Anisotropic Eliashberg theory and the two-band model for the superconducting properties of MgB2

Hyoung Joon Choi, Marvin L. Cohen, Steven G. Louie

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We present a framework for the anisotropic Eliashberg theory for the superconducting properties of MgB2 and reduce the framework to a zeroth-order two-band model by neglecting the variation of the electron-phonon interaction within the σ and π sheets, of the Fermi surface. We then derive a second-order-corrected two-band model using a systematic expansion of the theory with respect to the intrasheet variation of the electron-phonon interaction. Our results show that the zeroth-order two-band model reproduces successfully the results of the anisotropic Eliashberg theory with fairly small errors and that, with the second-order corrections, the model coincides with the full theory. The second-order-corrected two-band model reproduces not only the intersheet but also the intrasheet variation of the superconducting energy gap on the Fermi surface.

Original languageEnglish
Article number104520
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number10
Publication statusPublished - 2006 Apr 7


All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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