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arXiv 1808.08178cond-mat.mtrl-sci
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费米表面拓扑的磁电阻效应

Magnetoresistance from Fermi Surface Topology

Sheng Nan Zhang, Quan Sheng Wu, Yi Liu, Oleg V. Yazyev

摘要:

极大的非饱和磁阻最近已被报道为大量的拓扑平凡和非平凡的材料。人们提出了不同的机制来解释观测到的磁输运特性,但没有得出明确的结论或描绘一个全球性的画面。在这项工作中,我们调查的横向磁电阻的材料相结合的费米表面计算的第一性原理与玻尔兹曼输运理论的方法依赖于半经典模型和弛豫时间近似。我们首先考虑一系列简单的模型费米面提供一个教学介绍到电荷载流子补偿和开放轨道机制,导致非饱和磁阻。然后,我们详细讨论了三种代表性材料的磁输运:(i)铜,一种原型的接近自由电子的金属,其特征在于导致复杂的角磁阻的开放费米表面,(ii)铋,一种拓扑上平凡的半金属,其中已知非常大的磁阻由电荷载流子补偿产生,以及(iii)二磷化钨WP 2,一种最近发现的第二类外尔半金属,保持着化合物中磁阻的记录。在所有这三种情况下,我们的计算显示出良好的协议与磁场的依赖性的磁阻和在低温下测量的各向异性。此外,计算允许的费米表面拓扑结构方面的观察到的功能的充分解释。这些结果将有助于解决一些悬而未决的问题,如拓扑相在拓扑材料中观察到的明显的大非饱和磁阻的作用。

英文摘要:

Extremely large non-saturating magnetoresistance has recently been reported for a large number of both topologically trivial and non-trivial materials. Different mechanisms have been proposed to explain the observed magnetotransport properties, yet without arriving to definitive conclusions or portraying a global picture. In this work, we investigate the transverse magnetoresistance of materials by combining the Fermi surfaces calculated from first principles with the Boltzmann transport theory approach relying on the semiclassical model and the relaxation time approximation. We first consider a series of simple model Fermi surfaces to provide a didactic introduction into the charge-carrier compensation and open-orbit mechanisms leading to non-saturating magnetoresistance. We then address in detail magnetotransport in three representative materials: (i) copper, a prototypical nearly free-electron metal characterized by the open Fermi surface that results in an intricate angular magnetoresistance, (ii) bismuth, a topologically trivial semimetal in which very large magnetoresistance is known to result from charge-carrier compensation, and (iii) tungsten diphosphide WP2, a recently discovered type-II Weyl semimetal that holds the record of magnetoresistance in compounds. In all three cases our calculations show excellent agreement with both the field dependence of magnetoresistance and its anisotropy measured at low temperatures. Furthermore, the calculations allow for a full interpretation of the observed features in terms of the Fermi surface topology. These results will help addressing a number of outstanding questions, such as the role of the topological phase in the pronounced large non-saturating magnetoresistance observed in topological materials.

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