Hierarchical Liouville-Space Approach for Accurate and Universal Characterization of Quantum Impurity Systems
Hierarchical Liouville-Space Approach for Accurate and Universal Characterization of Quantum Impurity Systems
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用于准确和通用表征量子杂质系统的分层刘维尔空间方法
DOI：
10.1103/physrevlett.109.266403
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发表时间：
2012-12-26
影响因子：
8.6
通讯作者：
Yan, YiJing
中科院分区：
文献类型：
--
作者：
Li, ZhenHua;Tong, NingHua;Yan, YiJing
为了精确有效地计算强关联量子杂质系统的动力学观测值，提出了一种基于运动方程的分层数值方法。这种方法能够定量描述近藤共振和费米液体特性，实现了最新的高层次数值重整化群方法的准确性，如单杂质安德森模型系统上所证明的。它的应用到一个两个杂质的安德森模型的结果在微分电导与外部偏压，正确地再现了连续的过渡，从单个杂质的近藤状态之间形成的单重态的两个杂质。在描述量子杂质系统的平衡和非平衡性质方面的出色表现使得分层运动方程方法在动力学平均场理论框架下处理强关联晶格系统方面具有潜在的应用价值。DOI：10.1103/PhysRevLett.109.266403
A hierarchical equations of motion based numerical approach is developed for accurate and efficient evaluation of dynamical observables of strongly correlated quantum impurity systems. This approach is capable of describing quantitatively Kondo resonance and Fermi-liquid characteristics, achieving the accuracy of the latest high-level numerical renormalization group approach, as demonstrated on single-impurity Anderson model systems. Its application to a two-impurity Anderson model results in differential conductance versus external bias, which correctly reproduces the continuous transition from Kondo states of individual impurity to singlet spin states formed between two impurities. The outstanding performance on characterizing both equilibrium and nonequilibrium properties of quantum impurity systems makes the hierarchical equations of motion approach potentially useful for addressing strongly correlated lattice systems in the framework of dynamical mean-field theory. DOI: 10.1103/PhysRevLett.109.266403