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Physical review. B, Condensed matter

Monte Carlo study of one-hole band structure in thet-Jmodel

Ted Barnes, Mitchel D. Kovarik

Published May 1, 1993• 3 citations
Publisher

Abstract

We present Monte Carlo results for the band structure of the lowest-lying ${\mathit{S}}_{\mathrm{tot}}$=1/2 one-hole band in the t-J model on 4\ifmmode\times\else\texttimes\fi{}4 and 6\ifmmode\times\else\texttimes\fi{}6 lattices. In this paper we report measurements for all k states in the small t/J regime 0\ensuremath{\le}t/J\ensuremath{\le}0.2, and extrapolate to 0\ensuremath{\le}t/J\ensuremath{\le}0.5. Our results support the conjecture that the linear-t component of the bandwidth at small t/J vanishes as \ensuremath{\kappa}/${\mathit{L}}^{2}$ 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 t/J with improved importance sampling.

DOI
10.1103/physrevb.47.11247

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We present Monte Carlo results for the band structure of the lowest-lying Stot{\mathit{S}}_{\mathrm{tot}}Stot​=1/2 one-hole band in the t-J model on 4\ifmmode\times\else\texttimes\fi{}4 and 6\ifmmode\times\else\texttimes\fi{}6 lattices. In this paper we report measurements for all k states in the small t/J regime 0\ensuremath{\le}t/J\ensuremath{\le}0.2, and extrapolate to 0\ensuremath{\le}t/J\ensuremath{\le}0.5. Our results support the conjecture that the linear-t component of the bandwidth at small t/J vanishes as \ensuremath{\kappa}/L2{\mathit{L}}^{2}L2 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 t/J with improved importance sampling.
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