论文标题

多轨哈伯德模型的两粒子自一致的方法

Two-Particle Self-Consistent method for the multi-orbital Hubbard model

论文作者

Zantout, Karim, Backes, Steffen, Valenti, Roser

论文摘要

固态系统中最具挑战性的问题之一是电子相关性的微观分析。编码相关效应的最低最低模型是哈伯德哈密顿量,尽管它的简单性 - 仅在少数限制情况下才能解决,并且其解决方案需要近似的多体方法。在这篇综述中,我们介绍了有关非扰动的两粒子自一致方法(TPSC)的概述,该方法最初是为了描述单波段哈伯德模型的电子特性。我们在这里介绍了TPSC的多轨道概括的详细推导,并讨论了该方法与动态均值场理论结果相比,该方法的特定特征。

One of the most challenging problems in solid state systems is the microscopic analysis of electronic correlations. A paramount minimal model that encodes correlation effects is the Hubbard Hamiltonian, which -- albeit its simplicity -- is exactly solvable only in a few limiting cases and approximate many-body methods are required for its solution. In this review we present an overview on the non-perturbative Two-Particle Self-Consistent method (TPSC) which was originally introduced to describe the electronic properties of the single-band Hubbard model. We introduce here a detailed derivation of the multi-orbital generalization of TPSC and discuss particular features of the method on exemplary interacting models in comparison to dynamical mean-field theory results.

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