二次带接触三维材料中由费米子-费米子相互作用、转动和粒子-空穴不对称引起的不稳定性
Instability caused by the fermion-fermion interactions combined with rotational and particle-hole asymmetries in three-dimensional materials with quadratic band touching
摘要：
我们调查的四个费米子相互作用，旋转和粒子-空穴不对称性的作用，以及它们在三维系统中的相互作用与二次带接触点凭借的重整化群的方法，它允许处理所有这些方面无偏。为了研究低能态的行为，通过考虑单圈修正，导出了相互作用参数的耦合流演化。我们发现四费米子相互作用可以驱动高斯不动点在低能区不稳定。此外，旋转和粒子-空穴的不对称性，以及费米子-费米子相互作用共同分裂不同类型的费米子耦合的轨迹，并在适当的起始条件下诱导超导不稳定性。此外，我们提出了在参数空间中的示意性相图，显示在低能量区的状态的整体行为所造成的费米相互作用和不对称性。
英文摘要：
We investigate the role of four-fermion interactions, rotational and particle-hole asymmetries, and their interplay in three-dimensional systems with a quadratic band touching point by virtue of the renormalization group approach, which allows to treat all these facets unbiasedly. The coupled flow evolutions of interaction parameters are derived by taking into account one-loop corrections in order to explore the behaviors of low-energy states. We find four-fermion interaction can drive Gaussian fixed points to be unstable in the low-energy regime. In addition, the rotational and particle-hole asymmetries, together with the fermion-fermion interactions conspire to split the trajectories of distinct types of fermionic couplings and induce superconductivity instability with appropriate starting conditions. Furthermore, we present the schematic phase diagrams in the parameter space, showing the overall behaviors of states in the low-energy regime caused by both fermionic interactions and asymmetries.
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