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Momentum-space cluster dual-fermion method

机译：动量空间簇双费密方法

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摘要

Recent years have seen the development of two types of nonlocal extensions to the single-site dynamical mean field theory. On one hand, cluster approximations, such as the dynamical cluster approximation, recover short-range momentum-dependent correlations nonperturbatively. On the other hand, diagrammatic extensions, such as the dual-fermion theory, recover long-ranged corrections perturbatively. The correct treatment of both strong short-ranged and weak long-ranged correlations within the same framework is therefore expected to lead to a quick convergence of results, and offers the potential of obtaining smooth self-energies in nonperturbadve regimes of phase space. In this paper, we present an exact cluster dual-fermion method based on an expansion around the dynamical cluster approximation. Unlike previous formulations, our method does not employ a coarse-graining approximation to the interaction, which we show to be the leading source of error at high temperature, and converges to the exact result independendy of the size of the underlying cluster. We illustrate the power of the method with results for the second-order cluster dual-fermion approximation to the single-particle self-energies and double occupancies.
机译：近年来，单站点动力平均场理论发展了两种类型的非局部扩展。一方面，诸如动态聚类近似之类的聚类近似非扰动地恢复了短程动量相关的相关性。另一方面，图解扩展（例如双费米子理论）扰动地恢复了远程校正。因此，期望在同一框架内正确处理强短程相关性和弱短程相关性会导致结果快速收敛，并提供在相空间的非扰动状态下获得平滑自能量的潜力。在本文中，我们提出了一种基于围绕动态簇近似展开的精确簇双费米子方法。与以前的公式不同，我们的方法没有对相互作用进行粗粒度近似，这表明它是高温下误差的主要来源，并且收敛到与基础簇的大小无关的确切结果。我们用二阶簇双费米子逼近单粒子自能和双占的结果说明了该方法的功效。

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  • 来源
    《Physical review》 |2018年第12期|125114.1-125114.11|共11页
  • 作者

    Sergei Iskakov; Hanna Terletska; Emanuel Gull;

  • 作者单位

    Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA;

    Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA,Department of Physics and Astronomy, Computational Science Program, Middle Tennessee State University, Murfreesboro, Tennessee 37132, USA;

    Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA;

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