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General method for calculating the universal conductance of strongly correlated junctions of multiple quantum wires

机译:计算多条量子线强相关结的通用电导的通用方法

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We develop a method to extract the universal conductance of junctions of multiple quantum wires, a property of systems connected to reservoirs, from static ground-state computations in closed finite systems. The method is based on a key relationship, derived within the framework of boundary conformal field theory, between the conductance tensor and certain ground-state correlation functions. Our results provide a systematic way of studying quantum transport in the presence of strong electron-electron interactions using efficient numerical techniques such as the standard time-independent density-matrix renormalization-group method. We give a step-by-step recipe for applying the method and present several tests and benchmarks. As an application of the method, we calculate the conductance of the M fixed point of a Y junction of Luttinger liquids for several values of the Luttinger parameter g and conjecture its functional dependence on g.
机译:我们开发了一种方法,可以从封闭有限系统中的静态基态计算中提取多条量子线结的通用电导,这是连接到储层的系统的属性。该方法基于电导张量与某些基态相关函数之间的关键关系,该关系是在边界共形场理论的框架内得出的。我们的结果提供了一种使用有效的数值技术(例如,与时间无关的标准密度矩阵重新归一化组方法)来研究存在强电子-电子相互作用的量子传输的系统方法。我们给出了应用该方法的分步指南,并提供了一些测试和基准。作为该方法的应用,我们针对Luttinger参数g的多个值,计算Luttinger液体的Y结的M个固定点的电导,并推测其对g的函数依赖性。

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