Heat Transport and Majorana Fermions in a Superconducting Dot-Wire System: An Exact Solution

Oscar Bohórquez and A. M. S. Macêdo

Advances in Mathematical Physics, 2018, vol. 2018, 1-11

Abstract:

We obtain exact expressions for the first three moments of the heat conductance of a quantum chain that crosses over from a superconducting quantum dot to a superconducting disordered quantum wire. Our analytic solution provides exact detailed descriptions of all crossovers that can be observed in the system as a function of its length, which include ballistic-metallic and metallic-insulating crossovers. The two Bogoliubov-de Gennes (BdG) symmetry classes with time-reversal symmetry are accounted for. The striking effect of total suppression of the insulating regime in systems with broken spin-rotation invariance is observed at large length scales. For a single channel system, this anomalous effect can be interpreted as a signature of the presence of the elusive Majorana fermion in a condensed matter system.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4016394

DOI: 10.1155/2018/4016394

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