Bulk angular momentum and Hall viscosity in chiral superconductors
Bulk angular momentum and Hall viscosity in chiral superconductors
复制标题
DOI：
10.1103/physrevb.90.134510
复制
发表时间：
2014-07
影响因子：
3.7
通讯作者：
A. Shitade;Taro Kimura
中科院分区：
文献类型：
--
作者：
A. Shitade;Taro Kimura
为了研究二维和三维的手性超导体，我们建立了角动量(AM)和霍尔粘性(HV)的Berry相公式。AM定义为绝热变形引起的反对称动量流的时间积分，而HV定义为对称扭转电场诱导的对称动量流。在不受系统大小和几何结构影响的情况下，我们得到了全禁带手性SCS在零温下的宏观AMLZ=hmN0=2，其中是磁量子数，N0是电子总数。我们还发现，无论是众所周知的全能隙手性SCs，还是在节点型手性SCs中，零温下的HV都等于AM的一半，但在有限温度下，这两种情况下的HV行为是不同的。
We establish the Berry-phase formulas for the angular momentum (AM) and the Hall viscosity (HV) to investigate chiral superconductors (SCs) in two and three dimensions. The AM is defined by the temporal integral of the anti-symmetric momentum current induced by an adiabatic deformation, while the HV is defined by the symmetric momentum current induced by the symmetric torsional electric field. Without suffering from the system size or geometry, we obtain the macroscopic AM Lz = hmN0=2 at zero temperature in full-gap chiral SCs, wherem is the magnetic quantum number andN0 is the total number of electrons. We also find that the HV is equal to half the AM at zero temperature not only in full-gap chiral SCs as is well-known but also in nodal ones, but its behavior at finite temperature is different from each other in the both cases.