Renormalization formalism for superconducting phase transition with inner-Cooper-pair dynamics
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Published:2023-07-20
Issue:8
Volume:98
Page:085939
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ISSN:0031-8949
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Container-title:Physica Scripta
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language:
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Short-container-title:Phys. Scr.
Author:
Su YuehuaORCID,
Wu Hongyun,
Cao Kun,
Zhang ChaoORCID
Abstract
Abstract
As charge carrier of the macroscopic superconductivity, the Cooper pair is a composite particle of two paired electrons, which has both center-of-mass and inner-pair degrees of freedom. In most cases, these two different degrees of freedom can be well described by the macroscopic Ginzburg-Landau theory and the microscopic Bardeen-Cooper-Schrieffer (BCS) theory, respectively. Near the superconducting phase transition where the Cooper pair is fragile and unstable because of the small binding energy, there are non-trivial couplings between these two different degrees of freedom due to such as finite energy and/or momentum transfer. The non-trivial couplings make the original derivation of the Ginzburg-Landau theory from the BCS theory fail in principle as where these two different degrees of freedom should not be decoupled. In this article, we will present a renormalization formalism for an extended Ginzburg-Landau action for the superconducting phase transition where there is finite energy transfer between the center-of-mass and the inner-pair degrees of freedom of Cooper pairs. This renormalization formalism will provide a theoretical tool to study the unusual dynamical effects of the inner-pair time-retarded physics on the superconducting phase transition.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shandong Province
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics
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