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We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field $B(x)$. First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second,…

Mesoscale and Nanoscale Physics · Physics 2021-10-28 Botsz Huang , Ali G. Moghaddam , Jorge I. Facio , Ching-Hao Chang

Quantum Anomalous Hall (QAH) state in six quintuple layer Cr$_{0.1}$(Bi$_{0.2}$Sb$_{0.8}$)$_{1.9}$Te$_3$ thin films were studied through scanning tunneling spectroscopy (STS) and electrical transport measurements. While the surface state is…

Can a generic magnetic insulator exhibit a Hall current? The quantum anomalous Hall effect (QAHE) is one example of an insulating bulk carrying a quantized Hall conductivity and other insulators (with zero Chern number) present zero Hall…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Daniel Kaplan , Tobias Holder , Binghai Yan

We predict a giant cyclotron resonance in the nonlinear valley Hall response of inversion-asymmetric two-dimensional semiconductors subjected to crossed terahertz electric and static magnetic fields. By employing a two-band Hamiltonian that…

Mesoscale and Nanoscale Physics · Physics 2026-04-13 V. N. Ivanova , V. M. Kovalev , I. G. Savenko

The Dirac mass of a two-dimensional QAH insulator is directly related to the parity anomaly of planar quantum electrodynamics, as shown initially in Phys. Rev. Lett. 52, 18 (1984). In this work, we connect the additional momentum-dependent…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Christian Tutschku , Jan Böttcher , René Meyer , E. M. Hankiewicz

The quantized version of the anomalous Hall effect has been predicted to occur in magnetic topological insulators, but the experimental realization has been challenging. Here, we report the observation of the quantum anomalous Hall (QAH)…

A circularly polarized light can induce a dissipationless dc current in a quantum nanoring which is responsible for a resonant helicity-driven contribution to magnetic moment. This current is not suppressed by thermal averaging despite its…

Mesoscale and Nanoscale Physics · Physics 2015-12-30 K. L. Koshelev , V. Yu. Kachorovskii , M. Titov

The Hall effect, in which current flows perpendicular to an applied electrical bias, has played a prominent role in modern condensed matter physics over much of the subject's history. Appearing variously in classical, relativistic and…

Materials Science · Physics 2021-07-08 Libor Smejkal , Allan H. MacDonald , Jairo Sinova , Satoru Nakatsuji , Tomas Jungwirth

The development of quantum materials and the tailoring of their functional properties is of fundamental interest in materials science. Here, a new design concept is proposed for the robust quantum anomalous Hall effect via entropy…

Mesoscale and Nanoscale Physics · Physics 2025-06-05 Syeda Amina Shabbir , Frank Fei Yun , Muhammad Nadeem , Xiaolin Wang

Detecting the orientation of the N\'eel vector is a major research topic in antiferromagnetic spintronics. Here we recognize the intrinsic nonlinear Hall effect, which is independent of the relaxation time, as a prominent contribution to…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Chong Wang , Yang Gao , Di Xiao

We study the time-development processes of spin and charge transport phenomena in a topological Dirac semimetal attached to a ferromagnetic insulator with a precessing magnetization. Compared to conventional normal metals, topological Dirac…

Materials Science · Physics 2020-01-01 Takahiro Misawa , Kentaro Nomura

We consider the vortex state of d-wave superconductors in the clean limit. Within the linearized approximation the quasiparticle bands obtained are found to posess Dirac cone dispersion (band touchings) at special points in the Brillouin…

Superconductivity · Physics 2009-11-07 Ashvin Vishwanath

Magnetoresistance in many samples of Dirac semimetal and topological insulator displays non-monotonic behaviors over a wide range of magnetic field. Here a formula of magnetoconductivity is presented for massless and massive Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Bo Fu , Huan-Wen Wang , Shun-Qing Shen

We propose a framework for applying on-shell scattering amplitude methods to emergent relativistic phases of quantum matter. Many strongly correlated systems, from Dirac and Weyl semimetals to topological-insulator surfaces, exhibit…

Strongly Correlated Electrons · Physics 2025-11-10 Jeff Murugan

We study the quantum Hall effect of Dirac fermions on the surface of a Wilson-Dirac type topological insulator thin film in the strong topological insulating phase. Although a magnetic field breaks time reversal symmetry of the bulk, the…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Takeshi Furusawa , Takahiro Fukui

The prospect of a Dirac half metal, a material which is characterized by a bandstructure with a gap in one spin channel but a Dirac cone in the other, is of both fundamental interest and a natural candidate for use in spin-polarized current…

Strongly Correlated Electrons · Physics 2015-11-23 Yuanchang Li , Damien West , Huaqing Huang , Jia Li , S. B. Zhang , Wenhui Duan

Dirac fermions are actively investigated, and the discovery of the quantized anomalous Hall effect of massive Dirac fermions has spurred the promise of low-energy electronics. Some materials hosting Dirac fermions are natural platforms for…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Hong Liu , Weizhe Edward Liu , Dimitrie Culcer

We engineer quantum anomalous Hall effect in silicene via doping 3d transition metals. We show that there exists a stable quantum anomalous Hall effect in Vanadium doped silicene using both analytical model and Wannier interpolation. We…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Xiao-Long Zhang , Lan-Feng Liu , Wu-Ming Liu

A brief introduction to topological phases is provided, considering several two-band Hamiltonians in one- and two-dimensions. Relevant concepts of the topological insulator theory, such as: Berry phase, Chern number, and the quantum…

Strongly Correlated Electrons · Physics 2017-01-31 Leandro O. Nascimento

Inspired by the discovery of quantum hall effect and topological insulator, topological properties of classical waves start to draw worldwide attention. Topological non-trivial bands characterized by non-zero Chern numbers are realized with…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Meng Xiao , Wen-Jie Chen , Wen-Yu He , Z. Q. Zhang , C. T. Chan
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