A Monte Carlo study of the ``minus sign problem`` in the t-J model using an intel IPSC/860 hypercube
- Oak Ridge National Lab., TN (United States)
We describe a Monte Carlo simulation of the 2-dimensional t-J model 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. We demonstrate that a qualitative picture at higher hopping parameters may be found by extrapolating weak hopping results where the minus sign problem is less severe. Generalization to physical hopping parameter values will 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:
- 10188574
- Report Number(s):
- CONF-9302112-4; ON: DE95001072; CNN: Contract R01-1062-32; TRN: 94:021060
- Resource Relation:
- Conference: Mardi Gras conference on concurrent computing in the physical sciences,Baton Rouge, LA (United States),18-20 Feb 1993; Other Information: PBD: [1993]
- Country of Publication:
- United States
- Language:
- English
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