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
DOI 10.1103/PhysRevB.102.134503 · Physical Review B
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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 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 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.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Nb Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 10 | Pressure not reported | unknown |
| LaH10 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 200 | 250 GPa | unknown |
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