二维肮脏倾斜Dirac半金属的phase diagram
The phase diagram of a two-dimensional dirty tilted Dirac semimetal
摘要：
研究了二维非相互作用倾斜狄拉克半金属中淬火无序的影响。根据倾斜参数的大小，系统可以有费米点（I型）或费米线（II型）。一般来说，二维狄拉克费米子有三种不同类型的无序，即随机标量势、沿倾斜方向和垂直于倾斜方向的随机矢量势和随机质量。我们用重整化群来研究弱无序的影响，重整化群是通过积分出具有大能量的模而不是大动量的模来进行的。由于低能自由度的参数化依赖于费米面的结构，所得到的单圈重整化群方程依赖于倾斜狄拉克费米子的类型。当无序是一个边缘微扰时，我们用复制场论的平均场近似或一阶玻恩近似来研究它在低能物理中的作用。基于我们的分析，我们提出了二维倾斜狄拉克费米子在不同类型无序存在下的相图。
英文摘要：
We investigate the effects of quenched disorder on a non-interacting tilted Dirac semimetal in two dimensions. Depending on the magnitude of the tilting parameter, the system can have either Fermi points (type-I) or Fermi lines (type-II). In general, there are three different types of disorders for Dirac fermions in two dimensions, namely, the random scalar potential, the random vector potentials along and perpendicular to the tilting direction, and the random mass. We study the effects of weak disorder in terms of the renormalization group, which is performed by integrating out the modes with large energies, instead of large momenta. Since the parametrization of the low-energy degrees of freedom depends on the structure of the Fermi surface, the resulting one-loop renormalization-group equations depend on the type of tilted Dirac fermions. Whenever the disorder is a marginal perturbation, we examine its role on low-energy physics by a mean-field approximation of the replica field theory or the first-order Born approximation. Based on our analysis, we suggest the phase diagrams of a two-dimensional tilted Dirac fermion in the presence of different types of disorder.
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