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Cooper pairs and exclusion statistics from coupled free-fermion chains

Paul Fendley·Kareljan Schoutens
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Abstract

We show how to couple two free-fermion chains so that the excitations consist of Cooper pairs with zero energy, and free particles obeying (mutual) exclusion statistics. This behavior is reminiscent of anyonic superconductivity, and of a ferromagnetic version of the Haldane-Shastry spin chain, although here the interactions are local. We solve this model using the nested Bethe ansatz, and find all the eigenstates; the Cooper pairs correspond to exact-string or ``0/0'' solutions of the Bethe equations. We show how the model possesses an infinite-dimensional symmetry algebra, which is a supersymmetric version of the Yangian symmetry algebra for the Haldane-Shastry model.

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BibTeXRIS

Paul Fendley, Kareljan Schoutens. 2007-11-11. Cooper pairs and exclusion statistics from coupled free-fermion chains. https://doi.org/10.1088/1742-5468%2F2007%2F02%2Fp02017

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