The Local Impurity Self Consistent Approximation (LISA) to Strongly Correlated Fermion Systems and the Limit of Infinite Dimensions
The Local Impurity Self Consistent Approximation (LISA) to Strongly Correlated Fermion Systems and the Limit of Infinite Dimensions
复制标题
强相关费米子系统的局域杂质自洽逼近（LISA）及无限维极限
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
M. Rozenberg
中科院分区：
文献类型：
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作者：
A. Georges;G. Kotliar;W. Krauth;M. Rozenberg
本文综述了强关联费米子系统的动力学平均场理论，该理论基于晶格模型到量子杂质模型的自洽映射。这种映射在大晶格配位（或无限空间维度）的极限下是精确的。该方法可用于确定相图和计算的热力学性质，单粒子绿色的功能，和响应函数，使用分析和数值技术的描述。我们回顾了最近的进展，在理解哈伯德模型和莫特金属-绝缘体过渡在这种方法中，包括一些比较三维过渡金属氧化物的实验。还回顾了该方法在其他模型中的一些应用。目前的限制的方法，和可能的扩展的形式主义最后进行了讨论。本文还提供了数值实现该方法的计算机程序。
We review the dynamical mean-field theory of strongly correlated fermion systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition. This mapping is exact in the limit of large lattice coordination (or infinite spatial dimensions). This method can be used for the determination of phase diagrams and the calculation of thermodynamic properties, one-particle Green's functions, and response functions, using analytic and numerical techniques which are described. We review the recent progress in understanding the Hubbard model and the Mott metal-insulator transition within this approach, including some comparison to experiments on three-dimensional transition-metal oxides. Some applications of this method to other models are also reviewed. The present limitations of the approach, and possible extensions of the formalism are finally discussed. Computer programs for the numerical implementation of this method are provided with this article.