Realization of Haldane's Exclusion Statistics in a Model of Electron-Phonon Interactions
Strongly Correlated Electrons
2009-10-31 v1
Abstract
We discuss an integrable model describing one-dimensional electrons interacting with two-dimensional anharmonic phonons. In the low temperature limit it is possible to decouple phonons and consider one-dimensional excitations separately. They have a trivial two-body scattering matrix and obey fractional statistics. As far as we know the original model presents the first example of a model with local bare interactions generating purely statistical interactions between renormalized particles. As a by-product we obtain non-trivial thermodynamic equations for the interacting system of two-dimensional phonons.
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Cite
@article{arxiv.cond-mat/9811415,
title = {Realization of Haldane's Exclusion Statistics in a Model of Electron-Phonon Interactions},
author = {Catherine Pépin and Alexei M. Tsvelik},
journal= {arXiv preprint arXiv:cond-mat/9811415},
year = {2009}
}
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4 pages