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The topological nature of topological insulators are related to the symmetries present in the material, for example, quantum spin Hall effect can be observed in topological insulators with time reversal symmetry, while broken time reversal…

Anomalous Hall effect (AHE), a protocol of various low-power dissipation quantum phenomena and a fundamental precursor of intriguing topological phases of matter, is usually observed in ferromagnetic materials with orthogonal configuration…

介观与纳米尺度物理 · 物理学 2023-04-27 Jin Cao , Wei Jiang , Xiao-Ping Li , Daifeng Tu , Jiadong Zhou , Jianhui Zhou , Yugui Yao

This article reviews the main contributions to the anomalous Hall effect and its resurgence in the past three decades, which has been accompanied by the rise of topological phenomena and topological materials. I will show that the anomalous…

介观与纳米尺度物理 · 物理学 2022-09-20 Dimitrie Culcer

A finite equilibrium current density arises in the anomalous Hall effect (AHE) as a result of time-reversal symmetry breaking, affecting both the differential current density and total current. This study illustrates the equilibrium current…

介观与纳米尺度物理 · 物理学 2024-12-12 Ning Dai , Bin Zhou

We investigate anomalous Hall effect in a magnet coupled to a triplet superconductor under phase gradient. It is found that the anomalous Hall supercurrent arises from non-trivial structure of the magnetization. The magnetic structure…

介观与纳米尺度物理 · 物理学 2015-11-17 Takehito Yokoyama

We employ a quantum Liouville equation with relaxation to model the recently observed anomalous Hall effect in graphene irradiated by an ultrafast pulse of circularly polarized light. In the weak-field regime, we demonstrate that the Hall…

介观与纳米尺度物理 · 物理学 2019-06-19 S. A. Sato , J. W. McIver , M. Nuske , P. Tang , G. Jotzu , B. Schulte , H. Hübener , U. De Giovannini , L. Mathey , M. A. Sentef , A. Cavalleri , A. Rubio

Recently, the planar Hall effect has attracted tremendous interest. In particular, an in-plane magnetization can induce an anomalous planar Hall effect with a $2\pi/3$ period for hexagon-warped energy bands. This effect is similar to the…

介观与纳米尺度物理 · 物理学 2023-07-31 C. M. Wang , Z. Z. Du , Hai-Zhou Lu , X. C. Xie

A brief review is given on the spin Hall effect, where an external electric field induces a transverse spin current. It has been recognized over 30 years that such effect occurs due to impurities in the presence of spin-orbit coupling.…

介观与纳米尺度物理 · 物理学 2007-05-23 Shuichi Murakami

Recent experiment [S.I. Dorozhkin et al., Phys. Rev. Lett. 102, 036602 (2009)] on quantum Hall structures with strongly asymmetric contact configuration discovered microwave-induced photocurrent and photovoltage magnetooscillations in the…

介观与纳米尺度物理 · 物理学 2009-09-28 I. A. Dmitriev , S. I. Dorozhkin , A. D. Mirlin

The anomalous Hall effect is deemed to be a unique transport property of ferromagnetic metals, caused by the concerted action of spin polarization and spin-orbit coupling. Nevertheless, recent experiments have shown that the effect also…

介观与纳米尺度物理 · 物理学 2016-04-06 Steven S. -L. Zhang , Giovanni Vignale

We propose an intrinsic nonlinear planar Hall effect, which is of band geometric origin, independent of scattering, and scales with the second order of electric field and first order of magnetic field. We show that this effect is less…

介观与纳米尺度物理 · 物理学 2023-04-05 Yue-Xin Huang , Xiaolong Feng , Hui Wang , Cong Xiao , Shengyuan A. Yang

It is proposed that the new generation of spintronics should be ideally massless and dissipationless for the realization of ultra-fast and ultra-low-power spintronic devices. We demonstrate that the spin-gapless materials with linear energy…

介观与纳米尺度物理 · 物理学 2017-02-14 Xiao-lin Wang

We identify an intrinsic mechanism of the anomalous Hall effect for non-symmorphic chiral superconductors. This mechanism relies on both a nontrivial multi-band chiral superconducting order parameter, which is a mixture of pairings of even…

超导电性 · 物理学 2017-11-22 Zhiqiang Wang , John Berlinsky , Gertrud Zwicknagl , Catherine Kallin

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

介观与纳米尺度物理 · 物理学 2025-11-04 Benjamin Michen , Jan Carl Budich

We numerically investigate the second-order nonlinear Hall transport properties of a four-terminal system with time-reversal symmetry and broken inversion symmetry. Within the nonequilibrium Green's function formalism, the second-order…

介观与纳米尺度物理 · 物理学 2022-03-17 Miaomiao Wei , Bin Wang , Yunjin Yu , Fuming Xu , Jian Wang

Topological matter is a trending topic in condensed matter: From a fundamental point of view it has introduced new phenomena and tools, and for technological applications, it holds the promise of basic stable quantum computing. Similarly,…

无序系统与神经网络 · 物理学 2016-08-29 Eduardo V. Castro , Raphael de Gail , M. Pilar López-Sancho , María A. H. Vozmediano

We show that the quantum anomalous Hall effect almost always occurs in magnetic topological insulator thin films whenever the top and bottom surface layer magnetizations are parallel, independent of the interior layer magnetization…

介观与纳米尺度物理 · 物理学 2022-12-07 Chao Lei , Olle Heinonen , R. J. McQueeney , A. H. MacDonald

The flow of electric current through a two-dimensional material in a magnetic field gives rise to the family of Hall effects. The quantum versions of these effects accommodate robust electronic edge channels and fractional charges.…

强关联电子 · 物理学 2023-09-21 Robert Peters , Jannis Neuhaus-Steinmetz , Thore Posske

Intrinsic Hall effects, such as the anomalous Hall effect, originate from the orbital quantum geometry of Bloch states. However, in layered materials, the combined action of out-of-plane electric and magnetic fields couples to layer…

介观与纳米尺度物理 · 物理学 2026-04-23 Sunit Das , Amit Agarwal

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

介观与纳米尺度物理 · 物理学 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald