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首页> 外文期刊>Physical review >Cluster dynamical mean field theory study of antiferromagnetic transition in the square-lattice Hubbard model: Optical conductivity and electronic structure
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Cluster dynamical mean field theory study of antiferromagnetic transition in the square-lattice Hubbard model: Optical conductivity and electronic structure

机译：方格哈伯德模型中反铁磁跃迁的群动力学平均场理论研究：光导率和电子结构

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摘要

We numerically study optical conductivity σ(ω) near the "antiferromagnetic" phase transition in the square-lattice Hubbard model at half filling. We use a cluster dynamical mean field theory and calculate conductivity including vertex corrections and, to this end, we have reformulated the vertex corrections in the antiferromagnetic phase. We find that the vertex corrections change various important details in temperature and ω dependencies of conductivity in the square lattice, and this contrasts sharply the case of the Mott transition in the frustrated triangular lattice. Generally, the vertex corrections enhance variations in the ω dependence, and sharpen the Drude peak and a high-ω incoherent peak in the paramagnetic phase. They also enhance the dip in σ(ω) at ω = 0 in the antiferromagnetic phase. Therefore, the dc conductivity is enhanced in the paramagnetic phase and suppressed in the antiferromagnetic phase, but this change occurs slightly below the transition temperature. We also find a temperature region above the transition temperature in which the dc conductivity shows an insulating behavior but σ(ω) retains the Drude peak, and this region is stabilized by the vertex corrections. We also investigate which fluctuations are important in the vertex corrections and analyze momentum dependence of the vertex function in detail.
机译：我们在半填充半方晶格哈伯德模型中数值研究“反磁性”相变附近的光导率σ（ω）。我们使用群集动力学平均场理论并计算包括顶点校正在内的电导率，为此，我们重新构造了反铁磁相中的顶点校正。我们发现，顶点校正改变了方格中温度和电导率的ω相关性的许多重要细节，这与受挫三角形格中Mott跃迁的情况形成了鲜明的对比。通常，顶点校正会增强ω相依性的变化，并会使顺磁相中的Drude峰和高ω非相干峰变尖。它们还增强了反铁磁相位中ω= 0时σ（ω）的下降。因此，直流电导率在顺磁性相中增强，而在反铁磁性相中受到抑制，但是这种变化会在转变温度以下稍微发生。我们还发现了高于转变温度的温度区域，在该温度区域中，直流电导率显示出绝缘行为，但σ（ω）保留了Drude峰，并且该区域通过顶点校正得以稳定。我们还研究了哪些波动在顶点校正中很重要，并详细分析了顶点函数的动量依赖性。

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  • 来源
    《Physical review》 |2016年第8期|085110.1-085110.12|共12页
  • 作者

    Toshihiro Sato; Hirokazu Tsunetsugu;

  • 作者单位

    Computational Condensed Matter Physics Laboratory, RIKEN, Wako, Saitama 351-0198, Japan;

    The Institute for Solid State Physics, The University of Tokyo, Kashiwa, Chiba 277-8581, Japan;

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