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The intricate interplay between magnetism and the topology of electronic structures provides a rich avenue for tailoring materials with unique and potent anomalous transport properties. In this paper, we present a strategy for inducing…

Materials Science · Physics 2024-12-04 Subhadip Pradhan , Kartik Samanta , Ashis K. Nandy

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

Two-dimensional materials are a fertile ground for exploring quantum geometric phenomena, with Berry curvature and its first moment, the Berry curvature dipole, playing a central role in their electronic response. These geometric properties…

The non-linear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of non-centrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The…

Materials Science · Physics 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

The ability to control and manipulate time-reversal ($T$) symmetry-breaking phases with near-zero net magnetization is a sought-after goal in spintronic devices. The recently discovered hexagonal altermagnet manganese telluride…

Altermagnets break time-reversal symmetry, preserve the crystal translation invariance, and have a spin density with $d$-wave, $g$-wave, etc. momentum dependencies which do not contribute to the magnetization. When an $s$-wave spin-density…

Materials Science · Physics 2025-05-07 Keigo Takahashi , Charles R. W. Steward , Masao Ogata , Rafael M. Fernandes , Jörg Schmalian

In this paper, the anomalous Hall effect of topologically-nontrivial MXenes, $M_2M'$C$_2$O$_2$, and the electronic structure in the presence of magnetic proximity effect is theoretically investigated. The theoretical analysis is performed…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Tetsuro Habe

The intrinsic anomalous Hall effect (IAHE) provides a powerful transport fingerprint of quantum magnets, with its linear and second-order responses distinguishing ferromagnets and $\mathcal{P}\mathcal{T}$-symmetric antiferromagnets,…

Materials Science · Physics 2026-04-30 Longjun Xiang , Hao Jin , Jian Wang

The planar Hall effect in 3D systems is an effective probe for their Berry curvature, topology, and electronic properties. However, the Berry curvature-induced conventional planar Hall effect is forbidden in 2D systems as the out-of-plane…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Koushik Ghorai , Sunit Das , Harsh Varshney , Amit Agarwal

The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

Time-reversal symmetry breaking is the basic physics concept underpinning many magnetic topological phenomena such as the anomalous Hall effect (AHE) and its quantized variant. The AHE has been primarily accompanied by a ferromagnetic…

We conducted a comprehensive analysis of the magnetic and electronic transport properties of the layered chalcogenide Cr$_{1+\delta}$Te$_2$ in its single crystalline form. This material exhibits a ferromagnetic transition at a critical…

Charge-spin interconversion in magnetic materials is investigated by using first-principles calculations. In addition to the conventional spin Hall effect (SHE) that requires mutual orthogonality of the charge current, spin-flow direction,…

Materials Science · Physics 2022-08-11 Ping Li , Jing-Zhao Zhang , Zhi-Xin Guo , Tai Min , X. R. Wang

The two-dimensional quantum anomalous Hall (QAH) effect is direct evidence of non-trivial Berry curvature topology in condensed matter physics. Searching for QAH in 2D materials, particularly with simplified fabrication methods, poses a…

Mesoscale and Nanoscale Physics · Physics 2024-04-22 Yueh-Ting Yao , Suyang Xu , Tay-Rong Chang

The observation of a Hall effect, a finite transverse voltage induced by a longitudinal current, usually requires the breaking of time-reversal symmetry, for example through the application of an external magnetic field or the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Patrick W. Krantz , Alexander Tyner , Pallab Goswami , Venkat Chandrasekhar

Layer-polarized anomalous Hall effect (LP-AHE), derived from the coupling between Berry curvature and layer degree of freedom, is of importance for both fundamental physics and device applications. Nonetheless, the current research paradigm…

Materials Science · Physics 2022-06-24 Ting Zhang , Xilong Xu , Baibiao Huang , Ying Dai , Liangzhi Kou , Yandong Ma

To justify the origin of anomalous Hall effect (AHE), it is highly desirable to have the system parameters tuned continuously. By quantitative calculations, we show that the doping dependent sign reversal in CuCr$_{2}$Se$_{4-x}$Br$_{x}$,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yugui Yao , Yongcheng Liang , Di Xiao , Qian Niu , Shun-Qing Shen , X. Dai , Zhong Fang

The topological properties of a material's electronic structure are encoded in its Berry curvature, a quantity which is intimately related to the transverse electrical conductivity. In transition metal dichalcogenides with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Fei Xue , V. P. Amin , P. M. Haney

Engineering the anomalous Hall effect (AHE) in the emerging magnetic topological insulators (MTIs) has great potentials for quantum information processing and spintronics applications. In this letter, we synthesize the epitaxial Bi2Te3/MnTe…

Recent experimental evidence for the quantum spin Hall (QSH) state in monolayer WTe$_2$ has bridged two of the most active fields of condensed matter physics, 2D materials and topological physics. This 2D topological crystal also displays…

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