubbard clusters with Rashba spin-orbit coupling
• Spreading of correlations in the Falicov-Kimball model
• Realistic many-body approaches to materials with strong nonlocal correlations
• Strong interplay between electron-phonon interaction and disorder in low doped systems
• Continuous Mott Transition in a Two-Dimensional Hubbard Model
• Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry
• Exotic spin, charge and pairing correlations of the two-dimensional doped Hubbard model: a symmetry entangled mean-field approach
• Thinking locally: reflections on Dynamical Mean-Field Theory from a high-temperature/high energy perspective
• Dynamical mean field theory for manganites
• Diagrammatic content of the DMFT for the Holstein polaron problem in finite dimensions
• Periodically driven interacting electrons in 1D: a many-body Floquet approach
• Local vs non-local correlation effects in interacting quantum spin Hall insulators
• Superconductivity and Mottness in Organic Charge Transfer Materials
• Enhancement of gaps in thin graphitic films for heterostructure formation
• Typicality-Based Variational Cluster Approach to Thermodynamic Properties of the Hubbard Model
• Slave-rotor theory on magic-angle twisted bilayer graphene
• Multiple impurities and combined local density approximations in Site-Occupation Embedding Theory
• CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
• Spectral functions of 2D systems with coupling of electrons to collective or localized spin degrees of freedom
• Two-Particle-Self-Consistent Approach for the Hubbard Model
• Short-range charge fluctuations in the two-dimensional Hubbard model
• Josephson lattice model for phase fluctuations of local pairs in copper-oxide superconductors
• Emergence of non-Fermi liquid dynamics through non-local correlations in an interacting disordered system
• Suppression of superconductivity in the Hubbard model by buckling and breathing phonons
• The electronic structure and disorder effect of La${}_3$Ni${}_2$O${}_7$ superconductor
• Variational local moment approach: from Kondo effect to Mott transition in correlated electron systems
• The Calculation of Two-Particle Quantities in the Typical Medium Dynamical Cluster Approximation
• Electronic Structure Calculations with LDA+DMFT
• Theory of charged impurities in correlated electron materials: Application to muon spectroscopy of high-Tc superconductors
• Fourier transformation and response functions
• Stark-Many body localization in interacting infinite dimensional systems
• Singularity in self-energy and composite fermion excitations of interacting electrons
• Hierarchy of double-time correlations
• Multi-reference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model
• Disorder effects on superconducting tendencies in the checkerboard Hubbard model
• Magnetic fluctuations and superconducting pairing in $\epsilon$-iron
• On the cuprates' universal waterfall feature: evidence of a momentum-driven crossover
• Superfluid to insulator phase transition in a unitary Fermi gas
• Importance of local correlations for the order parameter of high-Tc superconductors
• Doped Mott insulator on Penrose tiling
• Electrically driven insulator-to-metal transition in a correlated insulator: Electronic mechanism and thermal description
• Doping the Mott insulating state of the triangular-lattice Hubbard model reveals the Sordi transition
• The metal insulator transition in cluster dynamical mean field theory: intersite correlation, cluster size, interaction strength, and the location of the transition line
• Fermi-Liquid $T^2$ Resistivity: Dynamical Mean-Field Theory Meets Experiment
• Magnetism and Metallicity in Moiré Transition Metal Dichalcogenides
• Barnes slave boson approach to the two-site single impurity Anderson model with non-local interaction
• The Hubbard model in the strong coupling theory at arbitrary filling
• Transport of Hubbard-Band Quasiparticles in Disordered Optical Lattices
• General Shiba mapping for on-site four-point correlation functions
• Magnetic correlations around the Mott transition in the Kagomé lattice Hubbard model
• Spectral density of the Hubbard-model by the continued fraction method
• The Continuous-Pole-Expansion method to obtain spectra of electronic lattice models
• Thermopower of the electron-doped manganese pnictide LaMnAsO
• Two-particle Correlation Functions in Cluster Perturbation Theory: Hubbard Spin Susceptibilities
• Renormalization of the Mott gap by lattice entropy: The case of 1T-TaS2
• Direct observation of fragile Mott insulators on plaquette Hubbard lattices
• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
• Ring-exchange periodic Anderson model for 3He bilayers
• Löwdin's symmetry dilemma within Green functions theory for the one-dimensional Hubbard model
• Orbital Selective Phase Transition
• Rigorous solution of a Hubbard model extended by nearest-neighbor Coulomb and isotropic exchange interaction on a triangle and tetrahedron
• An electric-field driven Mott metal-insulator transition in correlated thin films: an inhomogeneous dynamical mean-field theory approach
