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arXiv · 1707.03192

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

Christophe Chatelain
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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 $\mu$ to the two baths. While a regime of linear characteristics J versus $\Delta$$\mu$ 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.

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Christophe Chatelain. 2017-07-11. Diverging conductance at the contact between random and pure quantum XX spin chains. https://doi.org/10.1088/1742-5468/aa933f

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