论文标题

通过波动的本地田间方法捕获的哈伯德图片中的集体磁波动

Collective magnetic fluctuations in Hubbard plaquettes captured by fluctuating local field method

论文作者

Rubtsov, Alexey N., Stepanov, Evgeny A., Lichtenstein, Alexander I.

论文摘要

我们建立了一种基于波动的本地场概念来处理相关量子系统中主要集体波动的方法。该技术超出了标准均值场方法,例如Hartree-Fock和动态均值场理论(DMFT),因为它包括一个可波动的经典字段,该字段作用于系统的领先顺序参数。该新理论的有效模型参数是根据变异原理确定的,该原理可以解决局部相互作用项的解耦中的Fierz歧义。在波动场的鞍点近似中,我们的方法再现了平均场结果。该字段上的确切数值集成允许考虑系统的全局顺序参数的非线性波动,而可以通过求解DMFT杂质问题来解释局部相关性。我们将我们的方法应用于有限哈伯德系统的磁敏感性,并证明引入的技术会导致有关父母均值野生近距离方法而没有显着数值并发症的结果的较大改善。我们表明,波动的局部场方法可以在基本低于DMFT的Néel温度的非常广泛的温度中使用,这仍然是所有现有理论方法的主要挑战。

We establish a way to handle main collective fluctuations in correlated quantum systems based on a Fluctuation Local Field concept. This technique goes beyond standard mean-field approaches, such as Hartree-Fock and dynamical mean-field theories (DMFT), as it includes a fluctuating classical field that acts on the leading order parameter of the system. Effective model parameters of this new theory are determined from the variational principle, which allows to resolve the Fierz ambiguity in decoupling of the local interaction term. In the saddle-point approximation for the fluctuating field our method reproduces the mean-field result. The exact numerical integration over this field allows to consider nonlinear fluctuations of the global order parameter of the system while local correlations can be accounted by solving the DMFT impurity problem. We apply our method to the magnetic susceptibility of finite Hubbard systems at half-filling and demonstrate that the introduced technique leads to a superior improvement of results with respect to parental mean-field approaches without significant numerical complications. We show that the Fluctuation Local Field method can be used in a very broad range of temperatures substantially below the Néel temperature of DMFT, which remains a major challenge for all existing theoretical approaches.

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