论文标题
{\ it倾斜}狄拉克锥材料的动力学理论
Kinetic theory of {\it tilted} Dirac cone materials
论文作者
论文摘要
我们为在两个空间维度上相互作用的倾斜dirac fermions制定了Boltzmann动力学方程，这些空间尺寸由倾斜参数$ 0 \leζ<1 $。求解线性化的玻尔兹曼方程，我们发现$κ（ζ）\ times（1-ζ^2）^{ - 1/2} $增强了drude极的宽阔，其中$κ$是交互诱导的增强因子。 drude极的强度也通过$（1-ζ^2）^{ - 1} $增强。无处不在的“红移”因子$（1-ζ^2）^{1/2} $可以视为这种固体中基础时空结构的表现。额外的扩展$κ$表明，在$ζ$变形的Minkowski时空的倾斜dirac费米子中的电子中的相互作用效果更为明显。
We formulate the Boltzmann kinetic equations for interacting tilted Dirac fermions in two space dimensions characterized by a tilt parameter $0\leζ<1$. Solving the linearized Boltzmann equation, we find that the broadening of the Drude pole is enhanced by $κ(ζ)\times(1-ζ^2)^{-1/2}$, where the $κ$ is interaction-induced enhancement factor. The intensity of the Drude pole is also anisotropically enhanced by $(1-ζ^2)^{-1}$. The ubiquitous "redshift" factors $(1-ζ^2)^{1/2}$ can be regarded as a manifestation of an underlying spacetime structure in such solids. The additional broadening $κ$ indicates that interaction effects are more pronounced for electrons in a $ζ$-deformed Minkowski spacetime of tilted Dirac fermions.
