Hierarchical Liouville-space approach to nonequilibrium dynamical properties of quantum impurity systems

Article

关键词: NUMERICAL RENORMALIZATION-GROUP;    TIME-DEPENDENT TRANSPORT;    MESOSCOPIC CONDUCTORS;    INFINITE DIMENSIONS;    MAXIMUM-ENTROPY;    MOTT TRANSITION;    HUBBARD-MODEL;    ELECTRON-SPIN;    DOT;    MATRIX;   

DOI  :  10.1103/PhysRevB.88.035129

来源: SCIE

【 摘 要 】

We propose a hierarchical dynamics approach for evaluation of nonequilibrium dynamic response properties of quantum impurity systems. It is based on a hierarchical equations of motion formalism, in conjunction with a linear response theory established in the hierarchical Liouville space. This provides an accurate and universal tool for characterization of a variety of response and correlation functions of local impurities, as well as transport related response properties. The practicality of our proposed approach is demonstrated via the evaluation of various dynamical properties of a single-impurity Anderson model. These include the impurity spectral density, local charge fluctuation, local magnetic susceptibility, and current-voltage admittance, in both equilibrium and nonequilibrium situations. The numerical results are considered to be quantitatively accurate, as long as they converge quantitatively with respect to the truncation of the hierarchy.

【 授权许可】

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