Wiedemann-Franz-type relation between shot noise and thermal conduction of Majorana surface states in a three-dimensional topological superconductor
N. V. Gnezdilov, M. Diez, M. J. Pacholski, C. W. J. Beenakker
DOI 10.1103/PhysRevB.94.115415 · Physical Review B
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Abstract
We compare the thermal conductance Gthermal (at temperature T) and the electrical shot-noise power Pshot (at bias voltage V≫kBT/e) of Majorana fermions on the two-dimensional surface of a three-dimensional topological superconductor. We present analytical and numerical calculations to demonstrate that, for a local coupling between the superconductor and metal contacts, Gthermal/Pshot=LT/eV (with L the Lorenz number). This relation is ensured by the combination of electron-hole and time-reversal symmetries, irrespective of the microscopics of the surface Hamiltonian, and provides for a purely electrical way to detect the charge-neutral Majorana surface states. A surface of aspect ratio W/L≫1 has the universal shot-noise power Pshot=(W/L)×(e2/h)×(eV/2π).