Two-Particle Collisional Coordinate Shifts and Hydrodynamic Anomalous Hall Effect in Systems without Lorentz Invariance
Two-Particle Collisional Coordinate Shifts and Hydrodynamic Anomalous Hall Effect in Systems without Lorentz Invariance
复制标题
无洛伦兹不变性系统中的两粒子碰撞坐标移动和流体动力学反常霍尔效应
DOI：
10.1103/physrevlett.121.226601
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发表时间：
2018
影响因子：
8.6
通讯作者：
Pesin, D. A.
中科院分区：
文献类型：
--
作者：
Pesin, D. A.
我们证明，在晶体中经历两粒子碰撞的电子会经历取决于其单粒子布洛赫波函数的坐标偏移，并导出这种偏移的规范不变表达式，该表达式对于任意能带结构和任意两粒子相互作用势均有效。作为该理论的应用，我们考虑三个空间维度中外尔费米子的两粒子坐标位移。我们证明，这种变化通常会导致清洁电子液体的异常霍尔电导率。
We show that electrons undergoing a two-particle collision in a crystal experience a coordinate shift that depends on their single-particle Bloch wave functions and derive a gauge-invariant expression for such a shift, valid for arbitrary band structures and arbitrary two-particle interaction potentials. As an application of the theory, we consider two-particle coordinate shifts for Weyl fermions in space of three spatial dimensions. We demonstrate that such shifts in general contribute to the anomalous Hall conductivity of a clean electron liquid.