Efficient ab initio Migdal-Eliashberg calculation considering the retardation effect in phonon-mediated superconductors

Tianchun Wang, Takuya Nomoto, Yusuke Nomura, Hiroshi Shinaoka, Junya Otsuki, Takashi Koretsune, Ryotaro Arita

Research output: Contribution to journalArticlepeer-review

Abstract

We formulate an efficient scheme to perform a Migdal-Eliashberg calculation considering the retardation effect from first principles. While the conventional approach requires a huge number of Matsubara frequencies, we show that the intermediate representation of the Green's function [H. Shinaoka, Phys. Rev. B 96, 035147 (2017)10.1103/PhysRevB.96.035147] dramatically reduces the numerical cost to solve the linearized gap equation. Without introducing any empirical parameter, we obtain a superconducting transition temperature of elemental Nb (∼10 K), which is consistent with experiment. The present result indicates that our approach has a superior performance for many superconductors for which Tc is lower than O(10) K.

Original languageEnglish
Article number134503
JournalPhysical Review B
Volume102
Issue number13
DOIs
Publication statusPublished - Oct 8 2020

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Efficient ab initio Migdal-Eliashberg calculation considering the retardation effect in phonon-mediated superconductors'. Together they form a unique fingerprint.

Cite this