论文标题
重新归一化的形式,用于使用内部对方动力学的超导相变
Renormalization formalism for superconducting phase transition with inner-Cooper-pair dynamics
论文作者
论文摘要
作为宏观超导性的电荷载体,库珀对是两个配对电子的复合粒子,该颗粒具有质量中心和内对自由度。在大多数情况下,宏观的金茨堡 - 兰道理论和微观bardeen-cooper-schrieffer(BCS)理论可以很好地描述这两个不同的自由度。在超导相变的近距离相传中,库珀对由于具有较小的结合能而脆弱且不稳定,因此由于有限能量和/或动量传递等这两个不同的自由度之间存在非平凡的耦合。非平凡的耦合使BCS理论的Ginzburg-Landau理论的原始推导原则上失败了,因为这两个不同的自由度不应解耦。在本文中,我们将提出一种重新归一化的形式主义,用于扩展的金茨堡 - 兰道行动,用于超导相变的超导相变,其中质量中心与库珀对的内心对之间存在有限的能量转移。这种翻新的形式主义将提供一种理论工具,以研究内对延迟物理学对超导相变的异常动力学影响。
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.