论文标题
周期性晶体中的相干电子传输
Coherent electronic transport in periodic crystals
论文作者
论文摘要
我们考虑在其基态的周期性晶体中的独立电子，并在某些规定的时间打开均匀的电场。我们严格地定义了每单位体积的当前，并使用线性响应和绝热理论研究其特性。我们的结果为各种现象提供了一个统一的框架，例如，具有破裂的时间可逆性的霍尔电导率，金属中电子的弹道性状态，金属长期响应中的Bloch振荡以及石墨烯的静电性。我们明确确定每个人所拥有的制度。
We consider independent electrons in a periodic crystal in their ground state, and turn on a uniform electric field at some prescribed time. We rigorously define the current per unit volume and study its properties using both linear response and adiabatic theory. Our results provide a unified framework for various phenomena such as the quantification of Hall conductivity of insulators with broken time-reversibility, the ballistic regime of electrons in metals, Bloch oscillations in the long-time response of metals, and the static conductivity of graphene. We identify explicitly the regime in which each holds.
