AI 中文总结
该研究针对外尔半金属磁输运问题,发展非微扰半经典理论,获磁场所有阶封闭表达式,揭示其红外敏感性及磁场展开与动量积分不交换,确定低载流子密度或中等磁场下磁输运非微扰,无法用传统弱场展开描述。
AI 中文摘要
我们发展了一种外尔半金属磁输运的非微扰半经典理论,在存在贝里曲率和轨道磁矩效应时保留了费米面电导率对磁场的完整依赖性。我们得到了在半经典区域内对磁场所有阶都有效的封闭形式表达式。结果表明精确的连续体公式表现出与轨道磁矩奇异行为相关的固有红外敏感性,需要有物理动机的正则化。虽然完整的电导率张量简化为标准的二次磁导率,但磁场展开和动量积分不交换,导致标量输运系数层面的非解析贡献。我们的结果确定了一个与低载流子密度或中等磁场相关的区域,其中磁输运本质上是非微扰的,不能用传统的弱场展开来描述。
英文摘要
We develop a nonperturbative semiclassical theory of magnetotransport in Weyl semimetals, retaining the full magnetic-field dependence of the Fermi-surface conductivity in the presence of Berry curvature and orbital magnetic moment effects. We obtain closed-form expressions valid to all orders in the magnetic field within the semiclassical regime. We show that the exact continuum formulation exhibits an intrinsic infrared sensitivity associated with the singular behavior of the orbital magnetic moment, requiring a physically motivated regularization. While the full conductivity tensor reduces to the standard quadratic magnetoconductivity, we demonstrate that magnetic-field expansion and momentum integration do not commute, leading to nonanalytic contributions at the level of scalar transport coefficients. Our results identify a regime, relevant for low carrier densities or moderate magnetic fields, where magnetotransport becomes intrinsically nonperturbative and cannot be captured by conventional weak-field expansions.
CommentsAccepted for publication in Journal of Physics: Condensed Matter