Elementary Excitations of One-Dimensionalt−JModel with Inverse-Square Exchange

We identify exact excitation content of the intermediate states for the one-particle Green's functions, spin-spin, and (charge) density-density correlation functions of the periodic one-dimensional $t-J$ model with inverse-square exchange. The excitations consist of neutral $S=\frac{1}{2}$ spinons and spinless (charge $-e$ holons with semionic fractional statistics and bosonic (charge $+2e$) "antiholons" which are excitations of the holon condensate. We find a set of selection rules and the regions of nonvanishing spectral weight in the energy-momentum space for the various correlation functions.