arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2003.06776cond-mat.str-elcond-mat.mes-hall
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具有二次带交叉点的二维非对称材料在四费米子相互作用和杂质散射下的稳定性

Stability of two-dimensional asymmetric materials with a quadratic band crossing point under four-fermion interaction and impurity scattering

Yao-Ming Dong, Ya-Hui Zhai, Dong-Xing Zheng, Jing Wang

摘要:

利用重整化群,我们研究了费米子-费米子相互作用和杂质散射对具有二次带交叉点的二维非对称材料的低能稳定性的影响.通过考虑单圈修正,得到了携带中心物理信息的所有相互作用参数的耦合流动演化。几个有趣的结果显然是从这些纠缠演化提取。首先,我们认识到一旦费米子耦合流向高斯不动点,二次带接触结构特别稳健。否则,在非平凡不动点附近,它既可以是稳定的,也可以被杂质散射破坏。此外,我们还发现两个测量转动和粒子-空穴不对称性的参数$η$和$λ$与能量密切相关,并表现出相当丰富的行为,取决于费米子-费米子耦合的命运和不同类型的杂质。顺便说一下,由于$η$和$λ$在低能区都可以显著增加或大大减少,在某些限制条件下的非对称系统表现出一种有趣的现象,其中从旋转或粒子-空穴非对称到对称情况的转变将被激活。

英文摘要:

We investigate the impacts of combination of fermion-fermion interactions and impurity scatterings on the low-energy stabilities of two-dimensional asymmetric materials with a quadratic band crossing point by virtue of the renormalization group that allows us to treat distinct sorts of physical ingredients on the same footing. The coupled flow evolutions of all interaction parameters which carry the central physical information are derived by taking into account one-loop corrections. Several intriguing results are manifestly extracted from these entangled evolutions. At first, we realize that the quadratic band touching structure is particularly robust once the fermionic couplings flow toward the Gaussian fixed point. Otherwise, it can either be stable or broken down against the impurity scattering in the vicinity of nontrivial fixed points. In addition, we figure out two parameters $η$ and $λ$ that measure rotational and particle-hole asymmetries are closely energy-dependent and exhibit considerably abundant behaviors depending upon the fates of fermion-fermion couplings and different types of impurities. Incidentally, as both $η$ and $λ$ can be remarkably increased or heavily reduced in the low-energy regime, an asymmetric system under certain restricted conditions exhibits an interesting phenomenon in which transitions either from rotational or particle-hole asymmetry to symmetric situation would be activated.

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