Topological superconductivity induced by a Kitaev spin liquid

We study the effective low-energy fermionic theory of the Kondo-Kitaev modelto leading order in the Kondo coupling. Our main goal is to understand thenature of the superconducting instability induced in the proximate metal due toits coupling to spin fluctuations of the spin liquid. The special combinationof the low-energy modes of a graphene-like metal and the form of theinteraction induced by the Majorana excitations of the spin liquid furnishchiral superconducting order with $p_x + \mathrm{i} p_y$ symmetry. Computingits response to a $\mathrm{U}(1)$ gauge field moreover shows that thissuperconducting state is topologically non-trivial, characterized by a firstChern number of $\pm 2$.