Dynamical Properties of the One-Dimensional Supersymmetric<i><i>t</i></i>-<i><i>J</i></i>Model: A View from Elementary Excitations

Abstract

Dynamical properties, such as dynamical spin and charge structure factors and\nsingle-particle spectral functions, are studied for the one-dimensional\nsupersymmetric t-J model with inverse-square interaction. Exact diagonalization\nand the recursion method are used for finite systems up to 16 sites. A simple\nrule is proposed to understand the supermultiplet structure in the excitation\nspectrum. Numerical calculations show that the dynamical spin structure factor\nis independent of the electron density in the region where only two spinons\ncontribute. In the electron removal spectrum from half-filling, close\ncorrespondence is found between the dominant contribution from three-spinon\nplus one-holon states in the t-J model and the two-spinon excitations in the\nHaldane-Shastry model. Comparison is made with dynamics of the nearest-neighbor\nsupersymmetric t-J model.\n