Single hole dynamics in the one dimensional t-J model

TL;DR

This paper introduces a finite-temperature quantum Monte Carlo method to analyze the spectral functions of a single hole in the one-dimensional t-J model, revealing charge-spin separation and finite-size scaling of quasiparticle weight.

Contribution

It presents a novel quantum Monte Carlo algorithm combined with Maximum Entropy for spectral analysis in the 1D t-J model, demonstrating charge-spin separation and quasiparticle scaling.

Findings

Spectral functions are well-described by charge-spin separation across energy ranges.

Quasiparticle weight Z_k scales as L^{-1/2} with system size.

Bandwidth W approximately 4t + J for various J/t ratios.

Abstract

We present a new finite-temperature quantum Monte Carlo algorithm to compute imaginary-time Green functions for a single hole in the t-J model on non-frustrated lattices. Spectral functions are then obtained with the Maximum Entropy method. Simulations of the one-dimensional case show that a simple charge-spin separation Ansatz is able to describe the overall features of the spectral function over the whole energy range for values of J/t from 1/3 to 4. This includes the bandwidth W \sim 4t + J and the compact support of the spectral function. The quasiparticle weight Z_k is computed on lattices up to L=96 sites, and scales as Z_k\propto L^{-1/2}.