Gradhand Martin, Annett James F
H H Wills Physics Laboratory, University of Bristol, Tyndall Avenue, BS8 1TL, UK.
J Phys Condens Matter. 2014 Jul 9;26(27):274205. doi: 10.1088/0953-8984/26/27/274205. Epub 2014 Jun 17.
We will extend the concept of electron band Berry curvatures to superconducting materials. We show that this can be defined for the Bogoliubov-de Gennes equation describing the superconducting state in a periodic crystal. In addition, the concept is exploited to understand the driving mechanism for the optical Kerr effect in time reversal symmetry breaking superconductors. Finally, we establish a sum rule analogue to the normal state Hall sum rule making quantitative contact between the imaginary part of the optical conductivity and the Berry curvature. The general theory will be applied and tested against the drosophila of the p-wave paired materials Sr2RuO4.
我们将把电子能带贝里曲率的概念扩展到超导材料。我们表明，这可以针对描述周期性晶体中超导态的博戈留波夫 - 德热纳方程来定义。此外，利用这一概念来理解时间反演对称性破缺超导体中光学克尔效应的驱动机制。最后，我们建立了一个类似于正常态霍尔求和规则的求和规则，使光导率的虚部与贝里曲率建立定量联系。该通用理论将应用于p波配对材料Sr2RuO4并进行验证。
