Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model

Abstract

We apply the dual fermion approach with a second-order approximation to the self-energy to the Mott transition in the two-dimensional Hubbard model. The approximation captures nonlocal dynamical short-range correlations as well as several features observed in studies using cluster dynamical mean-field theory. This includes a strong reduction of the critical interaction and inversion of the slope of the transition lines with respect to single-site dynamical mean-field theory. We show that these effects coincide with a much smaller momentum differentiation compared to cluster methods. We further discuss the role of the self-consistency condition and show that the approximation behaves as an asymptotic series at low temperature.

arXiv comment11 pages, 12 figures

References in corpus (33)

• Quantum Cluster Theories
• A continuous-time solver for quantum impurity models
• The ALPS project release 2.0: Open source software for strongly correlated 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
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Fate of the false Mott-Hubbard transition in two dimensions
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Efficient perturbation theory for quantum lattice models
• Improved Estimators for the Self-Energy and Vertex Function in Hybridization Expansion Continuous-Time Quantum Monte Carlo Simulations
• Momentum-sector-selective metal-insulator transition in the eight-site dynamical mean-field approximation to the Hubbard model in two dimensions
• Dynamical vertex approximation in its parquet implementation: application to Hubbard nano-rings
• Superconductivity, antiferromagnetism and phase separation in the two-dimensional Hubbard model: A dual-fermion approach
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory
• Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
• Efficient implementation of the continuous-time hybridization expansion quantum impurity solver
• Self-consistent Dual Boson approach to single-particle and collective excitations in correlated systems
• Diagrammatic Monte Carlo approach for diagrammatic extensions of dynamical mean-field theory -- convergence analysis of the dual fermion technique
• Diagrammatic Monte Carlo for Dual Fermions
• Study of the Hubbard model on the triangular lattice using dynamical cluster approximation and dual fermion methods
• Conservation in two-particle self-consistent extensions of dynamical-mean-field-theory
• Cluster Dual Fermion Approach to Nonlocal Correlations
• Double occupancy in DMFT and the Dual Boson approach
• Dual Fermion Dynamical Cluster Approach for Strongly Correlated Systems
• Precursors of the insulating state in the square lattice Hubbard model
• Momentum-Space Cluster Dual Fermion Method
• Impact of self-consistency in dual fermion calculations
• Intersite electron correlations in a Hubbard model on inhomogeneous lattices
• Intersite electron correlations on inhomogeneous lattices: a real-space dual fermion approach

Cited by in corpus (18)

• Extended crossover from Fermi liquid to quasi-antiferromagnet in the half-filled 2D Hubbard model
• Consistent partial bosonization of the extended Hubbard model
• Charge transport in the Hubbard model at high temperatures: triangular versus square lattice
• Fluctuation diagnostic of the nodal/antinodal dichotomy in the Hubbard model at weak coupling: a parquet dual fermion approach
• Self-consistent ladder D$\Gamma$A approach
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• Dual Boson approach with instantaneous interaction
• Metal-insulator transition in the 2D Hubbard model: dual fermion approach with the Lanczos exact diagonalization
• Fluctuation diagnostics of the finite temperature quasi-antiferromagnetic regime of the 2D Hubbard model
• Impact of self-consistency in dual fermion calculations
• Coherent heavy charge carriers in an organic conductor near the bandwidth-controlled Mott transition
• Non-local Correlation Effects in Fermionic Many-Body Systems: Overcoming the Non-causality Problem
• Second-order dual fermion for multi-orbital systems
• Simplification of the local full vertex in the impurity problem in DMFT and its applications for the nonlocal correlation
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model
• Improvement of the simplification method for the local two-particle full-vertex towards precise frequency behavior
• Eliminating Orbital Selectivity from the Metal-Insulator Transition by Strong Magnetic Fluctuations