Numerical study of the two-dimensional Hubbard model

作者：Steven R. White, Douglas J. Scalapino, Robert L. Sugar, Eugene Loh, James E. Gubernatis, Richard T. Scalettar · 发表于：Physical review. B, Condensed matter · 年份：1989 · DOI：10.1103/physrevb.40.506 · 被引用次数：964 · 研究领域：Physics of Superconductivity and Magnetism、Quantum and electron transport phenomena、Advanced Chemical Physics Studies

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.