English

Renormalization group approach to layered superconductors

supr-con 2009-10-28 v1 Superconductivity

Abstract

A renormalization group theory for a system consisting of coupled superconducting layers as a model for typical high-temperature superconducters is developed. In a first step the electromagnetic interaction over infinitely many layers is taken into account, but the Josephson coupling is neglected. In this case the corrections to two-dimensional behavior due to the presence of the other layers are very small. Next, renormalization group equations for a layered system with very strong Josephson coupling are derived, taking into account only the smallest possible Josephson vortex loops. The applicability of these two limiting cases to typical high-temperature superconductors is discussed. Finally, it is argued that the original renormalization group approach by Kosterlitz is not applicable to a layered system with intermediate Josephson coupling.

Keywords

Cite

@article{arxiv.supr-con/9507002,
  title  = {Renormalization group approach to layered superconductors},
  author = {Carsten Timm},
  journal= {arXiv preprint arXiv:supr-con/9507002},
  year   = {2009}
}

Comments

RevTeX, 15 pages, 4 figures can be obtained from the author by conventional mail; accepted for publication in Phys. Rev. B

R2 v1 2026-07-22T20:09:22.516Z