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- W2006346437 abstract "In many of the experimental systems that may host Majorana zero modes, a so-called chiral symmetry exists that protects overlapping zero modes from splitting up. This symmetry is operative in a superconducting nanowire that is narrower than the spin-orbit scattering length, and at the Dirac point of a superconductor/topological insulator heterostructure. Here we show that chiral symmetry strongly modifies the dynamical and spectral properties of a chaotic scatterer, even if it binds only a single zero mode. These properties are quantified by the Wigner-Smith time-delay matrix $Q=-ihbar S^dagger dS/dE$, the Hermitian energy derivative of the scattering matrix, related to the density of states by $rho=(2pihbar)^{-1},{rm Tr},Q$. We compute the probability distribution of $Q$ and $rho$, dependent on the number $nu$ of Majorana zero modes, in the chiral ensembles of random-matrix theory. Chiral symmetry is essential for a significant $nu$-dependence." @default.
- W2006346437 created "2016-06-24" @default.
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- W2006346437 date "2015-04-23" @default.
- W2006346437 modified "2023-09-24" @default.
- W2006346437 title "Effect of Chiral Symmetry on Chaotic Scattering from Majorana Zero Modes" @default.
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- W2006346437 doi "https://doi.org/10.1103/physrevlett.114.166803" @default.
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