任意空间维倾斜狄拉克费米子的带内纵向光电导的推导

Intraband longitudinal optical conductivity of tilted Dirac fermions in arbitrary spatial dimensionality

狄拉克费米子是当前凝聚态物理中的研究热点.狄拉克费米子的纵向光电导,因其能够提取能带结构信息而被广泛关注.本文基于低能有效模型与线性响应理论,利用生成函数方法,解析地处理零温下任意空间维、任意倾斜相的狄拉克费米子的带内纵向光电导.特别地,我们讨论了二维和三维空间情况,并揭示了不同维度的倾斜类型对带内纵向光电导的影响.文中发展的生成函数方法有望用于其他相关问题的研究.

Dirac fermion is one of the current research topics in condensed matter physics.The longitudinal optical conductivity(LOC)of Dirac fermion has attracted much attention because of its ability to extract band structure information.Based on the low-energy effective model and linear response theory,this paper uses the generating function method to analytically process the intraband LOCs of Dirac fermions in arbitrary spatial dimension and of tilted phase at zero temperature.In particular,we discuss the two-dimensional and three-dimensional spatial situations and reveal the influence of the tilted types from different dimensions on the intraband LOCs.The generating function method developed in this paper is expected to be applied to other related problems.