English

The BCS critical temperature in a weak external electric field via a linear two-body operator

Mathematical Physics 2018-09-25 v1 math.MP

Abstract

We study the critical temperature of a superconductive material in a weak external electric potential via a linear approximation of the BCS functional. We reproduce a similar result as in [Frank, Hainzl, Seiringer, Solovej, 2016] using the strategy introduced in [Frank, Hainzl, Langmann, 2018], where we considered the case of an external constant magnetic field.

Keywords

Cite

@article{arxiv.1809.08667,
  title  = {The BCS critical temperature in a weak external electric field via a linear two-body operator},
  author = {Rupert L. Frank and Christian Hainzl},
  journal= {arXiv preprint arXiv:1809.08667},
  year   = {2018}
}

Comments

Dedicated to Herbert Spohn on the occasion of his seventieth birthday; 29 pages