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arXiv 1003.2997cond-mat.mes-hallcond-mat.other
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纵向磁阻的充要条件

Necessary and sufficient condition for longitudinal magnetoresistance

H. K. Pal, D. L. Maslov

摘要:

由于洛伦兹力垂直于磁场,它不应该影响电荷沿磁场的运动。这一论点似乎意味着缺乏纵向磁阻(LMR),然而,在许多材料中观察到的和复制的标准半经典输运理论适用于特定的金属。我们推导出非零LMR费米面形状的一个充分必要条件。虽然各向异性光谱是LMR的先决条件,但并非所有类型的各向异性都能产生这种效应:光谱在任何意义上都不应该是可分离的。更准确地说,组合$k_ρv_ϕ/v_ρ$应该取决于沿磁场的动量,其中$k_ρ$是z轴沿磁场的圆柱系统中动量的径向分量,而$v_ρ (v_ϕ$是速度的径向(切向)分量。对于某些晶格类型,这个条件已经在最近邻跳变的水平上得到满足;对于其他晶格类型,所需的非分离性只有在考虑到下一个最近邻跳变时才发生。

英文摘要:

Since the Lorentz force is perpendicular to the magnetic field, it should not affect the motion of a charge along the field. This argument seems to imply absence of longitudinal magnetoresistance (LMR) which is, however, observed in many materials and reproduced by standard semiclassical transport theory applied to particular metals. We derive a necessary and sufficient condition on the shape of the Fermi surface for non-zero LMR. Although an anisotropic spectrum is a pre-requisite for LMR, not all types of anisotropy can give rise to the effect: a spectrum should not be separable in any sense. More precisely, the combination $k_ρv_ϕ/v_ρ$, where $k_ρ$ is the radial component of the momentum in a cylindrical system with the z-axis along the magnetic field and $v_ρ (v_ϕ$) is the radial (tangential) component of the velocity, should depend on the momentum along the field. For some lattice types, this condition is satisfied already at the level of nearest-neighbor hopping; for others, the required non-separabality occurs only if next-to-nearest-neighbor hopping is taken into account.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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