无质量Dirac费米子动力学极化函数中的斜锥诱导尖点和非单调结构
Tilted-Cone Induced Cusps and Nonmonotonic Structures in Dynamical Polarization Function of Massless Dirac Fermions
摘要：
利用倾斜Weyl方程研究了有机导体中存在的倾斜Dirac锥电子的极化函数。基于对粒子-空穴激发的解析处理，探讨了其动力学性质。结果表明，极化函数作为频率和动量的函数呈现尖点和非单调结构。极化函数不仅与外动量的大小有关，而且与外动量的方向有关。这些性质是倾斜狄拉克锥的特征，并与石墨烯的各向同性情况形成对比。进一步，将所得结果应用于计算了倾斜锥对等离子体的光学电导率、等离子体频率和库仑相互作用的屏蔽等问题。
英文摘要：
The polarization function of electrons with the tilted Dirac cone found in organic conductors is studied using the tilted Weyl equation. The dynamical property is explored based on the analytical treatment of the particle-hole excitation. It is shown that the polarization function as the function of both the frequency and the momentum exhibits cusps and nonmonotonic structures. The polarization function depends not only on the magnitude but also the direction of the external momentum. These properties are characteristic of the tilted Dirac cone, and are contrast to the isotropic case of grapheme. Further, the results are applied to calculate the optical conductivity, the plasma frequency and the screening of Coulomb interaction, which are also strongly influenced by the tilted cone.
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