Rights statement: 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
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Reprint of : Effect of a tunnel barrier on the scattering from a Majorana bound state in an Andreev billiard
AU - Marciani, Marco
AU - Schomerus, Henning Ulrich
AU - Beenakker, C. W. J.
N1 - 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
PY - 2016/8
Y1 - 2016/8
N2 - 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.
AB - 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.
U2 - 10.1016/j.physe.2016.02.020
DO - 10.1016/j.physe.2016.02.020
M3 - Journal article
VL - 82
SP - 106
EP - 116
JO - Physica E: Low-dimensional Systems and Nanostructures
JF - Physica E: Low-dimensional Systems and Nanostructures
SN - 1386-9477
ER -