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arXiv 1612.01736cond-mat.str-el
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Kondo晶格模型谱的精细结构:双格点胞腔DMFT研究

Fine structure of the spectra of the Kondo lattice model: two-site cellular DMFT study

Žiga Osolin, Rok Žitko

摘要:

本文采用数值重整化群(NRG)作为杂质求解器,利用元胞动力学平均场论(CDMFT)研究了立方晶格上Kondo晶格模型中的反铁磁和顺磁Kondo绝缘体相,着重于谱函数和自能的精细细节.我们发现,非局域相关性增加了反铁磁和近藤绝缘体相的间隙,并缩小了相图中反铁磁相的范围,但不改变任何性质。CDMFT的数值结果与一个简单的杂化图(它充分描述了系统的整体能带结构,但忽略了所有对非弹性散射过程的影响)的结果之间的一致性与单点DMFT的结果相似;存在导致附加精细结构的偏差,特别是对于在接近反铁磁-顺磁量子相变的强耦合区域中变得更加明显的不对称光谱共振或下降。这些特征在CDMFT中显得更宽,主要是由于与NRG中所需的更积极的状态截断相关的数值伪影。

英文摘要:

We study the antiferromagnetic and the paramagnetic Kondo insulator phases of the Kondo lattice model on the cubic lattice at half-filling using the cellular dynamical mean-field theory (CDMFT) with numerical renormalization group (NRG) as the impurity solver, focusing on the fine details of the spectral function and self-energy. We find that the non-local correlations increase the gap in both the antiferromagnetic and the Kondo insulator phase and shrink the extent of the antiferromagnetic phase in the phase diagram but do not alter any properties qualitatively. The agreement between the numerical CDMFT results and those within a simple hybridization picture, which adequately describes the overall band structure of the system but neglects all effects on the inelastic-scattering processes, is similar to that of the single-site DMFT results; there are deviations that are responsible for the additional fine structure, in particular for the asymmetric spectral resonances or dips that become more pronounced in the strong-coupling regime close to the antiferromagnet-paramagnetic quantum phase transition. These features appear broader in the CDMFT mostly due to numerical artifacts linked to more aggressive state truncation required in the NRG.

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