Effect of charge renormalization on the electric and thermoelectric transport along the vortex lattice of a Weyl superconductor

Building on the discovery that a Weyl superconductor in a magnetic field supports chiral Landau-level motion along the vortex lines, we investigate its transport properties out of equilibrium. We show that the vortex lattice carries an electric current I = 1/2(Q(eff)(2)/h)(Phi/Phi(0))V between two normal-metal contacts at voltage difference V, with Phi the magnetic flux through the system, Phi(0) the superconducting flux quantum, and Q(eff) < e the renormalized charge of the Weyl fermions in the superconducting Landau level. Because the charge renormalization is energy dependent, a nonzero thermoelectric coefficient appears even in the absence of energy-dependent scattering processes.