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arxiv: 1405.7730 · v3 · pith:FXAZIIVLnew · submitted 2014-05-29 · ❄️ cond-mat.mes-hall · cond-mat.str-el· cond-mat.supr-con

Surface transport coefficients for three-dimensional topological superconductors

classification ❄️ cond-mat.mes-hall cond-mat.str-elcond-mat.supr-con
keywords surfacearguecoefficientscorrectionsexpansionmajoranaspinsuperconductors
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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 $\nu$, there are $|\nu|$ "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-$|\nu|$ 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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