Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials

Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
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四费米子相互作用和杂质在二维半狄拉克材料态中的作用

DOI:
10.1088/1361-648x/aaa8ce/meta
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发表时间:
2018-03
期刊:
J. Phys.: Condens. Matter
影响因子:
--
通讯作者:
JingWang
JingWang
中科院分区:
其他
文献类型:
--
作者:
JingWang

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我们利用无偏重正化群方法研究了四费米子相互作用和杂质对二维半狄拉克材料低能态的影响。在考虑四费米子相互作用与杂质之间相互作用的单环修正后,导出了控制所有相关相互作用参数的能量相关演化的耦合流方程。四费米子相互作用和杂质是否以及如何影响二维半狄拉克材料的低能特性得到了谨慎的探索和关注。在进行标准重整化群分析后,我们发现平凡绝缘态和非平凡半金属态对于所有四种四费米子相互作用都是定性稳定的。然而,当同时开启四费米子相互作用和杂质时,某些绝缘体-半金属相变和狄拉克节点的距离由于它们的强烈相互作用和密切竞争而可以分别被诱导和修改。此外,在最低能量极限下表现出一些与传统费米液体不同的非费米液体行为。
We study the effects of four-fermion interaction and impurity on the low-energy states of 2D semi-Dirac materials by virtue of the unbiased renormalization group approach. The coupled flow equations that govern the energy-dependent evolutions of all correlated interaction parameters are derived after taking into account one-loop corrections from the interplay between four-fermion interaction and impurity. Whether and how four-fermion interaction and impurity influence the low-energy properties of 2D semi-Dirac materials are discreetly explored and addressed attentively. After carrying out the standard renormalization group analysis, we find that both trivial insulating and nontrivial semimetal states are qualitatively stable against all four kinds of four-fermion interactions. However, while switching on both four-fermion interaction and impurity, certain insulator–semimetal phase transitions and the distance of Dirac nodal points can be respectively induced and modified due to their strong interplay and intimate competition. Moreover, several non-Fermi liquid behaviors that deviate from the conventional Fermi liquids are exhibited at the lowest-energy limit.
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