贝利相与非线性输运

电子输运现象包含一系列很重要的材料性质，并可以用来提供关于载体物理系统的很多信息。在 最近的二三十年，人们逐渐认识到除了电子能谱之外，电子在布里渊区的几何性质，比如贝利曲率和 轨道磁矩，会在电子输运中起到关键性的作用。在线性输运现象中的此种关联已引起广泛的兴趣并得 到深入的研究。然而，在非线性输运现象中的电子几何性质的作用的研究最近才逐渐起步。此种关联 可以大大加深对各种非线性输运现象的认识，并对如何从材料控制上调节非线性现象的强度提供有价 值的研究视角和指导原则。基于此背景，本文试图引入研究输运现象的半经典理论框架，并在几种输 运现象中举例说明贝利相的作用。

Implication of Berry Phase in Nonlinear Transport Phenomena

Electron transport involves a family of important material properties that can provide a wealth of information about the underlying system. In recent few decades, it has been more and more realized that the geometrical quantities in the momentum space, such as the Berry curvature and the orbital magnetic moment, play a highly involving role in the electron transport. Their connection to the transport property has been examined to great extent at the linear order. At the nonlinear order, such connection has begun to be examined recently. This not only deepens the understanding of such nonlinear transport phenomena, but also helps the band-structure engineering of them. In this work, we introduce the general semiclassical framework of the transport theory, which can be used to study both the linear and nonlinear phenomena, and exemplify the Berry phase effect in several transport phenomena.