Precursors of the insulating state in the square lattice Hubbard model

Abstract

We study the two-dimensional square lattice Hubbard model for small to moderate interaction strengths $1\le U/t\le 4$ by means of the ladder dual fermion approach. The non-local correlations beyond dynamical mean-field theory lower the potential energy, lead to a maximum in the uniform susceptibility and induce a pseudogap in the density of states. While the self-energy exhibits precursors of a possible insulating phase linked to the appearance of long-range fluctuations, the metallic phase persists within the accessible temperature range. Finite-size effects affect results qualitatively. Upper bounds on the crossover temperature are found to be significantly lower than previously reported dynamical vertex approximation results at $U/t=1$.

References in corpus (10)

• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• Fate of the false Mott-Hubbard transition in two dimensions
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Superconductivity, antiferromagnetism and phase separation in the two-dimensional Hubbard model: A dual-fermion approach
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Efficient implementation of the continuous-time hybridization expansion quantum impurity solver
• Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions
• Conservation in two-particle self-consistent extensions of dynamical-mean-field-theory
• From Hubbard bands to spin-polaron excitations in the doped Mott material Na${}_x$CoO${}_2$

Cited by in corpus (21)

• The Hubbard model: A computational perspective
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Spin and charge correlations across the metal-to-insulator crossover in the half-filled $2d$ Hubbard model
• Multiloop functional renormalization group for the two-dimensional Hubbard model: Loop convergence of the response functions
• Boson-Exchange Parquet Solver for dual fermions
• Parquet-like equations for the Hedin three-leg vertex
• Fluctuation diagnostic of the nodal/antinodal dichotomy in the Hubbard model at weak coupling: a parquet dual fermion approach
• Efficient evaluation of the polarization function in dynamical mean-field theory
• Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory
• Local Plaquette Physics as Key Ingredient of High-Temperature Superconductivity in Cuprates
• Metal-insulator transition in the 2D Hubbard model: dual fermion approach with the Lanczos exact diagonalization
• Multiband Dual Fermion Approach to Quantum Criticality in the Hubbard Honeycomb Lattice
• Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model
• Bandwidth renormalization due to the intersite Coulomb interaction
• Scaling theory for Mott-Hubbard transitions
• The extended Hubbard model with attractive interactions
• Fermi and Luttinger arcs: two concepts, realized on one surface
• Impact of self-consistency in dual fermion calculations
• Magnetic properties and temperature variation of spectra in the Hubbard model
• Second-order dual fermion for multi-orbital systems
• Eliminating Orbital Selectivity from the Metal-Insulator Transition by Strong Magnetic Fluctuations