Nonequilibrium dynamical mean-field theory of strongly correlated electrons
Nonequilibrium dynamical mean-field theory of strongly correlated electrons
复制标题
强相关电子的非平衡动力学平均场理论
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
J. Freericks
中科院分区：
文献类型：
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作者：
V. Turkowski;J. Freericks
我们提出了一个检讨，我们最近的工作，成功的动力学平均场理论从平衡的情况下，非平衡的情况下。特别是，我们专注于打开一个空间均匀的问题，但可能随时间变化，电场（忽略所有的磁场效应）。我们将展示如何使用明显的规范不变形式主义，并将瞬态响应形式主义的数值计算与不同类型的近似处理进行比较，包括半经典玻尔兹曼方程和相互作用中的微扰理论。在这篇综述中，我们解决了Falicov-Kimball模型的非平衡问题，这是最简单的多体模型和最简单的问题来说明扩散金属和Mott绝缘体的非平衡行为。由于篇幅的限制，我们假设读者已经对Kadanoff-Baym-Keldysh非平衡形式主义和平衡动力学平均场理论有一定的了解;我们提供了一个参考文献，可以找到更多的细节。
We present a review of our recent work in extending the successful dynamical mean-field theory from the equilibrium case to nonequilibrium cases. In particular, we focus on the problem of turning on a spatially uniform, but possibly time varying, electric field (neglecting all magnetic field effects). We show how to work with a manifestly gauge-invariant formalism, and compare numerical calculations from a transient-response formalism to different types of approximate treatments, including the semiclassical Boltzmann equation and perturbation theory in the interaction. In this review, we solve the nonequilibrium problem for the Falicov-Kimball model, which is the simplest many-body model and the easiest problem to illustrate the nonequilibrium behavior in both diffusive metals and Mott insulators. Due to space restrictions, we assume the reader already has some familiarity both with the Kadanoff-Baym-Keldysh nonequilibrium formalism and with equilibrium dynamical mean-field theory; we provide a guide to the literature where additional details can be found.