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首页> 外文期刊>Physical Review X >Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
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Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model

机译：跟踪旋转波动的脚印：多立体化，二维哈贝德模型的多国企业研究

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摘要

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a comprehensive set of state-of-the-art quantum many-body methods. Upon cooling into its insulating antiferromagnetic ground state, the model hosts a rich sequence of distinct physical regimes with crossovers between a high-temperature incoherent regime, an intermediate-temperature metallic regime, and a low-temperature insulating regime with a pseudogap created by antiferromagnetic fluctuations. We assess the ability of each method to properly address these physical regimes and crossovers through the computation of several observables probing both quasiparticle properties and magnetic correlations, with two numerically exact methods (diagrammatic and determinantal quantum Monte?Carlo methods) serving as a benchmark. By combining computational results and analytical insights, we elucidate the nature and role of spin fluctuations in each of these regimes. Based on this analysis, we explain how quasiparticles can coexist with increasingly long-range antiferromagnetic correlations and why dynamical mean-field theory is found to provide a remarkably accurate approximation of local quantities in the metallic regime. We also critically discuss whether imaginary-time methods are able to capture the non-Fermi-liquid singularities of this fully nested system.
机译：Hubbard模型代表了相互作用的Quantum系统和电子相关的基本模型。在弱耦合时使用二维半填充的哈伯德型号作为测试地，我们对全面的最先进量子的多体方法进行比较研究。在冷却到其绝缘反铁磁接地状态时，该模型在高温非相干制度，中间温度金属制度和低温绝缘状态之间占多个不同的物理制度，与由反铁磁波动产生的伪焦点的低温绝缘状态。我们评估各种方法通过计算探测Quasiparticle属性和磁性相关性的几个可观察到的各种可观察到的能力，以及用作基准的两种数值精确的方法（图解和确定Quantum Monte？Carlo方法）。通过组合计算结果和分析洞察力，我们阐明了这些制度中的每一个中的旋转波动的性质和作用。基于该分析，我们解释了QuasiPally如何与越来越远的反铁磁相关性共存，以及为什么发现动态平均场理论在金属制度中提供局部数量的显着精确近似。我们还批判性地讨论虚拟时间方法是否能够捕获这种完全嵌套系统的非费米液奇异性。

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