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

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  • Oscar Bohórquez
  • A. M. S. Macêdo

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.

Suggested Citation

  • Oscar Bohórquez & A. M. S. Macêdo, 2018. "Heat Transport and Majorana Fermions in a Superconducting Dot-Wire System: An Exact Solution," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-11, December.
    • Handle: RePEc:hin:jnlamp:4016394
    DOI: 10.1155/2018/4016394
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