Photon-modulated linear and nonlinear anomalous Hall effects in type-II semi-Dirac semimetals

Chen, Jin-Na; Yang, Yanyan; Zhou, Yunfeng; Wu, Yong-Jia; Duan, Hou-Jian; Deng, Ming-Xun; Wang, Rui-Qiang

doi:10.1103/physrevb.105.085124

Cited by 7 publications

(2 citation statements)

References 81 publications

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“…在过去的几年里, 从有能隙的拓扑绝缘体到各种无能隙的拓扑半金属, 物质的拓扑相受到了极大的关注 [47−49] . 外尔半金属作为三维拓扑半金属的一个典型例子, 在理论 [33][34][35]50,51] 和实验 [52−54] 方面都得到了广泛研究. 外尔半金属在外尔点附近激发的外尔费米子具有线性色散关系, 并且费米面包围的贝里通量在外尔点附近被量子化.…”

Section: 外尔半金属中的线性平面霍尔效应unclassified

Planar Hall effect in topological materials

Ba,

Chen,

Duan

et al. 2023

Acta Phys. Sin.

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The planar Hall effect (PHE) is one of the hot topics in the field of condensed matter physics. In recent years, the PHE has received great attention especially in topological materials such as topological insulators and topological semimetals, and great progress has been made. Different from the ordinary Hall effect, the transverse current, magnetic field, and electric field in the PHE can appear in the same plane and cannot be explained by the Lorentz force, which largely depends on the anisotropy of the magnetoresistivity. With the development of nonlinear effect in topological materials, the PHE has been extended to a nonlinear regime, which has also been extensively studied in experiments. To explain the linear and nonlinear PHE observed in experiments, various microscopic mechanisms have been proposed theoretically. In this review, we introduce the research progress about the linear and nonlinear PHEs of topological materials in theory and experiment aspects, and deeply analyze the various extrinsic and intrinsic mechanisms leading to the linear and nonlinear PHEs. The physical mechanisms of the linear PHE mainly include the tilt of Dirac cone, magnon scattering, chiral anomaly (or chiral-anomaly-like), shift effect, and Berry curvature, whereas ones of the nonlinear PHE mainly include the nonlinear Drude term, shift effect, Berry curvature dipole, magnon scattering, chiral anomaly, and Berry-connection polarizability. In addition, we propose the related problems to be solved and the future development directions.

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Section: 外尔半金属中的线性平面霍尔效应unclassified

Planar Hall effect in topological materials

Ba,

Chen,

Duan

et al. 2023

Acta Phys. Sin.

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“…Additionally, the importance of spinorbit coupling in layered organic salts has also been studied via a Hamiltonian with tilted band structure [31,32]. Explicit inversion symmetry breaking and anisotropic terms are also present in other families of materials, such as Weyl semimetals [33] with broken tilt inversion symmetry, where second harmonic generation has been recently studied [34], and type-II semi-Dirac semimetals [35][36][37], where it has been shown that linear and nonlinear anomalous Hall effects can be manipulated via circularly polarized light [38].…”

Section: Introductionmentioning

confidence: 99%

Excitonic instability in transition metal dichalcogenides

Quintela

Costa

Peres

2022

J. Phys.: Condens. Matter

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When transition-metal dichalcogenide monolayers lack inversion symmetry, their low-energy single particle spectrum near some high--symmetry points can, in some cases, be described by tilted massive Dirac Hamiltonians. The so-called Janus materials fall into that category. Inversion symmetry can also be broken by the application of out-of-plane electric fields, or by the mere presence of a substrate. Here we explore the properties of excitons in TMDC monolayers lacking inversion symmetry. We find that exciton binding energies can be larger than the electronic band gap, making such materials promising candidates to host the elusive exciton insulator phase. We also investigate the excitonic contribution to their optical conductivity and discuss the associated optical selection rules.

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