Metal-insulator Transitions in Three-component Falicov-Kimball Model within Coherent Potential Approximation

Tuan Hoang Anh, Thi-Huong Nguyen, D. Le
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Abstract

We apply the coherent potential approximation to study the three-component Falicov - Kimball model, in which single-component and two-component fermionic particles are mixed in an optical lattice. In the model, the heavy single-component fermionic particles are localized while the light two-component fermionic particles can hop in the lattice. At half-filling, two transitions from an insulator via a metallic state to a Mott insulator are found with increasing the particle correlations. By contrast, at third-filling, only one transition from the metallic state to the Mott insulating phase is observed for strong repulsive interactions. Our results are consistent with those obtained by the dynamical mean field theory as well as by the slave boson mean field approach.
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相干电位近似下三分量Falicov-Kimball模型中的金属绝缘子跃迁
我们应用相干势近似研究了单组分和双组分费米子粒子在光学晶格中混合的三组分Falicov - Kimball模型。在模型中,重的单组分费米子粒子是局域的,而轻的双组分费米子粒子可以在晶格中跳跃。在半填充时,发现两个从绝缘体通过金属态到莫特绝缘体的转变随着粒子相关性的增加而增加。相比之下,在第三次填充时,只有一次从金属态到莫特绝缘相的转变被观察到强烈的排斥相互作用。我们的结果与动力学平均场理论和从玻色子平均场方法得到的结果是一致的。
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