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Gap Anisotropy in Multiband Superconductors Based on Multiple Scattering Theory

Research output: Contribution to journalArticle

Original languageEnglish
Article number064510
Pages (from-to)1-9
JournalPhysical Review B
Issue number6
DateAccepted/In press - 30 Jan 2020
DatePublished (current) - 18 Feb 2020


We implement the Bogoliubov-de Gennes (BdG) equation in a screened Korringa-Kohn-Rostoker (KKR) method for solving, self-consistently, the superconducting state for 3d crystals. This method combines the full complexity of the underlying electronic structure and Fermi surface geometry with a simple phenomenological parametrisation for the superconductivity. We apply this theoretical framework to the known s-wave superconductors Nb, Pb, and MgB$_2$. In these materials multiple distinct peaks at the gap in the density of states were observed, showing significant gap anisotropy which is in good agreement with experiment. Qualitatively, the results can be explained in terms of the k-dependent Fermi velocities on the Fermi surface sheets exploiting concepts from BCS theory.

    Research areas

  • cond-mat.supr-con, Fermi surface, Multiband superconductivity, Ab initio calculations, Bogoliubov-de Gennes equations, Korringa-Khon-Rostoker method

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    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via American Physical Society at . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 7.3 MB, PDF document


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