Elementary Excitations of One-Dimensional t-J Model with Inverse-Square Exchange

Details Elementary Excitations of One-Dimensional t-J Model with Inverse-Square Exchange Elementary Excitations of One-Dimensional t-J Model with Inverse-Square Exchange

1994-06-14

arxiv.org/abs/cond-mat/9406059v1

Physics

Condensed Matter

Revtex 12 pages + 4 figures, IASSNS-HEP-94/42 (June 14, 1994)

Scientific paper

10.1103/PhysRevLett.73.2887

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 $S=1/2$ spinons and spinless (charge $-e$) holons with semionic fractional statistics, and bosonic (charge +2$e$) ``anti-holons'' which are excitations of the holon condensate. Due to the supersymmetric Yangian quantum symmetry of this model, only the excited states with {\it finite} number of elementary excitations contribute to the spectral functions. We find a set of selection rules, and this allows us to map out the regions of non-vanishing spectral weight in the energy-momentum space for the various correlation functions.

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