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The Dirac-like surface states of the topological insulators (TIs) are protected by time reversal symmetry (TRS) and exhibit a host of novel properties. Introducing magnetism into TI, which breaks the TRS, is expected to create exotic…

Inside a three-dimensional strong topological insulator, a tube with $h/2e$ magnetic flux carries a pair of protected one-dimensional linear fermionic modes. This phenomenon is known as the "wormhole effect". In this work, we find that the…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Ming Gong , Ming Lu , Haiwen Liu , Hua Jiang , Qing-Feng Sun , X. C. Xie

We propose a topological order parameter for interacting topological insulators, expressed in terms of the full Green's functions of the interacting system. We show that it is exactly quantized for a time reversal invariant topological…

Strongly Correlated Electrons · Physics 2018-10-24 Zhong Wang , Xiao-Liang Qi , Shou-Cheng Zhang

The direct magnetoelectric (ME) effect resulting from the polarization changes induced in a ferroelectric film by the application of a magnetic field to a ferromagnetic substrate is described using the nonlinear thermodynamic theory. It is…

Materials Science · Physics 2011-10-18 N. A. Pertsev , H. Kohlstedt , B. Dkhil

The surface of a topological insulator hosts a very special form of a quasi-two dimensional metallic system when it is embedded in a topologically trivial medium like the vacuum. The electronic properties of this unusual 2D metal are…

Mesoscale and Nanoscale Physics · Physics 2012-08-13 M. M. Vazifeh , M. Franz

A quantized version of the magnetoelectric effect, known as the topological magnetoelectric effect, can exist in a time-reversal invariant topological insulator with all its surface states gapped out by magnetism. This topological phase,…

Materials Science · Physics 2019-09-04 Jiabin Yu , Jiadong Zang , Chao-Xing Liu

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

We report measurements of the polar Kerr effect, proportional to the out-of-plane component of the magnetization, in thin films of the magnetically doped topological insulator…

Magnetization can be induced by an electric field in systems without inversion symmetry $\mathcal{P}$ and time-reversal symmetry $\mathcal{T}$. This phenomenon is called the magnetoelectric (ME) effect. The spin ME effect has been actively…

Materials Science · Physics 2023-03-15 Koki Shinada , Akira Kofuji , Robert Peters

Magnetism in topological materials creates phases exhibiting quantized transport phenomena with applications in spintronics and quantum information. The emergence of such phases relies on strong interaction between localized spins and…

In this paper we predict that the magnetoelectric response of two-dimensional (2D) antiferromagnets is determined by the topology of the ground state. This topological magnetoelectric response, encoded in the spin magnetoelectric…

Strongly Correlated Electrons · Physics 2025-12-08 Jörn W. F. Venderbos , Paola Gentile , Carmine Ortix

This short review appears on the occasion of the fifth anniversary of discovery of intrinsic magnetic topological insulators (MTIs) of the MnBi${}_2$Te${}_4$ family, which have attracted a great deal of attention recently. This family of…

Materials Science · Physics 2025-05-05 A. Yu. Vyazovskaya , M. Bosnar , E. V. Chulkov , M. M. Otrokov

We measure the quantum capacitance and probe thus directly the electronic density of states of the high mobility, Dirac type of two-dimensional electron system, which forms on the surface of strained HgTe. Here we show that observed…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 D. A. Kozlov , D. Bauer , J. Ziegler , R. Fischer , M. L. Savchenko , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , D. Weiss

Detection and manipulation of electrons' spins are key prerequisites for spin-based electronics or spintronics. This is usually achieved by contacting ferromagnets with metals or semiconductors, in which the relaxation of spins due to…

Materials Science · Physics 2014-11-05 Y. Shiomi , K. Nomura , Y. Kajiwara , K. Eto , M. Novak , Kouji Segawa , Yoichi Ando , E. Saitoh

Topological electromagnetism owing to nontrivial momentum-space topology of electrons in insulators gives rise to diverse anomalous magnetoelectric responses. While conventional inductors and capacitors are based on classical…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Yasufumi Araki , Jun'ichi Ieda

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

Intrinsic magnetic topological insulators (MTIs) MnBi2Te4 and MnBi2Te4/(Bi2Te3)n are expected to realize the high-temperature quantum anomalous Hall effect (QAHE) and dissipationless electrical transport. Extensive efforts have been made on…

The magnetopiezoelectric effect (MPE) is a cross-coupling between an electric current and strain in metals with neither inversion symmetry nor time-reversal symmetry. Unlike the conventional piezoelectric effect, the MPE allows a…

Superconductivity · Physics 2022-01-26 Michiya Chazono , Hikaru Watanabe , Youichi Yanase

Spin-orbit effects appearing in topological insulators (TI) and at Rashba interfaces are currently revolutionizing how we can manipulate spins and have led to several newly discovered effects, from spin-charge interconversion and spin-orbit…

Intrinsic magnetic topological insulators from MnBi2Te4 family promise realization of axion insulator, a theoretically predicted state of matter capable to mutually convert electric and magnetic signals, and whose properties are reminiscent…

Materials Science · Physics 2020-11-17 Igor Altfeder , Robert C. Walko , Seng Huat Lee , Zhiqiang Mao