Continuous-time Monte Carlo methods for quantum impurity models
Continuous-time Monte Carlo methods for quantum impurity models
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DOI：
10.1103/revmodphys.83.349
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发表时间：
2011-05-05
影响因子：
44.1
通讯作者：
Werner, Philipp
中科院分区：
文献类型：
--
作者：
Gull, Emanuel;Millis, Andrew J.;Werner, Philipp
量子杂质模型描述了嵌入在主体材料中的原子或分子，它可以与之交换电子。它们是纳米科学的基础，作为量子点和分子导体的代表，作为辅助问题在“关联电子”材料的理论中扮演着越来越重要的角色，其解给出了自能和局域关联函数的“动态平均场”近似。这些应用需要一种解决方法，该方法提供对高能量和低能量尺度的访问，并且对广泛类别的物理逼真模型有效。本文回顾的连续时间量子蒙特卡罗算法满足了这一挑战。算法的推导和描述足够详细，允许其他工作人员编写他们自己的实现，讨论方法的优点和缺点，总结新方法已经成功应用的问题，并概述未来的应用前景。
Quantum impurity models describe an atom or molecule embedded in a host material with which it can exchange electrons. They are basic to nanoscience as representations of quantum dots and molecular conductors and play an increasingly important role in the theory of "correlated electron" materials as auxiliary problems whose solution gives the "dynamical mean-field" approximation to the self-energy and local correlation functions. These applications require a method of solution which provides access to both high and low energy scales and is effective for wide classes of physically realistic models. The continuous-time quantum Monte Carlo algorithms reviewed in this article meet this challenge. Derivations and descriptions of the algorithms are presented in enough detail to allow other workers to write their own implementations, discuss the strengths and weaknesses of the methods, summarize the problems to which the new methods have been successfully applied, and outline prospects for future applications.