English

Renormalization-group approach to superconductivity: from weak to strong electron-phonon coupling

Superconductivity 2007-10-30 v1 Strongly Correlated Electrons

Abstract

We present the numerical solution of the renormalization group (RG) equations derived in Ref. [1], for the problem of superconductivity in the presence of both electron-electron and electron-phonon coupling at zero temperature. We study the instability of a Fermi liquid to a superconductor and the RG flow of the couplings in presence of retardation effects and the crossover from weak to strong coupling. We show that our numerical results provide an ansatz for the analytic solution of the problem in the asymptotic limits of weak and strong coupling.

Keywords

Cite

@article{arxiv.cond-mat/0505426,
  title  = {Renormalization-group approach to superconductivity: from weak to strong electron-phonon coupling},
  author = {S. -W. Tsai and A. H. Castro Neto and R. Shankar and D. K. Campbell},
  journal= {arXiv preprint arXiv:cond-mat/0505426},
  year   = {2007}
}

Comments

8 pages, 3 figures, conference proceedings for the Electron Correlations and Materials Properties, in Kos, Greece, July 5-9, 2004

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