Variational Monte Carlo Studies of t-J-type Models

TL;DR

This paper reviews recent variational Monte Carlo studies on t-J models, including new results on one- and two-dimensional systems and a supersymmetric variant with long-range interactions, highlighting advances in understanding strongly correlated electrons.

Contribution

It provides a comprehensive review and new insights into t-J models using variational Monte Carlo, especially on supersymmetric and long-range coupled variants.

Findings

Successful application of variational Monte Carlo to t-J models

New results on supersymmetric t-J model with inverse square interactions

Enhanced understanding of strongly correlated electron systems

Abstract

We give a brief review of recent developments by the variational Monte Carlo method, in addition to some new results. We discuss $t$-$J$-type models: the ordinary $t$-$J$ model in one and two dimensions, and the one-dimensional supersymmetric $t$-$J$ model with the long-range coupling of inverse square.