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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

Three-dimensional topological insulators or axion insulators exhibit the topological magnetoelectric effect, which is isotropic with a universal coefficient of proportionality quantized in units of $e^2/2h$. Here we study the finite-size…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Zhaochen Liu , Jing Wang

We study the axion in three-dimensional topological insulators with magnetic impurities under finite temperature. We find a stable antiferromagnetic ground state and ferromagnetic metastable state. In both magnetic states, the mass of the…

High Energy Physics - Phenomenology · Physics 2022-12-02 Koji Ishiwata

The Witten effect implies the electromagnetic interactions between axions and magnetic monopoles. Based on the quantum electromagnetodynamics, a generic low-energy axion-photon effective field theory was built by introducing two…

High Energy Physics - Phenomenology · Physics 2023-04-05 Tong Li , Rui-Jia Zhang , Chang-Jie Dai

Inducing long-range magnetic order in three-dimensional topological insulators can gap the Diraclike metallic surface states, leading to exotic new phases such as the quantum anomalous Hall effect or the axion insulator state. These…

Mesoscale and Nanoscale Physics · Physics 2021-08-20 Semonti Bhattacharyya , Golrokh Akhgar , Matt Gebert , Julie Karel , Mark T Edmonds , Michael S Fuhrer

The $\theta$-vacua of a gauge theory admit an equivalent formulation as vacua of a massless Chern-Simons $3$-form, which originate from the topological susceptibility of the vacuum. This formulation provides a framework in which the…

High Energy Physics - Theory · Physics 2025-10-08 Maximilian Bachmaier , Gia Dvali , Juan Sebastián Valbuena-Bermúdez

The magnetic field opens a gap in the edge state spectrum of two-dimensional topological insulators thereby destroying protection of these states against backscattering. To relate properties of this gap to parameters of the system and to…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 O. E. Raichev

We investigate the finite size effects of a three-dimensional second-order topological insulator with fourfold rotational symmetry and time-reversal symmetry. Starting from the effective Hamiltonian of the three-dimensional second-order…

Mesoscale and Nanoscale Physics · Physics 2022-12-27 Penglei Wang , Yong-Lian Zou , Juntao Song

The interplay between magnetic and topological order can give rise to phenomena such as the quantum anomalous Hall effect. The extension of topological surface states into magnetic insulators (MIs) has been proposed as an alternative to…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Eirik Holm Fyhn , Hendrik Bentmann , Jacob Linder

The Witten effect implies the dynamics of axion and magnetic monopole. The Cho-Maison monopole is a realistic electroweak monopole arisen in the Weinberg-Salam theory. This monopole of TeV scale mass motivates the dedicated search for…

High Energy Physics - Phenomenology · Physics 2026-05-21 Tong Li , Rui-Jia Zhang

A positive, non-saturating and dominantly linear magnetoresistance is demonstrated to occur in the surface state of a topological insulator having a wavevector-linear energy dispersion together with a finite positive Zeeman energy…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 C. M. Wang , X. L. Lei

Recently, an effective non-Abelian magnetic field with a topology of a monopole was shown to emerge from the adiabatic motion of multilevel atoms in spatially varying laser fields [J. Ruseckas et al., Phys. Rev. Lett. 95, 010404 (2005)]. We…

Other Condensed Matter · Physics 2009-11-13 Ville Pietilä , Mikko Möttönen

We propose that the topological magneto-electric (ME) effect, a hallmark of topological insulators (TIs), can be realized in thin films of TIs in the $\nu=0$ quantum Hall state under magnetic field or by doping two magnetic ions with…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Takahiro Morimoto , Akira Furusaki , Naoto Nagaosa

Existence of the magnetic monopole is compatible with the fundamental laws of nature, however, this illusive particle has yet to be detected experimentally. In this work, we show that an electric charge near the topological surface state…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Xiao-Liang Qi , Rundong Li , Jiadong Zang , Shou-Cheng Zhang

When time-reversal symmetry is broken on its surface, topological insulators exhibit a magnetoelectric response which is described by axion electrodynamics. A direct consequence of this theory is the appearance of a magnetic field that…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 A. Martín-Ruiz , Omar Rodríguez-Tzompantzi , J. R. Maze , L. F. Urrutia

We investigate the breaking of dark $SU(2)_d$ symmetry at different temperature scales, occurring after Peccei-Quinn symmetry breaking or following QCD symmetry breaking. We focus on assessing the potential of the hidden monopoles generated…

High Energy Physics - Phenomenology · Physics 2025-01-17 Ruiyu Zhou , Ligong Bian

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

In magnetic topological insulators, the surface states can exhibit a gap due to the breaking of time-reversal symmetry. Various experiments, while suggesting the existence of the surface gap, have raised questions about its underlying…

Mesoscale and Nanoscale Physics · Physics 2024-11-20 Habib Rostami , Ali G. Moghaddam

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 study the planar magnetic textures in an insulating magnetic film coupled to the Dirac surface state of a topological insulator. It is shown that the radial vortex with winding number $w=\pm1$ leads to the confinement of Dirac states,…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Zhaochen Liu , Jing Wang , Congjun Wu