Time-delay matrix, midgap spectral peak, and thermopower of an Andreev billiard
M. Marciani, P. W. Brouwer, C. W. J. Beenakker
DOI 10.1103/PhysRevB.90.045403 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We derive the statistics of the time-delay matrix (energy derivative of the scattering matrix) in an ensemble of superconducting quantum dots with chaotic scattering (Andreev billiards), coupled ballistically to M conducting modes (electron-hole modes in a normal metal or Majorana edge modes in a superconductor). As a first application we calculate the density of states ρ0 at the Fermi level. The ensemble average 〈ρ0〉=δ0−1M[max(0,M+2α/β)]−1 deviates from the bulk value 1/δ0 by an amount depending on the Altland-Zirnbauer symmetry indices α,β. The divergent average for M=1,2 in symmetry class D (α=−1, β=1) originates from the midgap spectral peak of a closed quantum dot, but now no longer depends on the presence or absence of a Majorana zero mode. As a second application we calculate the probability distribution of the thermopower, contrasting the difference for paired and unpaired Majorana edge modes.
Similar papers
Random-matrix theory of Majorana fermions and topological superconductors
similarity 0.87C. W. J. Beenakker · 2014 · arXiv:1407.2131
Source status unknown — claims are unverified
Order, disorder and tunable gaps in the spectrum of Andreev bound states in a multi-terminal superconducting device
similarity 0.86Yokoyama, Tomohiro et al. · 2017 · arXiv:1609.05455
Source status unknown — claims are unverified
Effect of spin-orbit coupling on the excitation spectrum of Andreev billiards
similarity 0.86B. Béri et al.
Source status unknown — claims are unverified
Effect of a tunnel barrier on the scattering from a Majorana bound state in an Andreev billiard
similarity 0.86M. Marciani et al. · 2015 · arXiv:1506.05995
Source status unknown — claims are unverified
Quantal Andreev billiards: Semiclassical approach to mesoscale oscillations in the density of states
similarity 0.85Inanc Adagideli & Paul M. Goldbart · 2001 · arXiv:cond-mat/0108102
Source status unknown — claims are unverified
Majorana tunneling entropy
similarity 0.84Sergey Smirnov · 2015 · arXiv:1507.00278
Source status unknown — claims are unverified