One-Dimensional XXZ Model for Particles Obeying Fractional Statistics

Details One-Dimensional XXZ Model for Particles Obeying Fractional Statistics One-Dimensional XXZ Model for Particles Obeying Fractional Statistics

1998-03-06

arxiv.org/abs/cond-mat/9803074v3

Phys. Rev. B, Vol 58, 1703 R (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.58.R1703

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.

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