Universal bound to the amplitude of the vortex Nernst signal in superconductors

Abstract

A liquid of superconducting vortices generates a transverse thermoelectric response. This Nernst signal has a tail deep in the normal state due to superconducting fluctuations. Here, we present a study of the Nernst effect in two-dimensional hetero-structures of Nb-doped strontium titanate and in amorphous MoGe. The Nernst signal generated by ephemeral Cooper pairs above the critical temperature has the magnitude expected by theory. On the other hand, the peak amplitude of the vortex Nernst signal below Tc is unexpectedly comparable (≈ 0.1 kB/e) in both. We show that this is also the case of all superconductors hitherto explored, in spite of the variety of their critical temperatures (distributed over three orders of magnitude). This upper boundary to the Nernst response implies a lower boundary to the ratio of viscosity to entropy density of vortex liquids.