论文标题
疾病对Weyl半含量的横向磁倍率的影响
Effect of disorder on the transverse magnetoresistance of Weyl semimetals
论文作者
论文摘要
我们研究不同类型杂质产生的随机电位对Weyl半含量的横向磁力的影响。结果表明，磁磁性的磁场和温度依赖性受杂质潜力类型的强烈影响。详细分析了两个限制案例：（$ i $）超量子限制时，当应用磁场如此之高以至于只有零和第一个兰道水平有助于磁通转移，而（$ ii $）半典型的情况，大量的Landau级别发挥了作用。一种形式的图形方法使我们能够在两个限制下获得电导率张量的组件的表达式。与$δ$相关的疾病的过度简化情况相反，长期杂质潜力（包括库仑杂质的杂质）引入了额外的长度尺度，这改变了问题的几何形状和物理。结果表明，对于某些类别的杂质电势，磁阻可能会偏离线性行为，这是磁场的函数。
We study the effect of random potential created by different types of impurities on the transverse magnetoresistance of Weyl semimetals. It is shown that the magnetic field and temperature dependence of magnetoresistance is strongly affected by the type of impurity potential. Two limiting cases are analyzed in detail: ($i$) the ultra-quantum limit, when the applied magnetic field is so high that only the zeroth and first Landau levels contribute to the magnetotransport, and ($ii$) the semiclassical situation, for which a large number of Landau levels comes into play. A formal diagrammatic approach allowed us to obtain expressions for the components of the electrical conductivity tensor in both limits. In contrast to the oversimplified case of the $δ$-correlated disorder, the long-range impurity potential (including that of Coulomb impurities) introduces an additional length scale, which changes the geometry and physics of the problem. It is shown that the magnetoresistance can deviate from the linear behavior as a function of magnetic field for a certain class of impurity potentials.
