Simulating the Euclidean time Schroedinger equations using an Intel iPSC/860 hypercube: Application to the t-J model of high-{Tc} superconductivity

Conference · Fri Oct 01 00:00:00 EDT 1993

OSTI ID:10191846

Kovarik, M D; Barnes, T ^[1]

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1. Oak Ridge National Lab., TN (United States)

We describe a Monte Carlo simulation of a dynamical fermion problem in two spatial dimensions on an Intel iPSC/860 hypercube. The problem studied is the determination of the dispersion relation of a dynamical hole in the t-J model of the high temperature superconductors. Since this problem involves the motion of many fermions in more than one spatial dimensions, it is representative of the class of systems that suffer from the ``minus sign problem`` of dynamical fermions which has made Monte Carlo simulation very difficult. We demonstrate that for small values of the hole hopping parameter one can extract the entire hole dispersion relation using the GRW Monte Carlo algorithm, which is a simulation of the Euclidean time Schroedinger equation, and present results on 4 {times} 4 and 6 {times} 6 lattices. Generalization to physical hopping parameter values wig only require use of an improved trial wavefunction for importance sampling.

• Research Organization: Oak Ridge National Lab., TN (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 10191846
• Report Number(s): CONF-9302137-2; ON: DE94000489; TRN: 93:023982
• Resource Relation: Conference: 6. annual workshop on recent developments in computer simulation studies in condensed matter physics,Athens, GA (United States),22-26 Feb 1993; Other Information: PBD: [1993]
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HIGH-TC SUPERCONDUCTORS
SCHROEDINGER EQUATION
COMPUTERIZED SIMULATION
PARALLEL PROCESSING
HYPERCUBE COMPUTERS
MONTE CARLO METHOD
TIME DEPENDENCE
ALGORITHMS
MATRIX ELEMENTS
PERTURBATION THEORY
665411
990200
BASIC SUPERCONDUCTIVITY STUDIES
MATHEMATICS AND COMPUTERS