Gauge invariance and Hall terms in the quasiclassical equations of superconductivity
Gauge invariance and Hall terms in the quasiclassical equations of superconductivity
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DOI：
10.1103/physrevb.64.054503
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发表时间：
2001-03
影响因子：
3.7
通讯作者：
T. Kita
中科院分区：
文献类型：
--
作者：
T. Kita
本文提出了一个仔细的准经典超导方程的推导，使一个明显的规范不变性保留相对于准经典绿色的功能$\hat{g}$的时空参数。负责霍尔效应的术语自然从推导中出现。该方程适用于清洁以及肮脏的超导体的任意外部频率远小于费米能量。因此，它们将为II型超导体中霍尔效应的完整微观理解奠定基础。
This paper presents a careful derivation of the quasiclassical equations of superconductivity so that a manifest gauge invariance is retained with respect to the space-time arguments of the quasiclassical Green's function $\hat{g}$. The terms responsible for the Hall effect naturally appear from the derivation. The equations are applicable to clean as well as dirty superconductors for an arbitrary external frequency much smaller than the Fermi energy. Thus, they will form a basis toward a complete microscopic understanding of the Hall effect in type-II superconductors.