论文标题
非平衡的超级场和格子Weyl变换传输方法量子响应量
Nonequilibrium superfield and lattice Weyl transform transport approach to quantum Hall effect
论文作者
论文摘要
我们使用Buot的超级场和晶格Weyl转换非平衡量子传输形式形式，从而得出了电导率的整数量子响应效应的拓扑Chern数。该方法是天然直接的，适合处理外部电磁场作用的非平衡系统。我们已经通过非量子量子传输方程确定了有效（〜p; 〜q; e; t）相空间中的拓扑不变，通常不是在电场中的一阶，而是梯度扩展中的一阶。我们还推导了Hall电流的Kubo电流相关性，作为我们新运输方法的副产品。还计算了与轨道磁矩相关的浆果曲率。
We derive the topological Chern number of the integer quantum Hall effect in electrical conductivity, using Buot's superfield and lattice Weyl transform nonequilibrium quantum transport formalism. The method is naturally straightforward, appropriate for treating nonequilibrium systems acted on by external electromagnetic fields. We have identified the topological invariant in the effective (~p; ~q; E; t)-phase space via the nonequilibrium quantum transport equation, generally not to first-order in electric field but to first-order in the gradient expansion. We have also derive the Kubo current-current correlation for the Hall current as a by-product of our new transport approach. The Berry curvature related to orbital magnetic moment is also calculated.
