Ab initio theory of superconductivity in a magnetic field. I. Spin density functional theory for superconductors and Eliashberg equations

A. Linscheid*, A. Sanna, F. Essenberger, E. K.U. Gross

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

We present a first-principles approach to describe magnetic and superconducting systems and the phenomena of competition between these electronic effects. We develop a density functional theory SpinSCDFT by extending the Hohenberg-Kohn theorem and constructing the noninteracting Kohn-Sham system. An exchange-correlation functional for SpinSCDFT is derived from the Sham-Schlüter connection between the SpinSCDFT Kohn-Sham and a self-energy in Eliashberg approximation. The reference Eliashberg equations for superconductors in the presence of magnetism are also derived and discussed.

Original languageAmerican English
Article number024505
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume92
Issue number2
DOIs
StatePublished - 8 Jul 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.

Keywords

  • 74.20.-z
  • 74.25.Ha
  • 74.25.Op
  • 74.90.+n

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