Spin-Hall effect in triplet chiral superconductors and graphene
Spin-Hall effect in triplet chiral superconductors and graphene
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三线态手性超导体和石墨烯中的自旋霍尔效应
DOI：
10.1103/physrevb.74.094505
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发表时间：
2006
影响因子：
3.7
通讯作者：
M. Maiti
中科院分区：
文献类型：
--
作者：
K. Sengupta;R. Roy;M. Maiti
我们研究了时间反演对称性（TRS）破缺系统中的自旋霍尔效应，如三重态手性超导体和TRS保持的系统，如石墨烯。对于手征三重态超导体，我们证明了边缘态携带一个量子化的自旋霍尔电流，响应于沿着$\mathbf{d}$矢量施加的塞曼磁场$B$[A]。J. Leggett，Rev. Mod. Phys. 47，331（1975）]，而$\mathbf{B}\ensuremath{\perp}\mathbf{d}$的边缘自旋流被凝聚屏蔽。我们还导出了手征三重态超导体中$\mathbf{B}$和$\mathbf{d}$任意相对取向的体自旋霍尔电流，并讨论了它与边自旋电流的关系.对于TRS不变系统石墨烯，我们表明，体有效作用，不像它的TRS破碎的同行，不支持SU（2）的霍普夫项，但允许在存在一个外部电磁场的交叉霍普夫项，这产生一个量子化的体自旋霍尔电流响应电场。我们还提出了一个分析解决方案的边缘问题的扶手椅边缘的石墨烯和对比这些边缘状态的性质与它们的时间反演的手性超导体的破缺对应物。我们提出了可能的实验来测试我们的结果。
We study spin-Hall effects in time-reversal-symmetry- (TRS-) broken systems such as triplet chiral superconductors and TRS-preserved ones such as graphene. For chiral triplet superconductors, we show that the edge states carry a quantized spin-Hall current in response to an applied Zeeman magnetic field $B$ along the $\mathbf{d}$ vector [A. J. Leggett, Rev. Mod. Phys. 47, 331 (1975)], whereas the edge spin current for $\mathbf{B}\ensuremath{\perp}\mathbf{d}$ is screened by the condensate. We also derive the bulk spin-Hall current for chiral triplet superconductors for arbitrary relative orientation of $\mathbf{B}$ and $\mathbf{d}$ and discuss its relation with the edge spin current. For TRS-invariant system graphene, we show that the bulk effective action, unlike its TRS-broken counterparts, does not support a SU(2) Hopf term but allows a crossed Hopf term in the presence of an external electromagnetic field, which yields a quantized bulk spin-Hall current in response to an electric field. We also present an analytical solution of the edge problem for armchair edges of graphene and contrast the properties of these edge states with their time-reversal-symmetry-broken counterparts in chiral superconductors. We propose possible experiments to test our results.
影响因子：
8.6
作者：
Kane, CL;Mele, EJ
通讯作者：
Mele, EJ
影响因子：
56.9
作者：
Murakami, S;Nagaosa, N;Zhang, SC
通讯作者：
Zhang, SC
影响因子：
8.6
作者：
Sinova, J;Culcer, D;MacDonald, AH
通讯作者：
MacDonald, AH