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

Abstract EN

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.