论文标题
具有强库仑疾病的Weyl半含量的量子磁力
Quantum magnetoresistance of Weyl semimetals with strong Coulomb disorder
论文作者
论文摘要
我们研究了低温下Weyl半含量的横向磁力障碍的强大库仑障碍。使用示意技术和Keldysh模型来总结图表扩展中的主要术语，我们发现线性磁倍率由于库仑相互作用的远距离性质$ρ_{xx} \ propto h \ h \ ln（eh \ hbar v^2/ct^2/ct^2/ct^2/ct^2/c）而表现出很强的重新归一化化。 ωα^{ - 1/6} \ ll t _ {\ rm imp} \ llω/α^{ - 3/4} $，其中$ω= v \ sqrt {2eh \ hbar \ hbar/c} $是Zeroth and Zeroth and Zeroth and Zeroth和第一个Landau级别之间的距离， vn^{1/3} _ {\ rm imp} $根据杂质浓度$ n $和费米速度$ v $，以及$α= e^2/\ hbar v $来测量杂质潜力的强度。随着疾病变得更加强（但仍处于参数范围内，可以将库仑相互作用视为长距离的范围），我们发现磁倍率在磁场中占二次$ρ_{xx} \ propto h^2 $。
We study the effects a strong Coulomb disorder on the transverse magnetoresistance in Weyl semimetals at low temperatures. Using the diagrammatic technique and the Keldysh model to sum up the leading terms in the diagrammatic expansion, we find that the linear magnetoresistance exhibits a strong renormalization due to the long-range nature of the Coulomb interaction $ρ_{xx} \propto H\ln(eH\hbar v^2/cT^2_{\rm imp}),\ \ Ωα^{-1/6}\ll T_{\rm imp}\ll Ω/α^{-3/4}$, where $Ω= v\sqrt{2eH\hbar/c}$ is the distance between the zeroth and the first Landau levels, $T_{\rm imp}=\hbar vn^{1/3}_{\rm imp}$ measures the strength of the impurity potential in terms of the impurity concentration $n$ and the Fermi velocity $v$, and $α= e^2/\hbar v$ is the effective fine structure constant of the material. As disorder becomes even stronger (but still in the parametric range, where the Coulomb interaction can be treated as a long-range one), we find that the magnetoresistivity becomes quadratic in the magnetic field $ρ_{xx}\propto H^2$.
