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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

Topological magnetoelectric effect in a three-dimensional topological insulator is a novel phenomenon, where an electric field induces a magnetic field in the same direction, with a universal coefficient of proportionality quantized in…

Mesoscale and Nanoscale Physics · Physics 2015-08-21 Jing Wang , Biao Lian , Xiao-Liang Qi , Shou-Cheng Zhang

Magnetic hopfions are topologically protected three-dimensional solitons that are constituted by a tube which exhibits a topologically nontrivial spin texture in the cross-section profile and is closed to a torus. Here we show that the…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Börge Göbel , Collins Ashu Akosa , Gen Tatara , Ingrid Mertig

We consider a thin film of a topological insulator (TI) sandwiched between two ferromagnetic (FM) layers. The system is additionally under an external gate voltage. The surface electron states of TI are magnetized due to the magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Piotr Pigoń , Anna Dyrdał

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

The highly efficient torques generated by 3D topological insulators make them a favourable platform for faster and more efficient magnetic memory devices. Recently, research into harnessing orbital angular momentum in orbital torques has…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 James H. Cullen , Hong Liu , Dimitrie Culcer

Topological insulators are bulk insulators with exotic surface states, protected under time-reversal symmetry, that hold promise in observing many exciting condensed-matter phenomena. In this report, we show that by having a topological…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 S. Mathimalar , S. Sasmal , P. Rajasekhar , A. Bhardwaj , S. Chaudhary , B. Satpati , K. V. Raman

The interplay between ferromagnetism and topological properties of electronic band structures leads to a precise quantization of Hall resistance without any external magnetic field. This so-called quantum anomalous Hall effect (QAHE) is…

Applied Physics · Physics 2022-03-29 Shamiul Alam , Md Shafayat Hossain , Ahmedullah Aziz

The large spin orbit coupling in topological insulators results in helical spin-textured Dirac surface states that are attractive for topological spintronics. These states generate an efficient spin-orbit torque on proximal magnetic moments…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Yang Lv , James Kally , Delin Zhang , Joon Sue Lee , Mahdi Jamali , Nitin Samarth , Jian-Ping Wang

Three-dimensional topological insulator films in contact with magnetic layers exhibit intriguing magneto-optical and magnetoelectric phenomena, but little is known beyond the linear response regime. We demonstrate that the presence of two…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. G. Mal'shukov , Hans Skarsvag , Arne Brataas

The recent discoveries about topological insulators have been promoting theoretical and experimental research. In this dissertation, the basic concepts of topological insulators and the Quantum Hall Effect are reviewed focusing the…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Manuel B. Santos

Magnetic topological states refer to a class of exotic phases in magnetic materials with their non-trivial topological property determined by magnetic spin configurations. An example of such states is the quantum anomalous Hall (QAH) state,…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Yi-Fan Zhao , Ruoxi Zhang , Zi-Ting Sun , Ling-Jie Zhou , Deyi Zhuo , Zi-Jie Yan , Hemian Yi , Ke Wang , Moses H. W. Chan , Chao-Xing Liu , K. T. Law , Cui-Zu Chang

The anomalous Hall effect due to the surface conduction band of 3D topological insulators with an out-of-plane magnetization is \textit{always} dominated by an intrinsic topological term of the order of the conductivity quantum. We…

Mesoscale and Nanoscale Physics · Physics 2011-06-30 Dimitrie Culcer , S. Das Sarma

Protected by the chiral symmetry, three dimensional chiral topological insulators are characterized by an integer-valued topological invariant. How this invariant could emerge in physical observables is an important question. Here we show…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Sheng-Tao Wang , Dong-Ling Deng , Joel E. Moore , Kai Sun , Lu-Ming Duan

The indirect exchange interaction between local magnetic moments via surface electrons has been long predicted to bolster the surface ferromagnetism in magnetic topological insulators (MTIs), which facilitates the quantum anomalous Hall…

In this Communication, we investigate a toy model of three-dimensional topological insulator surface, coupled homogeneously to a fictitious pseudo spin-$\frac{1}{2}$ particle. We show that this toy model captures the interesting features of…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 S. A. Owerre , J. Nsofini

In the transport studies of topological insulators, microflakes exfoliated from bulk single crystals are often used because of the convenience in sample preparation and the accessibility to high carrier mobilities. Here, based on finite…

Mesoscale and Nanoscale Physics · Physics 2021-11-01 Fan Gao , Yongqing Li

Fundamental topological phenomena in condensed matter physics are associated with a quantized electromagnetic response in units of fundamental constants. Recently, it has been predicted theoretically that the time-reversal invariant…

Strongly Correlated Electrons · Physics 2018-11-26 Joseph Maciejko , Xiao-Liang Qi , H. Dennis Drew , Shou-Cheng Zhang

Overcoming the limitations of the von Neumann architecture requires new computational paradigms capable of solving complex problems efficiently. Quantum and neuromorphic computing rely on unconventional materials and device functionalities,…

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura