English

Superconductivity from repulsive interaction

Superconductivity 2015-06-16 v3

Abstract

The BCS theory of superconductivity named electron-phonon interaction as a glue that overcomes Coulomb repulsion and binds fermions into pairs which then condense and superconduct. We review recent and not so recent works aiming to understand whether a nominally repulsive Coulomb interaction can by itself give rise to a superconductivity. We first discuss a generic scenario of the pairing by electron-electron interaction, put forward by Kohn and Luttinger back in 1965, and then turn to modern studies of the electronic mechanism of superconductivity in the lattice models for the cuprates, the Fe-pnictides, and the doped graphene. We show that the pairing in all three classes of materials can be viewed as lattice version of Kohn-Luttinger physics, despite that the pairing symmetries are different. We discuss under what conditions the pairing occurs and rationalize the need to do parquet renormalization-group analysis. We also discuss the interplay between superconductivity and density-instabilities.

Keywords

Cite

@article{arxiv.1305.4609,
  title  = {Superconductivity from repulsive interaction},
  author = {Saurabh Maiti and Andrey V. Chubukov},
  journal= {arXiv preprint arXiv:1305.4609},
  year   = {2015}
}

Comments

71 pages, To be published in "Proceedings of the XVII Training Course in the physics of Strongly Correlated Systems", Vietri sul Mare (Salerno), Italy. New references added, Typos corrected

R2 v1 2026-06-22T00:19:21.019Z