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The unconventional (half-integer) quantum Hall effect for a single species of Dirac fermions is analyzed. We discuss possible experimental measurements of the half-integer Hall conductance $g_{xy}$ of topological insulator surface states…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 E. J. König , P. M. Ostrovsky , I. V. Protopopov , I. V. Gornyi , I. S. Burmistrov , A. D. Mirlin

Topological magnetic insulators host chiral gapless edge modes. In the presence of strong interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled insulating spin-1/2 chains, we show how spatially…

Strongly Correlated Electrons · Physics 2025-01-03 Even Thingstad , Pierre Fromholz , Flavio Ronetti , Daniel Loss , Jelena Klinovaja

Magnetically doped topological insulators have been extensively studied over the past decade as a material platform to exhibit quantum anomalous Hall effect. Most material realizations are magnetically doped and despite material advances…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Zhenisbek Tagay , Hee Taek Yi , Deepti Jain , Seongshik Oh , N. P. Armitage

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Shun-Qing Shen

Photoinduced topological phase transitions in the Dirac-electron systems have attracted intensive research interest since its theoretical prediction in graphene, where the application of circularly polarized light opens a gap at the Dirac…

Strongly Correlated Electrons · Physics 2022-09-27 Keisuke Kitayama , Masao Ogata , Masahito Mochizuki , Yasuhiro Tanaka

We report on the scaling behavior of V-doped (Bi,Sb)$_2$Te$_3$ samples in the quantum anomalous Hall regime for samples of various thickness. While previous quantum anomalous Hall measurements showed the same scaling as expected from a…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 S. Grauer , K. M. Fijalkowski , S. Schreyeck , M. Winnerlein , K. Brunner , R. Thomale , C. Gould , L. W. Molenkamp

Circularly polarised light opens a gap in the Dirac spectrum of graphene and topological insulator (TI) surfaces, thereby inducing a quantum Hall-like phase. We propose to detect the accompanying edge states and their current by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Jan P. Dahlhaus , Benjamin M. Fregoso , Joel E. Moore

In recent attempts to observe axion electrodynamics, much effort has focused on trilayer heterostructures of magnetic topological insulators, and in particular on the examination of a so-called zero Hall plateau, which has misguidedly been…

We propose to realize the quantum nonlinear Hall effect and the inverse Faraday effect through the acoustic wave in a time-reversal invariant but inversion broken Dirac insulator. We focus on the acoustic frequency much lower than the Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Ying Su , Alexander V. Balatsky , Shi-Zeng Lin

Recent advances in constructing synthetic dimension provide a powerful tool for exploring exotic topological states of matter in high dimensions. Here we report that the parity anomaly and associated \textit{half-integer} quantized Hall…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Xian-Hao Wei , Xi-Wang Luo , Guang-Can Guo , Zheng-Wei Zhou

In this work we explore experimental signatures of fractional topological insulators in three dimensions. These are states of matter with a fully gapped bulk that host exotic gapless surface states and fractionally charged quasiparticles.…

Strongly Correlated Electrons · Physics 2013-05-30 Brian Swingle

The topological magnetoelectric effect (TME) in three-dimensional topological insulators (TIs), described by $\Delta P = \frac{e^2}{2h} N_{\rm Ch}^{(2)} \Delta B$, serves as a condensed-matter realization of the four-dimensional quantum…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Yuanze Li , Renfei Wang , Yifan Zhang , Jiahao Chen , Yingdong Deng , Jin Xie , Xufeng Kou , Yang Liu , Tian Liang

Topological insulators have been proposed to be best characterized as bulk magnetoelectric materials that show response functions quantized in terms of fundamental physical constants. Here we lower the chemical potential of…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Liang Wu , M. Salehi , N. Koirala , J. Moon , S. Oh , N. P. Armitage

In this work, we investigate the topological phase transitions in an effective model for a topological thin film with high-frequency pumping. In particular, our results show that the circularly polarized light can break the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 Fang Qin , Rui Chen , Hai-Zhou Lu

The quantized version of anomalous Hall effect realized in magnetic topological insulators (MTIs) has great potential for the development of topological quantum physics and low-power electronic/spintronic applications. To enable…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Yuchen Ji , Zheng Liu , Peng Zhang , Lun Li , Shifei Qi , Peng Chen , Yong Zhang , Qi Yao , Zhongkai Liu , Kang L. Wang , Zhenhua Qiao , Xufeng Kou

An intriguing property of three-dimensional (3D) topological insulator (TI) is the existence of surface states with spin-momentum locking, which offers a new frontier of exploration in spintronics. Here, we report the observation of a new…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Pan He , Steven S. -L. Zhang , Dapeng Zhu , Shuyuan Shi , Olle G. Heinonen , Giovanni Vignale , Hyunsoo Yang

We theoretically investigate the nature of laser-irradiated Kondo insulators. Using Floquet theory and slave boson approach, we study a periodic Anderson model and derive an effective model which describes the laser-irradiated Kondo…

Strongly Correlated Electrons · Physics 2017-09-20 Kazuaki Takasan , Masaya Nakagawa , Norio Kawakami

We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

The anomalous Hall effect (AHE) is studied on the surface of a 3D magnetic topological insulator. By applying a modified semi-classical framework, all three contributions to the AHE, the intrinsic Berry phase curvature effect, the side-jump…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Amir Sabzalipour , Bart Partoens

We investigate the effect of a high frequency electromagnetic field with both of circularly and linearly polarization, on the emergence of quantum phases on thin topological insulators. Simultaneously, the influence of the system parameters…

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