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arXiv 2001.06751cond-mat.str-el
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Ⅱ型Weyl半金属的相互作用诱导相变

Interaction-induced phase transitions of type-II Weyl semimetals

Yi-Xiang Wang, Fuxiang Li, Baoan Bian

摘要:

外尔半金属的研究是凝聚态物理非平凡拓扑现象的前沿。在这项工作中,我们研究了在位排斥Hubbard相互作用对具有非零倾斜的半填充WSM系统的影响。在Hartree-Fock平均场近似下,我们自洽地处理了Hubbard相互作用,发现Fock交换场为零,而Hartree场可以重整化Weyl锥的拓扑质量、倾斜和费米速度.当重整化倾斜大于重整化费米速度时,Hubbard相互作用将诱导从I型WSM到II型WSM的量子相变。在此基础上,我们给出了不同参数空间下的WSM相互作用诱导相图,其中考虑了强相互作用下的反铁磁有序。此外,我们分析了另一个模型托管两对Weyl节点,并得到类似的结果。这些结果的影响进行了讨论。

英文摘要:

The study of Weyl semimetals (WSMs) lies at the forefront of the nontrivial topological phenomena in condensed-matter physics. In this work, we study the effect of on-site repulsive Hubbard interaction on the WSM system with a nonzero tilt at half filling. Within the Hartree-Fock mean-field approximation, we treat the Hubbard interaction self-consistently and find that the Fock exchange field vanishes, while the Hartree field can renormalize the topological mass, the tilt, and the Fermi velocity of the Weyl cones. When the renormalized tilt is larger than the renormalized Fermi velocity, the Hubbard interaction will induce the quantum phase transition from a type-I WSM to a type-II WSM. We then provide the interaction-induced phase diagrams of WSMs in different parametric spaces, in which the antiferromagnetic order at strong interaction is also considered. In addition, we analyze another model hosting two pairs of Weyl nodes, and similar results are obtained. The implications of these results are discussed.

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