Local and nonlocal electronic correlations at the metal-insulator transition in the Hubbard model in two dimensions

Abstract

Elucidating the physics of the single-orbital Hubbard model in its intermediate coupling regime is a key missing ingredient to our understanding of metal-insulator transitions in real materials. Using recent non-perturbative many-body techniques that are able to interpolate between the spin-fluctuation-dominated Slater regime at weak coupling and the Mott insulator at strong-coupling, we obtain the momentum-resolved spectral function in the intermediate regime and disentangle the effects of antiferromagnetic fluctuations and local electronic correlations in the formation of an insulating state. This allows us to identify the Slater and Heisenberg regimes in the phase diagram, which are separated by a crossover region of competing spatial and local electronic correlations. We identify the crossover regime by investigating the behavior of the local magnetic moment, shedding light on the formation of the insulating state at intermediate couplings.

References in corpus (56)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Quantum Cluster Theories
• Ab initio calculations of quasiparticle band structure in correlated systems: LDA++ approach
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• First principles approach to the electronic structure of strongly correlated systems: combining GW and DMFT
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Polaron Problem by Diagrammatic Quantum Monte Carlo
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Screening and Non-local Correlations in the Extended Hubbard Model from Self-Consistent Combined GW and Dynamical Mean Field Theory
• Mott physics and spin fluctuations: a unified framework
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Comparing pertinent effects of antiferromagnetic fluctuations in the two and three dimensional Hubbard model
• Dual boson approach to collective excitations in correlated fermionic systems
• Diagrammatic Monte Carlo for Correlated Fermions
• Efficient perturbation theory for quantum lattice models
• Determinant Diagrammatic Monte Carlo in the Thermodynamic Limit
• Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model
• When strong correlations become weak: Consistent merging of $GW$ and DMFT
• Spectral Properties of Correlated Materials: Local Vertex and Non-Local Two-Particle Correlations from Combined GW and Dynamical Mean Field Theory
• Extended crossover from Fermi liquid to quasi-antiferromagnet in the half-filled 2D Hubbard model
• Ab initio dynamical vertex approximation
• Mott physics and spin fluctuations: a functional viewpoint
• Extended dynamical mean-field study of the Hubbard model with long range interactions
• Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
• Many-Body Approximation Scheme Beyond GW
• On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime
• Consistent partial bosonization of the extended Hubbard model
• Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model
• Spin and charge correlations across the metal-to-insulator crossover in the half-filled $2d$ Hubbard model
• Self-consistent Dual Boson approach to single-particle and collective excitations in correlated systems
• Influence of Fock exchange in combined many-body perturbation and dynamical mean field theory
• Determinant Monte Carlo for irreducible Feynman diagrams in the strongly correlated regime
• Diagrammatic Monte Carlo approach for diagrammatic extensions of dynamical mean-field theory -- convergence analysis of the dual fermion technique
• The Fierz convergence criterion: a controlled approach to strongly-interacting systems with small embedded clusters
• Coexisting charge density wave and ferromagnetic instabilities in monolayer InSe
• Diagrammatic Monte Carlo for Dual Fermions
• From local to non-local correlations: the Dual Boson perspective
• Dual Boson Diagrammatic Monte Carlo Approach Applied to the Extended Hubbard Model
• Self-consistent ladder D$\Gamma$A approach
• TRILEX and $GW$+EDMFT approach to $d$-wave superconductivity in the Hubbard model
• Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
• Plaquette Valence Bond Theory of High-Temperature Superconductivity
• Dual Boson approach with instantaneous interaction
• Metal-insulator transition in the 2D Hubbard model: dual fermion approach with the Lanczos exact diagonalization
• Towards ab initio calculations with the dynamical vertex approximation
• Quantum spin fluctuations and evolution of electronic structure in cuprates
• Dual fermion method as a prototype of generic reference-system approach for correlated fermions
• Extended regime of coexisting metallic and insulating phases in a two-orbital electronic system
• Doping-dependent charge- and spin-density wave orderings in a monolayer of Pb adatoms on Si(111)
• Charge Density Wave Ordering in NdNiO${}_2$: Effects of Multiorbital Nonlocal Correlations

Cited by in corpus (12)

• Exploring the role of nonlocal Coulomb interactions in perovskite transition metal oxides
• On the cuprates' universal waterfall feature: evidence of a momentum-driven crossover
• Fingerprints of a charge ice state in the doped Mott insulator Nb${}_3$Cl${}_8$
• Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• Bath parameterization in multi-band cluster Dynamical Mean-Field Theory
• Non-Fermi-liquid behaviour and Fermi-surface expansion induced by van Hove-driven ferromagnetic fluctuations: the D-TRILEX analysis
• Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
• Dual-space cluster-diagrammatic approach to nonlocal electronic correlations
• Superconductivity of Bad Fermions: Origin of Two Gaps in HTSC Cuprates
• Spin-resolved Mott crossover and entanglement in the half-filled Hubbard model
• Local-moment magnetism in Mn-based pnictides