Statistical properties and statistical interaction for particles with spin: Hubbard model in one dimension and statistical spin liquid

Details Statistical properties and statistical interaction for particles with spin: Hubbard model in one dimension and statistical spin liquid Statistical properties and statistical interaction for particles with spin: Hubbard model in one dimension and statistical spin liquid

1994-06-23

arxiv.org/abs/cond-mat/9406095v2

Physics

Condensed Matter

(RevTex, 16 pages, improved version)

Scientific paper

10.1103/PhysRevB.50.11403

We derive the statistical distribution functions for the Hubbard chain with infinite Coulomb repulsion among particles and for the statistical spin liquid with an arbitrary magnitude of the local interaction in momentum space. Haldane's statistical interaction is derived from an exact solution for each of the two models. In the case of the Hubbard chain the charge (holon) and the spin (spinon) excitations decouple completely and are shown to behave statistically as fermions and bosons, respectively. In both cases the statistical interaction must contain several components, a rule for the particles with the internal symmetry.

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