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Realization of Haldane's Exclusion Statistics in a Model of Electron-Phonon Interactions | | Catherine Pépin
; Alexei M. Tsvelik
; | | Date: |
30 Nov 1998 | | Subject: | Strongly Correlated Electrons | cond-mat.str-el | | 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. | | Source: | arXiv, cond-mat/9811415 | | Services: | Forum | Review | PDF | Favorites | |
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