• The LDA+DMFT route to identify good thermoelectrics
• Schwinger boson approach for the dynamical mean-field theory of the Kondo lattice
• Correlated Dirac semimetal by periodized cluster dynamical mean-field theory
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Nonlocal effects on magnetism in the diluted magnetic semiconductor Ga_{1-x}Mn_{x}As
• From d- to p-wave pairing in the t-t' Hubbard model at zero temperature
• Precise ground state of multi-orbital Mott systems via the variational discrete action theory
• Maximum entropy analytic continuation of anomalous self-energies
• Development of an efficient impurity solver in dynamical mean field theory for multi-band systems: The iterative perturbation theory combined with the parquet equations
• Universal scaling in the Knight shift anomaly of doped periodic Anderson model
• Optimal Boson energy for superconductivity in the Holstein model
• Quantum cluster approach to the topological invariants in correlated Chern insulators
• Compressing the two-particle Green's function using wavelets: Theory and application to the Hubbard atom
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Nonlinear Optical Response Functions of Mott Insulators Based on Dynamical Mean Field Approximation
• Unambiguous fluctuation decomposition of the self-energy: pseudogap physics beyond spin fluctuations
• Superconductivity in the two-dimensional Hubbard model with cellular dynamical mean-field theory: a quantum impurity model analysis
• Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• Paramagnon dispersion and damping in doped Na${}_x$Ca${}_{2-x}$CuO${}_2$Cl${}_2$
• Versatile Approach to the Spin Dynamics in Correlated Electron Systems
• Correlation driven metallic and half-metallic phases in a band insulator
• Superconductivity from repulsion: Variational results for the 2D Hubbard model in the limit of weak interaction
• One- and two-particle correlation functions in the cluster perturbation theory for cuprates
• Construction of Localized Basis for Dynamical Mean Field Theory
• Spin and charge susceptibilities of the two-orbital model within the cluster perturbation theory for Fe-based materials
• Extension of dynamical mean-field theory by inclusion of nonlocal two-site correlations with variable distance
• Barycentric rational function approximation made simple: A fast analytic continuation method for Matsubara Green's functions
• Natural Orbital-Based Lanczos Method for Anderson Impurity Models
• Three-dimensional bond-order instability in infinite-layer nickelates due to nonlocal quantum interference
• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
• Local electronic nematicity in the one-band Hubbard model
• Insulator-pseudogap crossover in the Lieb lattice
• Semiclassical approximation solved by Monte Carlo as an efficient impurity solver for dynamical mean field theory and its cluster extensions
• Estimate of the Phase Transition Line in the Infinite-dimensional Hubbard Model
• Fourth-Order Perturbation Expansion for Hubbard Model on a Two-Dimensional Square Lattice
• Exact Ground State of Strongly Correlated Electron Systems from Symmetry-Entangled Wave-Functions
• A slave boson description of pseudogap metals in t-J models
• A Standard Basis Operator Equation of Motion Impurity Solver for Dynamical Mean Field Theory
• Competition between Kondo and RKKY correlations in the presence of strong randomness
• Fine structure of the spectra of the Kondo lattice model: two-site cellular DMFT study
• Gutzwiller Renormalization Group
• Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model
• Twisting the Hubbard model into the Momentum-Mixing Hatsugai-Kohmoto Model
• Hidden spin-orbital hexagonal ordering induced by strong correlations in LiVS${}_2$
• Cluster Dynamical Mean-Field Methods for d-wave Superconductors: the Role of Geometry
• DMFT study on the electron-hole asymmetry of the electron correlation strength in the high Tc cuprates
• Anisotropy crossover in the frustrated Hubbard model on four-chain cylinders
• The hierarchical Green function approach to the two-dimensional Hubbard model
• Fermi Surface Reconstruction in Underdoped Cuprates: The Origin of Electron Pockets
• Continuous momentum dependence in the dynamical cluster approximation
• Local bottom-up effective theory of non-local electronic interactions
• Spectral properties of heterostructures containing half-metallic ferromagnets in the presence of local many-body correlations
• Mean-field embedding of the dual fermion approach for correlated electron systems
• Fermi arcs vs hole pockets: periodization of a cellular two-band model
• Superlight pairs in face-centred-cubic extended Hubbard models with strong Coulomb repulsion
• Application of the Variational Autoencoder to Detect the Critical Points of the Anisotropic Ising Model
• Double Exchange model for nanoscopic clusters
• Kernel polynomial representation of imaginary-time Green's functions
• Spin singlet topological superconductivity in the attractive Rashba Hubbard model
