Reprint of : Effect of a tunnel barrier on the scattering from a Majorana bound state in an Andreev billiard

Marciani, Marco and Schomerus, Henning Ulrich and Beenakker, C. W. J. (2016) Reprint of : Effect of a tunnel barrier on the scattering from a Majorana bound state in an Andreev billiard. Physica E: Low-dimensional Systems and Nanostructures, 82. pp. 106-116. ISSN 1386-9477

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We calculate the joint distribution P(S,Q) of the scattering matrix S and time-delay matrix Q=−iℏS†dS/dE of a chaotic quantum dot coupled by point contacts to metal electrodes. While S and Q are statistically independent for ballistic coupling, they become correlated for tunnel coupling. We relate the ensemble averages of Q and S and thereby obtain the average density of states at the Fermi level. We apply this to a calculation of the effect of a tunnel barrier on the Majorana resonance in a topological superconductor. We find that the presence of a Majorana bound state is hidden in the density of states and in the thermal conductance if even a single scattering channel has unit tunnel probability. The electrical conductance remains sensitive to the appearance of a Majorana bound state, and we calculate the variation of the average conductance through a topological phase transition.

Item Type:
Journal Article
Journal or Publication Title:
Physica E: Low-dimensional Systems and Nanostructures
Additional Information:
This is the author’s version of a work that was accepted for publication in Physica E. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica E, 82, 2016 DOI: 10.1016/j.physe.2016.02.020
Uncontrolled Keywords:
?? atomic and molecular physics, and opticselectronic, optical and magnetic materialscondensed matter physics ??
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Deposited On:
22 Jun 2016 13:44
Last Modified:
15 Jul 2024 16:09