arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1202.6115cond-mat.str-elcond-mat.supr-con
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U(1)从旋理论及其在铁磷属元素多轨道模型Mott跃迁中的应用

U(1) Slave-spin theory and its application to Mott transition in a multi-orbital model for iron pnictides

Rong Yu, Qimiao Si

摘要:

本文对多轨道哈伯德模型引入了U(1)从旋表象。与L的$Z_2$形式一样。de'Medici等人(Phys.Rev.B72,205 - 124(2005)),该方法将物理电子算符表示为从自旋和辅助费米子算符的乘积。对于非简并的多轨道模型,我们的U(1)方法是有利的,因为它捕获了平均场水平上的非相互作用极限。对于具有单轨道或简并多轨道的系统,U(1)和$Z_2$从自旋方法在从自旋凝聚相中产生相同的结果。一般来说,U(1)从自旋方法包含U(1)规范冗余,并适当地描述了莫特绝缘相。本文采用U(1)从自旋方法研究了铁磷属元素的五轨道模型中的金属-绝缘体相变。我们证明了莫特过渡作为在这个模型中的相互作用的函数。莫特绝缘状态的性质受到洪德规则耦合和晶场分裂之间的相互作用的影响。在金属相,当Hund规则耦合超过一个阈值时,存在一个从弱关联金属到强关联金属的交叉,通过这个交叉准粒子谱量迅速下降。这种强烈相关的金属相的存在支持了早期的莫特图片的母体铁磷属元素。在此相的参数范围内和Mott跃迁附近,我们发现轨道选择性Mott态具有几乎与基态能量相同的竞争能量。

英文摘要:

A U(1) slave-spin representation is introduced for multi-orbital Hubbard models. As with the $Z_2$ form of L. de'Medici et al. (Phys. Rev. B 72, 205124 (2005)), this approach represents a physical electron operator as the product of a slave spin and an auxiliary fermion operator. For non-degenerate multi-orbital models, our U(1) approach is advantageous in that it captures the non-interacting limit at the mean-field level. For systems with either a single orbital or degenerate multiple orbitals, the U(1) and $Z_2$ slave-spin approachs yield the same results in the slave-spin-condensed phase. In general, the U(1) slave-spin approach contains a U(1) gauge redundancy, and properly describes a Mott insulating phase. We apply the U(1) slave-spin approach to study the metal-to-insulator transition in a five-orbital model for parent iron pnictides. We demonstrate a Mott transition as a function of the interactions in this model. The nature of the Mott insulating state is influenced by the interplay between the Hund's rule coupling and crystal field splittings. In the metallic phase, when the Hund's rule coupling is beyond a threshold, there is a crossover from a weakly correlated metal to a strongly correlated one, through which the quasiparticle speactral weight rapidly drops. The existence of such a strongly correlated metallic phase supports the incipient Mott picture of the parent iron pnictides. In the parameter regime for this phase and in the vicinity of the Mott transition, we find that an orbital selective Mott state has nearly as competitive a ground state energy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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