Anisotropic Migdal-Eliashberg theory using Wannier functions
By Elena R. Margine, Feliciano Giustino. 2012
264 citations recorded by the source corpus.
We combine the fully anisotropic Migdal-Eliashberg theory with electron-phonon interpolation based on maximally-localized Wannier functions, in order to perform reliable and highly accurate calculations of the anisotropic temperature-dependent superconducting gap and critical temperature of conventional superconductors. Compared with the widely used McMillan approximation, our methodology yields a more comprehensive and detailed description of superconducting properties, and is especially relevant for the study of layered or low-dimensional systems as well as systems with complex Fermi surfaces. In order to validate our method we perform calculations on two prototypical superconductors, Pb and MgB$_2$, and obtain good agreement with previous studies.
Subfields: Condensed Matter Physics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/f863ce3118f32249ee294fd15e4c61be7aace021
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In Condensed Matter Physics
- Feliciano Giustino
- Samuel Ponc'e
- Carla Verdi
- J. A. Flores-Livas
- A. Sanna
- Elena R. Margine
- Ryotaro Arita
- L. Boeri
In Materials Chemistry
- Feliciano Giustino
- Samuel Ponc'e
- Carla Verdi
- A. Sanna
- J. A. Flores-Livas
- Elena R. Margine
- G. Profeta
Citations in the corpus
- EPW: Electron-phonon coupling, transport and superconducting properties using maximally localized Wannier functions (2016, methodology): “[59] and includes some additional results.”
- A perspective on conventional high-temperature superconductors at high pressure: Methods and materials (2019, methodology): “The first approximation has been extensively used by Giustino and coworkers to develop an anisotropic Éliashberg approach [192].”
- Electron-phonon interactions from first principles (2016, background): “[245], copyright (2013) by the American Physical Society.”