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

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