论文标题

分子浆果曲率和绝热响应张量

Molecular Berry curvatures and the adiabatic response tensors

论文作者

Resta, Raffaele

论文摘要

由于niu的理论,许多电子系统中的绝热运输是根据适当的浆果曲率表达的[J.物理A {\ bf 17},2453(1984)];主要方程式非常紧凑且非常通用。我在这里解决了三个范式绝热响应张量 - 原子极性张量,原子轴向张量和旋转$ g $因子 - 我表明,对于所有这些,已知的公式不需要独立证明。它们只是一般表达的案例研究,因为曲率的两个论点的不同选择。

Adiabatic transport in a many-electron system is expressed in terms of the appropriate Berry curvature, owing to the Niu-Thouless theory [J. Phys A {\bf 17}, 2453 (1984)]; the main equation is very compact and very general. I address here three paradigmatic adiabatic response tensors -- -the atomic polar tensor, the atomic axial tensor, and the rotational $g$ factor -- and I show that, for all of them, the known formulas do not need an independent proof. They are just case studies of the general expression, for different choices the curvature's two arguments.

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