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 4×4 and 6×6 lattices. In this paper we report measurements for all k states in the small t/J regime 0≤t/J≤0.2, and extrapolate to 0≤t/J≤0.5. Our results support the conjecture that the linear-t component of the bandwidth at small t/J vanishes as κ/${\mathit{L}}^2$ 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.

• Received 24 April 1992

DOI:https://doi.org/10.1103/PhysRevB.47.11247