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We have studied the longitudinal thermal conductivity of the surface of athree-dimensional time-reversal symmetric topological superconductor withrandom disorder. Majorana fermions on the surface of topologicalsuperconductors have a response to the gravitational field, which is realizedas a thermal response to the temperature gradient inside of the material.Because of the presence of both time-reversal symmetry and particle-holesymmetry, disorder on the surface emerges in the Hamiltonian only as spatialdeformations of the pair potential. In terms of the gravitational field, thedisorder results in spatial fluctuations of the metric. We consider disordereffects on the thermal conductivity perturbatively within the self-consistentBorn approximation. The density of states is calculated with the Green'sfunction technique and the thermal conductivity of the surface modes is derivedthrough the electronic conductivity using Wiedemann-Franz law for the Majoranafermions.

Disorder effects on thermal transport on the surface of topological superconductors by the self-consistent Born approximation