论文标题
非相互作用费米昂系统和电导率的耗散动力学
Dissipative dynamics of non-interacting fermion systems and conductivity
论文作者
论文摘要
在本文中，讨论了由电场引起的非平衡稳态以及在耗散动力学下的非相互作用fermion系统的电导率。在戴维斯（Davies，1977）引入的量子动力学半群的框架内考虑了耗散。我们获得了固定状态的电导率公式，该公式适用于任意电位。我们的公式给出了绝热因素的理由，该因子通常在使用Kubo公式的实际计算中引入。另外，还讨论了晶体的电导率（即周期电位）。
In this paper, Non-Equilibrium Steady State induced by electric field and the conductivity of non-interacting fermion systems under the dissipative dynamics is discussed. The dissipation is taken into account within a framework of the quantum dynamical semigroup introduced by Davies (1977). We obtain a formula of the conductivity for the stationary state, which is applicable to arbitrary potentials. Our formula gives a justification of an adiabatic factor which is often introduced in practical calculation using Kubo formula. In addition the conductivity of crystals (i.e. periodic potentials) is also discussed.
