Numerical simulation of quantum many-body systems. Progress report for March 1, 1991--September 1, 1993

Technical Report · Fri Dec 31 04:00:00 EST 1993

DOI:https://doi.org/10.2172/10133898· OSTI ID:10133898

Scalapino, D J; Sugar, R L

Understanding the physical properties of strongly interacting many-electron systems remains one of the central goals of condensed matter physics. In this project, the authors have developed and implemented numerical techniques, such as quantum Monte Carlo simulations, to study basic models of interacting electrons: the one-band Hubbard model for positive and negative U, the three-band CuO{sub 2} Hubbard model, the Holstein electron-phonon model, the periodic Anderson model, and the Kondo lattice. Such models exhibit a rich variety of physical properties. For example, the half-filled Holstein model undergoes a Peierls-charge-density wave transition. While away from half-filling there is competition between superconductivity and the Peierls-charge-density wave phase. The ground state of the half-filled 2D Hubbard model has long-range antiferromagnetic order. Away from half-filling, it has been found to have an attractive interaction in the singlet d{sub x{sup 2}{minus}y{sup 2}} pairing channel, and it provides a model for the high-temperature cuprate superconductors. Similarly, it is believed that the periodic Anderson model and the Kondo lattice model provide a framework for understanding the heavy fermion materials which can exhibit antiferromagnetic and superconducting phases. Because of the strong coupling and the interplay between the different correlations, it is possible to tip these delicately balanced systems in favor of a given correlated state by the approximations one makes. Thus it is important to develop systematic, controlled calculations for these models. Numerical calculations provide an important approach for determining the properties of such models. A review of the work on these problems is presented.

• Research Organization: California Univ., Santa Barbara, CA (United States). Dept. of Physics
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: FG03-85ER45197
• OSTI ID: 10133898
• Report Number(s): DOE/ER/45197--8; ON: DE94008451
• Country of Publication: United States
• Language: English

Related Subjects

665000
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRONIC STRUCTURE
ELECTRONS
HUBBARD MODEL
MANY-BODY PROBLEM
MONTE CARLO METHOD
PHYSICS OF CONDENSED MATTER
PROGRESS REPORT
SOLIDS