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Dynamical Variational Monte Carlo as a quantum impurity solver: Application to Cluster Dynamical Mean-Field Theory
• MatsubaraFunctions.jl: An equilibrium Green's function library in the Julia programming language
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• Spin correlations in the bilayer Hubbard model with perpendicular electric field
• Optimizing the Critical Temperature and Superfluid Density of a Metal-Superconductor Bilayer
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• Kinks: Fingerprints of strong electronic correlations
• Phase diagram of the Hubbard model on a square lattice: A cluster slave-spin study
• Validity of the spin-susceptibility "glue" approximation for pairing in the two-dimensional Hubbard model
• Non-local corrections to the typical medium theory of Anderson localization
• Nonlocal Excitation Spectra in 2D Doped Hubbard Model
• The analytical description of a doped Mott insulator
• Itinerant-localized model of strongly correlated electrons: Fermi-surface reconstruction
• Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
• Appearance of Antiferromagnetism and Superconductivity in Superconducting Cuprates
• Electronic spectrum and superconductivity in the extended t-J-V model
• Single- and two-particle finite size effects in interacting lattice systems
• Ambipolar doping of a charge-transfer insulator in the Emery model
• Non-Perturbative Feats in the Physics of Correlated Antiferromagnets
• Denoising of Imaginary Time Response Functions with Hankel projections
• The finite-difference parquet method: Enhanced electron-paramagnon scattering opens a pseudogap
• Heating and cooling in self-consistent many-body simulations
• Spin-orbit coupled Hubbard skyrmions
• Anisotropic two-orbital Hubbard model: single-site versus cluster dynamical mean-field theory
• Tensor cross interpolation approach for quantum impurity problems based on the weak-coupling expansion
• Density Matrix Embedding Theory and Strongly Correlated Lattice Systems
• Approximate expression for the ground-state energy of the two- and three-dimensional Hubbard model at arbitrary filling obtained from dimensional scaling
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• Superconductivity in striped and multi-Fermi-surface Hubbard models: From the cuprates to the pnictides
• Superexchanges and Charge Transfer in the La${}_3$Ni${}_2$O${}_7$ Thin Films
• Not all doped Mott insulators have a pseudogap: key role of van Hove singularities
• Measuring the ultrafast screening of $U$ in photo-excited charge-transfer insulators with time-resolved X-ray absorption spectroscopy
• Variational optimization of the 2DM: approaching three-index accuracy using extended cluster constraints
• Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model
• Random local attraction driven metal-superconductor transitions
• Signatures of the Fermi surface reconstruction of a doped Mott insulator in a slab geometry
• Performance Analysis of a Quantum Monte Carlo Application on Multiple Hardware Architectures Using the HPX Runtime
• Computational scheme for the spin-1/2 square lattice Heisenberg antiferromagnet based on an octapartite description of the square lattice
• Effective medium approach in the renormalization group theory of phase transitions
• Suppression of the charge fluctuations by nonlocal correlations close to the Mott transition
• Orbital isotropy of magnetic fluctuations in correlated electron materials induced by Hund's exchange coupling
• Functional renormalization-group approaches, one-particle (ir)reducible with respect to local Green functions, using the dynamical mean-field theory as a starting point
• From strong to weak correlations in breathing-mode kagome van der Waals materials: Nb${}_3$(F,Cl,Br,I)${}_8$ as a robust and versatile platform for many-body engineering
• Microscopic theory of high-temperature superconductivity in strongly correlated electronic systems
• Thermodynamics of the Hubbard model on stacked honeycomb and square lattices
• Theory of anisotropic elastoresistivity of two-dimensional extremely strongly correlated metals
• Memory Reduction using a Ring Abstraction over GPU RDMA for Distributed Quantum Monte Carlo Solver
• Correlated electrons in a Crystalline Topological insulator
• Simplification of the local full vertex in the impurity problem in DMFT and its applications for the nonlocal correlation
• Bath parameterization in multi-band cluster Dynamical Mean-Field Theory
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Hidden Kondo lattice physics in single-orbital Hubbard models
• Disorder Enhanced Thermalization in Interacting Many-Particle System
• Self-consistent renormalization group approach to continuous phase transitions in alloys. Application to ordering in $\beta$-brass
• Self-energy enhancements in doped Mott insulators
• Charge gap and charge redistribution among copper and oxygen orbitals in the normal state of the Emery model
