论文标题
回顾均衡的系统功能重归其化组的最新发展
Review of recent developments of the functional renormalization group for systems out of equilibrium
论文作者
论文摘要
我们概括了功能重归其化组（FRG）方法的最新发展，以对热平衡的系统稳态状态。特别是，我们讨论了二阶截断方案，该方案解释了两个粒子顶点的频率依赖性并结合了非弹性过程。我们的重点是两种不同类型的一维费米链：i）具有翻译对称性的无限，开放系统，ii）有限系统耦合到左右储层。除了对FRG方案的技术推导进行详细而统一的审查之外，我们简要总结了一些关键的物理结果。特别是，我们计算非平衡相图，并分析无限开放系统中Berezinskii-Kosterlitz的命运。
We recapitulate recent developments of the functional renormalization group (FRG) approach to the steady state of systems out of thermal equilibrium. In particular, we discuss second-order truncation schemes which account for the frequency-dependence of the two particle vertex and which incorporate inelastic processes. Our focus is on two different types of one-dimensional fermion chains: i) infinite, open systems which feature a translation symmetry, and ii) finite systems coupled to left and right reservoirs. In addition to giving a detailed and unified review of the technical derivation of the FRG schemes, we briefly summarize some of the key physical results. In particular, we compute the non-equilibrium phase diagram and analyze the fate of the Berezinskii-Kosterlitz-Thouless transition in the infinite, open system.
