Exact Charge Dynamics in the Supersymmetric t-J Model with Inverse-Square Interaction

TL;DR

This paper analytically derives the dynamical charge structure factor for the 1D supersymmetric t-J model with inverse-square interaction, revealing strong spin-charge separation and specific holon contributions.

Contribution

It provides the first exact analytical expression for the charge structure factor in this model, highlighting spin-charge separation and holon contributions in the thermodynamic limit.

Findings

Strong spin-charge separation in dynamics

Charge structure factor independent of spin polarization

Only two holons and one antiholon contribute in the thermodynamic limit

Abstract

Dynamical charge structure factor $N(Q,\omega)$ with $Q$ smaller than the Fermi wave number is derived analytically for the one-dimensional supersymmetric t-J model with $1/r^2$ interaction. Strong spin-charge separation in dynamics is found. $N(Q,\omega)$ with given electron density does not depend on the spin polarization for arbitrary size of the system. In the thermodynamic limit, only two holons and one antiholon contribute to $N(Q,\omega)$. These results together with generalized ones for the SU($K$,1) supersymmetric t-J model are derived via solution of the Sutherland model in the strong coupling limit.