Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model

Abstract

We explore the use of exact diagonalization methods for solving the self consistent equations of the cellular dynamical mean field theory (CDMFT) for the one dimensional regular and extended Hubbard models. We investigate the nature of the Mott transition and convergence of the method as a function of cluster size as well as the optimal allocation of computational resources between bath and `cluster-impurity' sites, with a view to develop a renormalization group method in higher dimensions. We assess the performance of the method by comparing results for the Green's functions in both the spin density wave (SDW) and charge density wave (CDW) phases with accurate density matrix renormalization group (DMRG) calculations.

8 pages, 9 figures

References in corpus (15)

• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Extended Dynamical Mean Field Theory and GW method
• Density matrix algorithm for the calculation of dynamical properties of low dimensional systems
• Spatial Correlations in Dynamical Mean Field Theory
• Effective action approach to strongly correlated fermion systems
• Excitons in one-dimensional Mott insulators
• Correlation Induced Insulator to Metal Transitions
• A note on cluster methods for strongly correlated electron systems
• Landau Theory of the Mott Transition in the Fully Frustrated Hubbard Model in Infinite Dimensions
• The Metal-Insulator Transition in the Hubbard Model at Zero Temperature II
• Semiclassical Analysis of Extended Dynamical Mean Field Equations
• Optical response in one dimensional Mott Insulators

Cited by in corpus (52)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Quantum Cluster Theories
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Pseudogap induced by short-range spin correlations in a doped Mott insulator
• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators
• Sum-rules and bath-parametrization for quantum cluster theories
• Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model
• Temperature and bath size in exact diagonalization dynamical mean field theory
• Charge ordering in extended Hubbard models: Variational cluster approach
• Novel Phase Between Band and Mott Insulators in Two Dimensions
• Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory
• Band insulator to Mott insulator transition in a bilayer Hubbard model
• Cluster Dynamical Mean-Field Theory of the density-driven Mott transition in the one-dimensional Hubbard model
• Interacting Dirac Fermions on Honeycomb Lattice
• Slave spin cluster mean field theory away from half-filling: Application to the Hubbard and the extended Hubbard Model
• Charge ordering and correlation effects in the extended Hubbard model
• Cluster Dynamical Mean Field Theories
• Coupled-cluster impurity solvers for dynamical mean-field theory
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Benchmark of a modified Iterated Perturbation Theory approach on the 3d FCC lattice at strong coupling
• Quantum Monte Carlo Study of Strongly Correlated Electrons: Cellular Dynamical Mean-Field Theory
• Electron interactions, spin-orbit coupling, intersite correlations in pyrochlore iridates
• Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxation
• Mott transition in one dimension: Benchmarking dynamical cluster approaches
• Cluster Dual Fermion Approach to Nonlocal Correlations
• Charge ordering and non-local correlations in the doped extended Hubbard model
• Potential-energy (BCS) to kinetic-energy (BEC)-driven pairing in the attractive Hubbard model
• Quantum cluster approach to the spinful Haldane-Hubbard model
• Non-local correlations in metals close to a charge order insulator transition
• Electronic Properties of the Hubbard Model on a Frustrated Triangular Lattice
• Hidden physics in the dual-fermion approach - a special case of a non-local expansion scheme
• Dynamical Mean-Field Theory Simulations with the Adaptive Sampling Configuration Interaction Method
• Strong Coupling Theory for Interacting Lattice Models
• Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
• Extended Variational Cluster Approximation
• Cluster solver for dynamical mean-field theory with linear scaling in inverse temperature
• Dimensional-crossover-driven Mott transition in the frustrated Hubbard model
• Phase transitions and spectral properties of the ionic Hubbard model in one dimension
• Properties of the one-dimensional Hubbard model: cellular dynamical mean-field description
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Pyqcm: An open-source Python library for quantum cluster methods
• Cluster Dynamical Mean-field calculations for TiOCl
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• A comparative DMFT study of the eg-orbital Hubbard model in thin films
• Dynamical Variational Monte Carlo as a quantum impurity solver: Application to Cluster Dynamical Mean-Field Theory
• Bond-dependent slave-particle cluster theory based on density matrix expansion
• Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model
• Non-perturbative effects of short-range spatial correlations at the two-particle level