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- W2018568508 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 $rho_0$ at the Fermi level. The ensemble average $langlerho_0rangle=delta_0^{-1}M[max(0,M+2alpha/beta)]^{-1}$ deviates from the bulk value $1/delta_0$ by an amount depending on the Altland-Zirnbauer symmetry indices $alpha,beta$. The divergent average for $M=1,2$ in symmetry class D ($alpha=-1$, $beta=1$) originates from the mid-gap 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." @default.
- W2018568508 created "2016-06-24" @default.
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- W2018568508 date "2014-07-09" @default.
- W2018568508 modified "2023-10-18" @default.
- W2018568508 title "Time-delay matrix, midgap spectral peak, and thermopower of an Andreev billiard" @default.
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- W2018568508 doi "https://doi.org/10.1103/physrevb.90.045403" @default.
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