Finite-temperature hole dynamics in the t-J model: Exact results for high dimensions

TL;DR

This paper provides an exact analysis of how a single hole moves at finite temperature in the t-J model in high dimensions, revealing a smooth transition from string-pinned to paramagnetic behavior.

Contribution

It offers a simple, exact solution for the finite-temperature hole dynamics in the t-J model in high dimensions, illustrating the thermal evolution of the string picture.

Findings

Continuous thermal evolution from T=0 to paramagnetic phase

Exact solution in high dimensions for hole dynamics

Insight into string-pinned to paramagnetic transition

Abstract

We discuss the dynamics of a single hole in the t-J model at finite temperature, in the limit of large spatial dimensions. The problem is shown to yield a simple and physically transparent solution, that exemplifies the continuous thermal evolution of the underlying string picture from the T=0 string-pinned limit through to the paramagnetic phase.