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Dual fermion method for disordered electronic systems

机译:用于无序电子系统的双重费米子方法

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摘要

While the coherent potential approximation (CPA) is the prevalent method for the study of disordered electronic systems, it fails to capture nonlocal correlations and Anderson localization. To incorporate such effects, we extend the dual fermion approach to disordered systems using the replica method. The developed method utilizes the exact mapping to the dual fermion variables, and includes intersite scattering via diagrammatic perturbation theory in the dual variables. The CPA is recovered as a zeroth-order approximation. Results for single- and two-particle quantities show good agreement with a cluster extension of the CPA; moreover, weak localization is captured. As a natural extension of the CPA, our method presents an alternative to existing nonlocal cluster theories for disordered systems, and has potential applications in the study of disordered systems with electronic interactions.
机译:虽然相干势近似(CPA)是研究无序电子系统的普遍方法,但它无法捕获非局部相关性和Anderson局部化。为了合并这种影响,我们使用复制方法将双重费米子方法扩展到无序系统。所开发的方法利用对双费米子变量的精确映射,并通过图解摄动理论在双变量中包括站点间散射。 CPA被恢复为零阶近似值。单粒子和两粒子数量的结果与CPA的群集扩展显示出良好的一致性;此外,捕获了弱本地化。作为CPA的自然扩展,我们的方法为现有的无序系统非局部聚类理论提供了一种替代方法,并且在研究具有电子相互作用的无序系统方面具有潜在的应用前景。

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  • 来源
    《Physical review》 |2013年第13期|134208.1-134208.6|共6页
  • 作者单位

    Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA;

    Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA,Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA;

    Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA,Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA;

    Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA,Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA;

    Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA,Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    electronic conduction in metals and alloys; electronic structure of disordered solids; metal-insulator transitions and other electronic transitions;

    机译:金属和合金中的电子传导;无序固体的电子结构;金属绝缘体过渡和其他电子过渡;

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