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In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We use magnetotransport in dual-gated magnetic topological insulator heterostructures to map out a phase diagram of the topological Hall and quantum anomalous Hall effects as a function of the chemical potential (primarily determined by the…

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Siddhartha Lal

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

Motivated by recent transport experiments, we theoretically study the quantum Hall effect in topological semimetal films. Owing to the confinement effect, the bulk subbands originating from the chiral Landau levels establish energy gaps…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 D. -H. -Minh Nguyen , Koji Kobayashi , Jan-Erik R. Wichmann , Kentaro Nomura

Quantum Hall effect (QHE) is a macroscopic manifestation of quantized states which only occurs in confined two-dimensional electron gas (2DEG) systems. Experimentally, QHE is hosted in high mobility 2DEG with large external magnetic field…

Materials Science · Physics 2018-10-17 Gang Qiu , Yixiu Wang , Yifan Nie , Yongping Zheng , Kyeongjae Cho , Wenzhuo Wu , Peide D. Ye

Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

Quantum anomalous Hall (QAH) effect in magnetic topological insulator (TI) is a novel transport phenomenon in which the Hall resistance reaches the quantum plateau in the absence of external magnetic field. Recently, this exotic effect has…

Doping a topological insulator (TI) film with transition metal ions can break its time-reversal symmetry and lead to the realization of the quantum anomalous Hall (QAH) effect. Prior studies have shown that the longitudinal resistance of…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Shu-Wei Wang , Di Xiao , Ziwei Dou , Moda Cao , Yi-Fan Zhao , Nitin Samarth , Cui-Zu Chang , Malcolm R. Connolly , Charles G. Smith

Quantum geometry, a quantum mechanical quantity comprised of Berry curvature and quantum metric, describes the geometric structure of the electronic bands in solids. The correlation between nontrivial quantum geometry and quantum materials…

Topological insulators doped with transition metals have recently been found to host a strong ferromagnetic state with perpendicular to plane anisotropy as well as support a quantum Hall state with edge channel transport, even in the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 S. Grauer , S. Schreyeck , M. Winnerlein , K. Brunner , C. Gould , L. W. Molenkamp

The interplay between magnetism and strong topological insulator gives rise to distinct new topological phases and various intriguing phenomena, attracting significant attention in recent years. However, magnetic effects in weak topological…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Rui Chen , Xiao-Xia Yi , Bin Zhou , Dong-Hui Xu

The mechanism of the anomalous Hall transport phenomena, if it is of the intrinsic or extrinsic origin, has been controversial. We present a unified theory of them for ferromagnetic metals with dilute impurities at the zero temperature, in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

We present a comparative study of the (magneto)transport properties, including Hall effect, of bulk, thin film and nanostructured MnSi. In order to set our results in relation to published data we extensively characterize our materials,…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 D. Schroeter , N. Steinki , M. Schilling , A. Fernández Scarioni , P. Krzysteczko , T. Dziomba , H. W. Schumacher , D. Menzel , S. Süllow

The quantum anomalous Hall (QAH) effect is conventionally understood to exist only in Chern insulators, while a recent study has shown that ferromagnetic metals can also host the QAH effect. Between insulators and metals, we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Peng-Yi Liu , Yu-Hao Wan , Qing-Feng Sun

We generalize the topological phase diagram of magnetic topological insulator (TI) thin films in an extended parameter space comprising out-of-plane (OP) and in-plane (IP) exchange fields in the presence of structural inversion asymmetry…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Kiminori Hattori

In this paper, we study transport properties of non-equilibrium systems under the application of light in many-terminal measurements, using the Floquet picture. We propose and demonstrate that the quantum transport properties can be…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Takuya Kitagawa , Takashi Oka , Arne Brataas , Liang Fu , Eugene Demler

Physical properties of anisotropic compressible quantum Hall states and their implications to integer quantum Hall effect are studied based on a mean field theory on the von Neumann lattice. It is found that the Hall gas has unusual…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Ishikawa , N. Maeda

Topology is key in describing unconventional quantum phases of matter and devising robust quantum technology. Exactly how topology mixes with quantum mechanics remains largely unclear, as testified by the lack of a unifying microscopic…

Mesoscale and Nanoscale Physics · Physics 2025-11-03 Eugenio DelRe , Paolo Di Porto

We study the photon-dressed electronic band structure of topological insulator thin films which could be also doped doped by magnetic impurities in response to an off-resonance time-periodic electromagnetic field. The thin films irradiated…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi , Ali Sadeghi