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arXiv · 1503.00985

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
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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 non-interacting 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.

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A. Linscheid, A. Sanna, F. Essenberger, E. K. U. Gross. 2015-03-03. Ab Initio Theory of Superconductivity in a Magnetic Field I. : Spin Density Functional Theory For Superconductors and Eliashberg Equations. https://doi.org/10.1103/physrevb.92.024505

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