Density Matrix Renormalization
Density Matrix Renormalization
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DOI：
10.1007/0-387-21717-7_1
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发表时间：
1999-10
期刊：
影响因子：
--
通讯作者：
K. Hallberg
中科院分区：
文献类型：
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作者：
K. Hallberg
密度矩阵重整化群（DMRG）已经成为一种强有力的数值方法，可以应用于低维强关联的费米子和玻色子系统。它允许一个非常精确的计算静态，动态和物理性质。它的应用领域已经超出了凝聚态物质，并成功地用于统计力学和高能物理。在本章中，我们简要回顾了该方法的主要方面。我们还评论了一些最相关的应用程序，以便给DMRG的范围和可能性的概述，并提到最重要的扩展的方法，如动力学性质的计算，经典系统的应用，包括温度，声子和无序，场论，时间相关的属性，和theab initocalculation的分子中的电子态。
The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamical, and thermodynamical properties. Its field of applicability has now extended beyond Condensed Matter, and is successfully used in statistical mechanics and high-energy physics as well. In this chapter, we briefly review the main aspects of the method. We also comment on some of the most relevant applications so as to give an overview on the scope and possibilities of DMRG and mention the most important extensions of the method, such as the calculation of dynamical properties, the application to classical systems; inclusion of temperature, phonons and disorder, field theory; time-dependent properties, and theab initiocalculation of electronic states in molecules.