Exact ground state correlations in the supersymmetric $1/r^2$ exchange $t-J$ model

TL;DR

This paper calculates exact ground state static correlation functions for a supersymmetric $1/r^2$ exchange $t-J$ model, providing precise insights into spin and hole correlations in this quantum system.

Contribution

It provides the first exact calculations of several key correlation functions in the supersymmetric $1/r^2$ exchange $t-J$ model, advancing understanding of its ground state properties.

Findings

Exact pair distribution functions for spins and holes

Precise one-body density matrix for holes

Enhanced understanding of ground state correlations

Abstract

Some ground state static correlation functions for the $1/r^2$ exchange $t-J$ model of Kuramoto and Yokoyama are calculated exactly. The correlations calcualted are the pair distribution functions between two down spins, a down spin and a hole, and two holes, and the one body density matrix (equal time retarded Green's function) for holes