Variational study of a mobile hole in a two dimensional quantum antiferromagnet using entangled-plaquette states

TL;DR

This paper uses variational Monte Carlo with entangled-plaquette states to analyze a mobile hole in the 2D quantum antiferromagnet, providing accurate energy and spectral weight estimates consistent with previous studies.

Contribution

It introduces a variational approach with entangled-plaquette states to study the $t-J$ model, achieving results in agreement with established numerical methods.

Findings

Accurate energy estimates for small lattices match exact results.

Quantitative agreement of dispersion curves with previous studies.

Provides precise spectral weight estimates.

Abstract

We study the properties of a mobile hole in the $t-J$ model on the square lattice by means of variational Monte Carlo simulations based on the entangled-plaquette ansatz. Our energy estimates for small lattices reproduce available exact results. We obtain values for the hole energy dispersion curve on large lattices in quantitative agreement with earlier findings based on the most reliable numerical techniques. Accurate estimates of the hole spectral weight are provided.