• Effective pairing interaction in the two-dimensional Hubbard model within a spin rotationally invariant approach
• Emergent soft-gap Anderson models at quantum criticality in a lattice Hamiltonian within dynamical mean field theory
• Ferromagnetism and non-local correlations in the Hubbard model
• Single-particle spectra and magnetic susceptibility in the Emery model: a dynamical mean-field perspective
• Kondo frustration via charge fluctuations: a route to Mott localisation
• Disentangling real space fluctuations: the diagnostics of metal-insulator transitions beyond single-particle spectral functions
• Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications
• Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
• Mott metal-insulator transition in a modified periodic Anderson model: Insights from entanglement entropy and role of short-range spatial correlations
• Gor'kov-Hedin-Baym Equations for Quantum Many-Body Systems with Spin-Dependent Interactions
• Enhanced superconductivity via layer differentiation in trilayer Hubbard model
• Dual-space cluster-diagrammatic approach to nonlocal electronic correlations
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Slope-Reversed Mott Transition in Multiorbital Systems
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Reentrance of metal-insulator transition and magnetic competitions on a triangular lattice with second nearest-neighbor hopping
• Rientrant metallicity in the Hubbard model: the case of honeycomb nanoribbons
• Dynamic inhomogeneities and phase separation after quantum quenches in strongly correlated systems
• Two-particle excitations under coexisting electron interaction and disorder
• Autoencoder-based analytic continuation method for strongly correlated quantum systems
• Cluster dynamical mean field study of intra-unit-cell charge nematicity in hole-doped cuprates
• Electrical Conductivity in Quantum Materials
• Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model
• Coupled Hubbard ladders at weak coupling: Pairing and spin excitations
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO
• Improvement of the simplification method for the local two-particle full-vertex towards precise frequency behavior
• PhD Thesis: Electronic correlations in multiorbital systems
• Scan calculation of the density of states: real space cluster perturbation theory applied to inhomogeneous Hubbard model in one dimension
• Nonlocal Excitations and 1/8 Singularity in Cuprates
• Role of substrate induced electron-phonon interactions in biased graphitic bilayers
• Pole structure of the electronic self-energy with coexistence of Charge order and Superconductivity
• Interfacial Strain Modulated Correlated Plasmons in La1.85Sr0.15CuO4 and Their Role in High-temperature Superconductivity
• Evolution of Correlated Electrons in $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ at Ambient Pressure: a Study of Double-Counting Effect
• Beyond on-site Hubbard interaction in charge dynamics of cuprate superconductors
• Frequency Dependent Functional Renormalization Group for Interacting Fermionic Systems
• Non-perturbative effects of short-range spatial correlations at the two-particle level
• Towards analytical approaches to the dynamical-cluster approximation
• Multi-band D-TRILEX approach to materials with strong electronic correlations
• COM(3p) solution of the 2D Hubbard model: momentum resolved quantities
• Dynamics of superconducting pairs in the two-dimensional Hubbard model
• A Multipoint Method for Approximation of Wavefunctions at a Mesoscopic Scale
• Eliminating Orbital Selectivity from the Metal-Insulator Transition by Strong Magnetic Fluctuations
• Spin chain in magnetic field: limitations of the large-N mean-field theory
• Spin-resolved Mott crossover and entanglement in the half-filled Hubbard model
• Machine Learning Green's Functions of Strongly Correlated Hubbard Models
• The behavior of the entanglement entropy in interacting quasi-1D systems and its consequences for their efficient numerical study
• Algorithm for computing perturbation series of dynamical mean field theory
• Comparing Symmetrized Determinant Neural Quantum States for the Hubbard Model
• The Frenkel line and the pseudogap: an analogy between classical and electronic fluids
• A coefficient average approximation towards Gutzwiller wavefunction formalism
• Superconductivity and the quasiparticle mass enhancement near the CDW critical point using Bethe-Salpeter method: Application to cuprates
• Rashba Spin-Orbit Coupling and Nonlocal Correlations in Disordered 2D Systems
• Phase separation near half-filling point in superconducting compounds
• Variational Diagrammatic Monte-Carlo Built on Dynamical Mean-Field Theory
• Long-term memory magnetic correlations in the Hubbard model: A dynamical mean-field theory analysis
• Superconductivity in the bilayer Hubbard model: Are two Fermi surfaces better than one?
• Neel Order and Electron Spectral Functions in the Two-Dimensional Hubbard Model: a Spin-Charge Rotating Frame Approach
• Orbital Mott transition in two dimensional Pyrochlore lattice