One-Dimensional XXZ Model for Particles Obeying Fractional Statistics

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We define one-dimensional particles as non-abelian representations of the symmetric group $S_N$. The exact solution of an $XXZ$ type Hamiltonian built up with such particles is achieved using the coordinate Bethe Ansatz. The Bethe equations show that fractional statistics, effectively, accounts for coupling an external gauge field to an integer statistics' system.
4 pages revtex. Accepted for publication in PRB, Rapid Communication. Minor changes

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Strongly Correlated Electrons, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/98511

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9803074
 http://arxiv.org/abs/cond-mat/9803074
 Phys. Rev. B, Vol 58, 1703 R (1998)
 doi:10.1103/PhysRevB.58.R1703

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