Diverging conductance at the contact between random and pure quantum XX spin chains

Abstract : A model consisting in two quantum XX spin chains, one homogeneous and the second with random couplings drawn from a binary distribution, is considered. The two chains are coupled to two different non-local thermal baths and their dynamics is governed by a Lindblad equation. In the steady state, a current J is induced between the two chains by coupling them together by their edges and imposing different chemical potentials µ to the two baths. While a regime of linear characteristics J versus ∆µ is observed in the absence of randomness, a gap opens as the disorder strength is increased. In the infinite-randomness limit, this behavior is related to the density of states of the localized states contributing to the current. The conductance is shown to diverge in this limit.
Type de document :
Pré-publication, Document de travail
15 pages, 18 figures. 2017
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https://hal.archives-ouvertes.fr/hal-01559725
Contributeur : Christophe Chatelain <>
Soumis le : lundi 10 juillet 2017 - 21:14:48
Dernière modification le : mercredi 12 juillet 2017 - 01:16:04

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  • HAL Id : hal-01559725, version 1
  • ARXIV : 1707.03192

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Christophe Chatelain. Diverging conductance at the contact between random and pure quantum XX spin chains. 15 pages, 18 figures. 2017. <hal-01559725>

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