Monte Carlo study of one-hole band structure in the [ital t]-[ital J] model

Journal Article · Sat May 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.47.11247· OSTI ID:6642380

Barnes, T ^[1]; Kovarik, M D ^[2]

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1. Physics Division and Center for Computationally Intensive Physics, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373 (United States) Department of Physics, University of Tennessee, Knoxville, Tennessee 37996-1200 (United States)
2. Physics Division and Center for Computationally Intensive Physics, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373 (United States) Department of Physics, University of Tennessee, Knoxville, Tennessee 37996-1200 (United States) University of Tennessee Computer Center, Knoxville, Tennessee 37996-0520 (United States)

We present Monte Carlo results for the band structure of the lowest-lying [ital S][sub tot]=1/2 one-hole band in the [ital t]-[ital J] model on 4[times]4 and 6[times]6 lattices. In this paper we report measurements for all [bold k] states in the small [ital t]/[ital J] regime 0[le][ital t]/[ital J][le]0.2, and extrapolate to 0[le][ital t]/[ital J][le]0.5. Our results support the conjecture that the linear-[ital t] component of the bandwidth at small [ital t]/[ital J] vanishes as [kappa]/[ital L][sup 2] in the bulk limit, as was anticipated on theoretical grounds; this implies that the propagation of isolated holes is strongly hindered by the staggered magnetization of the ground state. For this initial study we used a very simple trial wave function for importance sampling; it should be possible to obtain comparably accurate Monte Carlo results for band structure at appreciably larger [ital t]/[ital J] with improved importance sampling.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 6642380
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 47:17; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BAND THEORY
CALCULATION METHODS
DISPERSION RELATIONS
HOLES
MATHEMATICAL MODELS
MONTE CARLO METHOD
STATISTICAL MODELS