One-Dimensional XXZ Model for Particles Obeying Fractional Statistics
Strongly Correlated Electrons
2007-05-23 v3 Exactly Solvable and Integrable Systems
solv-int
Abstract
We define one-dimensional particles as non-abelian representations of the symmetric group . The exact solution of an 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.
Keywords
Cite
@article{arxiv.cond-mat/9803074,
title = {One-Dimensional XXZ Model for Particles Obeying Fractional Statistics},
author = {Luigi Amico and Andreas Osterloh and Ulrich Eckern},
journal= {arXiv preprint arXiv:cond-mat/9803074},
year = {2007}
}
Comments
4 pages revtex. Accepted for publication in PRB, Rapid Communication. Minor changes