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arXiv 0902.0042cond-mat.supr-concond-mat.mtrl-sci
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超导体中平衡超电流的Hall系数

Hall Coefficient of Equilibrium Supercurrents Flowing inside Superconductors

Takafumi Kita

摘要:

我们研究了在标准的Ginzburg-Landau方程和Eilenberger方程中缺少的含洛伦兹力的超导增广准经典方程。结果表明,平衡超电流上的磁洛仑兹力诱导出有限的电荷分布和平衡洛伦兹力的电场。同时考虑费米面各向异性和带隙各向异性,得到了洁净II型超导体相应霍尔系数的解析表达式。它在零温度下具有与任意配对的正常状态相同的符号和幅度,对于s波配对没有特别的温度依赖性。间隙各向异性可能带来相当大的温度依赖性的霍尔系数,并可能导致其作为温度的函数的符号变化,作为示例的模型d-波配对与二维费米表面。在某些高$T_{c}$超导体中可以观察到这种符号变化。

英文摘要:

We study augmented quasiclassical equations of superconductivity with the Lorentz force, which is missing from the standard Ginzburg-Landau and Eilenberger equations. It is shown that the magnetic Lorentz force on equilibrium supercurrents induces finite charge distribution and the resulting electric field to balance the Lorentz force. An analytic expression is obtained for the corresponding Hall coefficient of clean type-II superconductors with simultaneously incorporating the Fermi-surface and gap anisotropies. It has the same sign and magnitude at zero temperature as the normal state for an arbitrary pairing, having no temperature dependence specifically for the s-wave pairing. The gap anisotropy may bring a considerable temperature dependence in the Hall coefficient and can lead to its sign change as a function of temperature, as exemplified for a model d-wave pairing with a two-dimensional Fermi surface. The sign change may be observed in some high-$T_{c}$ superconductors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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