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Chinese Physics Letters

Electrical Conductivity of the Two-Dimensional Half-Filled Hubbard Model

Feng Chen, He-Ping Ying, Tiefeng Xu, Wenzhu Li

Published Jan 1, 1994• 1 citation
Publisher

Abstract

The electrical conductivity of the one-band Hubbard model on a two-dimensional square lattice at half-filling is studied through the grand canonical quantum Monte Carlo method. Our results support that there exists an insulator-to-metal transition for the half-filled Hubbard model at high temperature.
DOI
10.1088/0256-307x/11/1/016

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We report on a numerical study of the two-dimensional Hubbard model and describe two new algorithms for the simulation of many-electron systems. These algorithms allow one to carry out simulations within the grand canonical ensemble at significantly lower temperatures than had previously been obtained and to calculate ground-state properties with fixed numbers of electrons. We present results for the two-dimensional Hubbard model with half- and quarter-filled bands. Our results support the existence of long-range antiferromagnetic order in the ground state at half-filling and its absence at quarter-filling. Results for the magnetic susceptibility and the momentum occupation along with an upper bound to the spin-wave spectrum are given. We find evidence for an attractive effective d-wave pairing interaction near half-filling but have not found evidence for a phase transition to a superconducting state.