Comment on "Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors" by M.N. Serbyn, M.A. Skvortsov, A.A. Varlamov, and V. Galitski

TL;DR

This paper critically examines and disputes recent claims about giant thermomagnetic effects in superconductors, highlighting errors in previous calculations and emphasizing the importance of correct theoretical approaches.

Contribution

The authors provide a detailed critique of recent theoretical results, correcting misconceptions and clarifying the proper calculation methods for thermomagnetic effects in superconductors.

Findings

Disputes the necessity of magnetization current corrections in linear response calculations.

Argues that the giant effects are due to zero-order particle-hole asymmetry, not physical phenomena.

Identifies contradictions in the Einstein-type relation derived in the criticized work.

Abstract

In a recent Letter, Serbyn et al. [A] investigated thermomagnetic effects above the superconducting transition and generalized previous works for arbitrary magnetic fields and temperatures. While the results of [A] have been confirmed in [B], we have strong objections: (i) According to our results [C], the linear response calculation does not require any correction from the magnetization currents; (ii) The result of [A,B] is giant, because unlike the normal Fermi liquid, it is of zero order in the particle-hole asymmetry. Changing the interaction constant in the Cooper channel leads to ridiculously large results even for nonsuperconducting metals; (iii)Derived in [A] the Einstein-type relation for thermomagnetic coefficient contradicts to text-book results. [A] M.N. Serbyn, M.A. Skvortsov, A.A. Varlamov, V. Galitski, Phys. Rev. Lett. 102, 067001 (2009). [B] K. Michaeli and A.M. Finkel'stein, EPL 86, 27007 (2009). [C] A. Sergeev et al., Phys. Rev. B 77, 064501 (2008).