Surface transport coefficients for three-dimensional topological superconductors

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Abstract

We argue that surface spin and thermal conductivities of three-dimensional topological superconductors are universal and topologically quantized at low temperature. For a bulk winding number ν, there are |ν| "colors" of surface Majorana fermions. Localization corrections to surface transport coefficients vanish due to time-reversal symmetry (TRS). We argue that Altshuler-Aronov interaction corrections vanish because TRS forbids color or spin Friedel oscillations. We confirm this within a perturbative expansion in the interactions, and to lowest order in a large-|ν| expansion. In both cases, we employ an asymptotically exact treatment of quenched disorder effects that exploits the chiral character unique to two-dimensional, time-reversal-invariant Majorana surface states.

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Xie, H. Y., Chou, Y. Z., & Foster, M. S. (2015). Surface transport coefficients for three-dimensional topological superconductors. Physical Review B - Condensed Matter and Materials Physics, 91(2). https://doi.org/10.1103/PhysRevB.91.024203

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