论文标题
关于Abrikosov的量子线性磁磁性的起源
On the origin of Abrikosov's quantum linear magnetoresistance
论文作者
论文摘要
预计用Weyl光谱进行补偿的半法将显示其在量化磁场时的不饱和线性生长。 Abrikosov引入了这种所谓的量子线性磁场，但是该理论中使用的近似值仍然很差，通常会引起对分析适用的实验情况的混乱。在这里，我们使用基于回旋轨道的扩散在随机电势中的扩散来得出Abrikosov的确切结果。我们表明，在磁性长度的尺度上，Weyl光谱和障碍都是该理论有效性的必要条件，而线性磁倍率出现在极端的量子极限中，而只有Zeroth Landau水平一半填充。它是Weyl费米子的相对论性质与它们的回旋子中心的经典动力学之间的相互作用，从而导致线性磁倍率。我们还在二维中得出了一个类似的结果，文献中已经缺少，并且与众多基于石墨烯的系统相关。
Compensated semimetals with Weyl spectra are predicted to exhibit unsaturated linear growth of their resistivity in quantizing magnetic fields. This so-called quantum linear magnetoresistance was introduced by Abrikosov, but approximations used in the theory remained poorly specified, often causing a confusion about experimental situations in which the analysis is applicable. Here we derive Abrikosov's exact result using an alternative formalism based on diffusion of cyclotron orbits in a random potential. We show that both Weyl spectrum and a disorder smooth on the scale of the magnetic length are essential conditions for the validity of the theory, and the linear magnetoresistance appears in the extreme quantum limit where only the zeroth Landau level is half filled. It is the interplay between the relativistic-like nature of Weyl fermions and the classical dynamics of their cyclotron centers, which leads to the linear magnetoresistance. We also derive an analogous result in two dimensions, which has been missing in the literature and is relevant for numerous graphene-based systems.
