One-Dimensional XXZ Model for Particles Obeying Fractional Statistics
Luigi Amico, Andreas Osterloh, Ulrich Eckern
Abstract
We define one-dimensional particles as non-abelian representations of the symmetric group SN. 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.
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