2020年10月8日
Efficient ab initio Migdal-Eliashberg calculation considering the retardation effect in phonon-mediated superconductors
Physical Review B
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- 記述言語
- 掲載種別
- 研究論文（学術雑誌）
- DOI
- 10.1103/PhysRevB.102.134503
We formulate an efficient scheme to perform 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 et
al., Phys. Rev. B 96, 035147 (2017)] dramatically reduces the numerical cost to
solve the linearized gap equation. Without introducing any empirical parameter,
we demonstrate that we can successfully reproduce the experimental
superconducting transition temperature of elemental Nb ($\sim 10$ K) very
accurately. The present result indicates that our approach has a superior
performance for many superconductors for which $T_{\rm c}$ is lower than
${\mathcal O}(10)$ K
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 et
al., Phys. Rev. B 96, 035147 (2017)] dramatically reduces the numerical cost to
solve the linearized gap equation. Without introducing any empirical parameter,
we demonstrate that we can successfully reproduce the experimental
superconducting transition temperature of elemental Nb ($\sim 10$ K) very
accurately. The present result indicates that our approach has a superior
performance for many superconductors for which $T_{\rm c}$ is lower than
${\mathcal O}(10)$ K
- リンク情報
- ID情報
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- DOI : 10.1103/PhysRevB.102.134503
- ORCIDのPut Code : 81669779
- arXiv ID : arXiv:2004.08591