Continuous Time Quantum Monte Carlo method for fermions

Abstract

We present numerically exact continuous-time Quantum Monte Carlo algorithm for fermions with a general non-local in space-time interaction. The new determinantal grand-canonical scheme is based on a stochastic series expansion for the partition function in the interaction representation. The method is particularly applicable for multi-band time-dependent correlations since it does not invoke the Hubbard-Stratonovich transformation. The test calculations for exactly solvable models as well results for the Green function and for the time-dependent susceptibility of the multi-band super-symmetric model with a spin-flip interaction are discussed.

10 pages, 7 Figures

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• 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
• The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code
• Magnetic Compton profiles of Ni beyond the one-particle picture: numerically exact and perturbative solvers of dynamical mean-field theory
• Theoretical design of highly correlated electron states in delafossite heterostructures
• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
• Gutzwiller Renormalization Group
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• Photoemission "experiments" on holographic lattices
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Minimally Entangled Typical Thermal States Algorithms for Finite Temperature Matsubara Green Functions
• Spectral properties of heterostructures containing half-metallic ferromagnets in the presence of local many-body correlations
• Cluster Dynamical Mean-Field Methods for d-wave Superconductors: the Role of Geometry
• CT-X: an efficient continuous-time quantum Monte Carlo impurity solver in Kondo Regime
• DMFT study on the electron-hole asymmetry of the electron correlation strength in the high Tc cuprates
• Causal optimization method for imaginary-time Green's functions in interacting electron systems
• Full self-consistency versus quasiparticle self-consistency in diagrammatic approaches: Exactly solvable two-site Hubbard Model
• Reduction of $\mathbb{Z}$ classification of a two-dimensional weak topological insulator - real-space DMFT study -
• Scaling theory vs exact numerical results for spinless resonant level model
• Nonlinear thermoelectric response of quantum dots: renormalized dual fermions out of equilibrium
• Kernel polynomial representation of imaginary-time Green's functions
• Fast multi-orbital equation of motion impurity solver for dynamical mean field theory
• Combinatorial summation of Feynman diagrams: Equation of state of the 2D SU(N) Hubbard model
• Generalized gradient expansion for inhomogeneous dynamical mean-field theory: Application to ultracold atoms in a harmonic trap
• Parameter-free analytic continuation for quantum many-body calculations
• Density Matrix Embedding Theory and Strongly Correlated Lattice Systems
• The finite-difference parquet method: Enhanced electron-paramagnon scattering opens a pseudogap
• Non-local correlation effects and metal-insulator transition in the s-d exchange model
• Spin-orbit coupling and Kondo resonance in Co adatom on Cu(100) surface: DFT+ED study
• Efficient treatment of the high-frequency tail of the self-energy function and its relevance for multi-orbital models
• Anisotropic two-orbital Hubbard model: single-site versus cluster dynamical mean-field theory
• Denoising of Imaginary Time Response Functions with Hankel projections
• Real-space renormalized dynamical mean field theory
• Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• Strong-coupling approach to the Mott--Hubbard insulator on a Bethe lattice in Dynamical Mean-Field Theory
• Tensor cross interpolation approach for quantum impurity problems based on the weak-coupling expansion
• A comprehensive study of out-of-equilibrium Kondo effect and Coulomb blockade
• Electron correlation effects in paramagnetic cobalt
• Unsupervised Learning of Effective Quantum Impurity Models
• Superperturbation theory on the real-axis
• Fermion Bag Approach for Hamiltonian Lattice Field Theories
• Current noise in quantum dot thermoelectric engines
• Full-counting statistics of particle distribution on a digital quantum computer
• Non-Fermi-liquid behaviour and Fermi-surface expansion induced by van Hove-driven ferromagnetic fluctuations: the D-TRILEX analysis
• Splitting of electronic spectrum in paramagnetic phase of itinerant ferromagnets and altermagnets
• Third-order strong-coupling impurity solver for real-frequency DMFT: Accurate spectral functions for antiferromagnetic and photo-doped states
• Full and unbiased solution of the Dyson-Schwinger equation in the functional integro-differential representation
• Non-Equilibrium Steady States and Quantum Chaos in a three-site Driven-Dissipative Bose-Hubbard Chains base on Self-Consistent Mean-Field Approach
• Simplification of the local full vertex in the impurity problem in DMFT and its applications for the nonlocal correlation
• Rejection-free quantum Monte Carlo in continuous time from transition path sampling
• Physically interpretable approximations of many-body spectral functions
• Scalable tensor network algorithm for quantum impurity problems
• Inchworm tensor train hybridization expansion quantum impurity solver
• Exchange interactions in itinerant magnets: the effects of local particle-hole irreducible vertex corrections and SU(2) symmetry of Hund interaction
• Disentangling real space fluctuations: the diagnostics of metal-insulator transitions beyond single-particle spectral functions
• Navigating the trends in the proximity to magnetic quantum critical point and superconductivity for Ce-based heavy-fermion compounds
• Reentrance of metal-insulator transition and magnetic competitions on a triangular lattice with second nearest-neighbor hopping
• Thermopower enhancement from engineering the Na${}_{0.7}$CoO${}_2$ interacting fermiology via Fe doping
• In-Depth Investigation of Phase Transition Phenomena in Network Models Derived from Lattice Models
• Kondo screening of spin-charge separated fluxons by a helical liquid
• Continuous-time Quantum Monte Carlo Approach for Impurity Anderson Models with Phonon-assisted Hybridizations
• Finite Temperature Minimal Entangled Typical Thermal States Impurity Solver
• Coulomb correlations and magnetic properties of L1${}_0$ FeCo: a DFT+DMFT study
• Dual-space cluster-diagrammatic approach to nonlocal electronic correlations
• Continuous-Time Quantum Monte Carlo Study of Local Non-Fermi Liquid State in the Multichannel Anderson Model
• Comparing the effective enhancement of local and non-local spin-orbit couplings on honeycomb lattices due to strong electronic correlations
• Multi-band D-TRILEX approach to materials with strong electronic correlations
• Proton fraction in neutron star matter: Dynamical mean-field approach
• Worldline algorithm by oracle-guided variational autoregressive network
• Universal Mott quantum criticality in a modified periodic Anderson model
• Advanced measurement techniques in quantum Monte Carlo: The permutation matrix representation approach
• Nematic Metal and Antiferromagnetic Insulator on Hexagonal Kagome Lattice
• Improvement of the simplification method for the local two-particle full-vertex towards precise frequency behavior
• Evolution of the spectrum and the metal-insulator transition in local approximations for many-electron models
• Automated evaluation of imaginary time strong coupling diagrams by sum-of-exponentials hybridization fitting
• Superfluid gap formation in a fermionic optical lattice with spin imbalanced populations
• Tree tensor network impurity solver based on Cayley-tree mapping
• Fermionic-propagator and alternating-basis quantum Monte Carlo methods for correlated electrons on a lattice
• Multi-orbital dynamical mean-field theory with a complex-time solver
• Non-perturbative effects of short-range spatial correlations at the two-particle level
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO