泡利哈密顿量的规范对称性破缺和拓扑量子化
Gauge symmetry breaking and topological quantization for the Pauli Hamiltonian
摘要：
我们讨论了泡利哈密顿在${SU(2)}$规范理论解释，其中的规范对称性被打破。这种解释直接适用于半导体中的结构反转非对称自旋轨道相互作用，并为凝聚态环境中的自旋流问题提供了新的见解。中心的结果是，对称性破缺导致零自旋电导率的预测规范对称治疗相反。计算平移算子的交换关系，包括最简单的可能的结构反演由于外部电场的不对称性，我们推导出一个新的条件的轨道量子化。这种效应的拓扑性质与我们提出的非阿贝尔规范对称性破缺情形是一致的。
英文摘要：
We discuss the Pauli Hamiltonian within a ${SU(2)}$ gauge theory interpretation, where the gauge symmetry is broken. This interpretation carries directly over to the structural inversion asymmetric spin-orbit interactions in semiconductors and offers new insight into the problem of spin currents in the condensed matter environment. The central results is that symmetry breaking leads to zero spin conductivity in contrast to predictions of Gauge symmetric treatments. Computing the translation operator commutation relations comprising the simplest possible structural inversion asymmetry due to an external electric field, we derive a new condition for orbit quantization. The relation between the topological nature of this effect is consistent with our non-Abelian gauge symmetry breaking scenario.
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