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首页> 外文期刊>Physical review >Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model
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Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model

机译：强相关的费米子系统基于簇的均值场和微扰描述：在一维和二维哈伯德模型中的应用

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摘要

We introduce a mean-field and a perturbative approach, based on clusters, to describe the ground state of fermionic strongly correlated systems. In the cluster mean-field approach, the ground-state wave function is written as a simple tensor product over optimized cluster states. The optimization of the single-particle basis where the cluster mean field is expressed is crucial in order to obtain high-quality results. The mean-field nature of the Ansatz allows us to formulate a perturbative approach to account for intercluster correlations; other traditional many-body strategies can be easily devised in terms of the cluster states. We present benchmark calculations on the half-filled 1D and (square) 2D Hubbard model, as well as the lightly doped regime in 2D, using cluster mean-field and second-order perturbation theory. Our results indicate that, with sufficiently large clusters or to second-order in perturbation theory, a cluster-based approach can provide an accurate description of the Hubbard model in the considered regimes. Several avenues to improve upon the results presented in this work are discussed.
机译：我们介绍一种基于簇的均值场和微扰方法，以描述费米离子强相关系统的基态。在聚类平均场方法中，基态波函数被写为优化聚类状态上的简单张量积。为了获得高质量的结果，优化表示簇平均场的单粒子基础至关重要。 Ansatz的平均场性质使我们能够制定一种扰动方法来解释集群间的相关性。其他传统的多体策略可以根据聚类状态轻松设计。我们使用簇平均场和二阶摄动理论，介绍了半填充的1D和（正方形）2D Hubbard模型以及2D中的轻掺杂体系的基准计算。我们的结果表明，在扰动理论中具有足够大的聚类或达到二阶的情况下，基于聚类的方法可以在所考虑的状态下提供对Hubbard模型的准确描述。讨论了改进此工作中提出的结果的几种方法。

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