Effects of the Vertex Correction by the Method of Nambu to the Eliashberg-Migdal Equation in the Strong Coupling Superconductivity under the Ultra-High Magnetic Field

概要

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Beyond Migdal's theorem, the theoretical study on the strong coupling superconductivity under the quantizing magnetic field in the system of isotropic 3-dimensional electron gas is reported. The vertex correction is taken into account to the formulation, previously developed by the present authors in the expression of Dyson-Eliashberg theory, which appears in J. Phys. Soc. Jpn. 63 (1994) 1465. Under the condition that Ward-Takahashi identity is exactly satisfied, the set of equations including the vertex correction up to infinite order is proposed in the context of the theoretical investigation by Nambu in Phys. Rev. 117 (1960) 648. Numerical results for demanded strength of the field H for the given concentration of the electron density N are presented in relation with the investigation of the problem of how the Nambu-Goldstone mode appears. The possibility of new superconducting phase under the ultra-high field is also discussed.
社団法人日本物理学会の論文
1995-08-15