论文标题
st找电荷和自旋电流的公式
Středa formula for charge and spin currents
论文作者
论文摘要
我们考虑二维Bloch-Landau-Pauli Hamiltonian，用于恒定的磁场中的稀释电子，受周期性背景潜力。假设旋转操作员的$ z $ - 组件是保守的，则我们计算磁场相关的旋转密度对磁场的微小变化的线性响应，并用自旋霍尔电导率识别。这种响应的形式是旋转的Chern标记物的形式，该标记通常量化为半授课，在时间反向对称性的进一步假设下是在整数中。因此，我们的结果是对量子自旋效应的上下文对St场对众所周知的公式的概括，该公式是用于电荷运输的。
We consider a 2-dimensional Bloch--Landau--Pauli Hamiltonian for a spinful electron in a constant magnetic field subject to a periodic background potential. Assuming that the $z$-component of the spin operator is conserved, we compute the linear response of the associated spin density of states to a small change in the magnetic field, and identify it with the spin Hall conductivity. This response is in the form of a spin Chern marker, which is in general quantized to a half-integer, and to an integer under the further assumption of time-reversal symmetry. Our result is thus a generalization to the context of the quantum spin Hall effect to the well-known formula by Středa, which is formulated instead for charge transport.
