English

Effective field theories for superconducting systems with multiple Fermi surfaces

High Energy Physics - Theory 2016-08-23 v2 Superconductivity

Abstract

In this work we investigate the description of superconducting systems with multiple Fermi surfaces. For the case of one Fermi surface we re-obtain the result that the superconductor is more precisely described as a topological state of matter. Studying the case of more than one Fermi surface, we obtain the effective theory describing a time reversal symmetric topological superconductor. These results are obtained by employing a general procedure to construct effective low energy actions describing states of electromagnetic systems interacting with charges and defects. The procedure consists in taking into account the proliferation or dilution of these charges and defects and its consequences for the low energy description of the electromagnetic response of the system. We find that the main ingredient entering the low energy characterization of the system with more the one Fermi surface is a non-conservation of the canonical supercurrent triggered by particular vortex configurations.

Keywords

Cite

@article{arxiv.1604.02886,
  title  = {Effective field theories for superconducting systems with multiple Fermi surfaces},
  author = {P. R. Braga and D. R. Granado and M. S. Guimaraes and C. Wotzasek},
  journal= {arXiv preprint arXiv:1604.02886},
  year   = {2016}
}

Comments

19 pages. Version accepted for publication in the Annals of Physics

R2 v1 2026-06-22T13:29:16.170Z