One-Dimensional XXZ Model for Particles Obeying Fractional Statistics

Abstract

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.

arXiv comment4 pages revtex. Accepted for publication in PRB, Rapid Communication. Minor changes

References in corpus (2)

• Anyons and Quantum Groups
• A new class of exactly solvable interacting fermion models in one dimension

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