Thermomagnetic Effects in Vortex Liquid: Transport Entropy Revisited

TL;DR

This paper revises the understanding of transport entropy in vortex liquids, resolving a contradiction with the London postulate by identifying the entropy as that of the vortex cores, and explains experimental temperature dependence.

Contribution

It provides a new interpretation of transport entropy in vortex liquids, aligning theory with fundamental quantum principles and experimental observations.

Findings

Transport entropy is the thermodynamic entropy of vortex cores.

The revised theory matches the observed temperature dependence of S_d.

S_d peaks at about half the critical temperature T_c.

Abstract

Traditionally the Nernst and Ettingshausen effects in the vortex liquid are described in terms of the "transport entropy" of vortices, S_d. According to current theories, the main contribution to S_d is originated from the electromagnetic free energy, F^{em}, which includes kinetic and magnetic energy of superconducting currents circulating around vortex cores. However, this concept contradicts the London postulate, according to which a supercurrent consists of macroscopic number of particles in a single quantum state and does not transfer any entropy. Here we resolve this contradiction and show that the transport entropy is just ordinary thermodynamic entropy transferred by cores. Only in this form the theory becomes simultaneously consistent with the London postulate and the Onsager principle. The revised theory explains measured temperature dependence S_d. The linear increase of S_d at low temperatures is determined by the entropy of electrons in the core, then S_d reaches a maximum at roughly T_c/2 and then vanishes due to increase of the background entropy.