Numerical study of the two-dimensional Hubbard model

Journal Article · Sat Jul 01 04:00:00 EDT 1989 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.40.506· OSTI ID:5627396

White, S R; Scalapino, D J; Sugar, R L; Loh, E Y; Gubernatis, J E; Scalettar, R T

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 /ital d/-wave pairing interaction near half-filling but have not found evidence for a phase transition to a superconducting state.

• Research Organization: Department of Physics, University of California, Santa Barbara, Santa Barbara, California 93106 (US); Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545; Department of Physics, University of Illinois, Urbana-Champaign, Urbana, Illinois 61801
• DOE Contract Number: FG03-85ER45197
• OSTI ID: 5627396
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 40:1; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
ANTIFERROMAGNETISM
BAND THEORY
ELECTRONIC STRUCTURE
ENERGY LEVELS
GROUND STATES
INTERACTIONS
MAGNETISM
MANY-BODY PROBLEM
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
PAIRING INTERACTIONS
SIMULATION
SPIN WAVES
TWO-DIMENSIONAL CALCULATIONS