Geometry, anomaly, topology, and transport in Weyl fermions.

IF 2.3 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER
Azaz Ahmad, Gautham Varma K, Gargee Sharma
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Abstract

Weyl fermions are one of the simplest objects that link ideas in geometry and topology to high-energy physics and condensed matter physics. Although the existence of Weyl fermions as elementary particles remains dubious, there is mounting evidence of their existence as quasiparticles in certain condensed matter systems. Such systems are termed Weyl semimetals (WSMs). Needless to say, WSMs have emerged as a fascinating class of materials with unique electronic properties, offering a rich playground for both fundamental research and potential technological applications. This review examines recent advancements in understanding electron transport in WSMs. We begin with a pedagogical introduction to the geometric and topological concepts critical to understanding quantum transport in Weyl fermions. We then explore chiral anomaly, a defining feature of WSMs, and its impact on transport phenomena such as longitudinal magnetoconductance and planar Hall effect. The Maxwell-Boltzmann transport theory extended beyond the standard relaxation-time approximation is then discussed in the context of Weyl fermions, which is used to evaluate various transport properties. Attention is also given to the effects of strain-induced gauge fields and external magnetic fields in both time-reversal broken and inversion asymmetric inhomogeneous WSMs. The review synthesizes theoretical insights, experimental observations, and numerical simulations to provide a comprehensive understanding of the complex transport behaviors in WSMs, aiming to bridge the gap between theoretical predictions and experimental verification.

韦尔费米子的几何、反常、拓扑和传输。
韦尔费米子是将几何学和拓扑学思想与高能物理和凝聚态物理联系起来的最简单对象之一。尽管韦尔费米子作为基本粒子存在的可能性仍然存疑,但越来越多的证据表明它们作为准粒子存在于某些凝聚态物质系统中。这类系统被称为韦尔半金属(WSMs)。毋庸置疑,WSMs 已成为一类具有独特电子特性的迷人材料,为基础研究和潜在技术应用提供了丰富的舞台。本综述探讨了在理解{WSMs}中电子传输方面的最新进展。我们首先从教学角度介绍了对理解韦尔费米子量子输运至关重要的几何和拓扑概念。然后,我们探讨手性反常(CA)--WSM 的一个决定性特征--及其对纵向磁导(LMC)和平面霍尔效应(PHE)等输运现象的影响。然后,结合韦尔费米子讨论了超出标准弛豫时间近似的麦克斯韦尔-玻尔兹曼输运理论,该理论用于评估各种输运特性。此外,还关注了应变诱导的规场和外部磁场在时间反转破碎和反转不对称非均质 WSM 中的影响。这篇综述综合了理论见解、实验观察和数值模拟,提供了对 WSMs 中复杂输运行为的全面理解,旨在弥合理论预测与实验验证之间的差距。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Physics: Condensed Matter
Journal of Physics: Condensed Matter 物理-物理:凝聚态物理
CiteScore
5.30
自引率
7.40%
发文量
1288
审稿时长
2.1 months
期刊介绍: Journal of Physics: Condensed Matter covers the whole of condensed matter physics including soft condensed matter and nanostructures. Papers may report experimental, theoretical and simulation studies. Note that papers must contain fundamental condensed matter science: papers reporting methods of materials preparation or properties of materials without novel condensed matter content will not be accepted.
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