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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

Topological magnetoelectric effect (TME) is a hallmark response of the topological field theory, which provides a paradigm shift in the study of emergent topological phenomena. However, its direct observation is yet to be realized due to…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Yuhao Wan , Jiayu Li , Qihang Liu

Contrary to the electric charge that generates the electric field, magnetic charge (namely magnetic monopoles) does not exist in the elementary electromagnetism. Consequently, magnetic flux lines only form loops and cannot have a source or…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Wenjie Xi , Wei Ku

Based on a first-principles approach, we show that in a single crystal of a prototypical topological insulator such as Bi$_2$Se$_3$ the difference in the work function between adjacent surfaces with different crystal-face orientations…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Yea-Lee Lee , Hee Chul Park , Jisoon Ihm , Young-Woo Son

One of the intriguing properties characteristic to three-dimensional topological materials is the topological magnetoelectric phenomena arising from a topological term called the $\theta$ term. Such magnetoelectric phenomena are often…

Mesoscale and Nanoscale Physics · Physics 2021-04-12 Akihiko Sekine , Kentaro Nomura

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 show that in the Maxwell-Chern-Simons theory of topologically massive electrodynamics the Dirac string of a monopole becomes a cone in anti-de Sitter space with the opening angle of the cone determined by the topological mass which in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. N. Aliev , Y. Nutku , K. Saygılı

Axions are very light, very weakly interacting particles postulated more than 30 years ago in the context of the Standard Model of particle physics. Their existence could explain the missing dark matter of the universe. However, despite…

Other Condensed Matter · Physics 2015-05-13 Rundong Li , Jing Wang , Xiaoliang Qi , Shou-Cheng Zhang

In this article, we analyze a magnetic monopole in topological insulators. The monopole obtain a fractional electric charge because of the Witten effect. We consider this system with a microscopic view by adding the Wilson term to the…

High Energy Physics - Lattice · Physics 2024-01-12 Shoto Aoki , Hidenori Fukaya , Naoto Kan , Mikito Koshino , Yoshiyuki Matsuki

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

One of the defining properties of the conventional three-dimensional ("$\mathbb{Z}_2$-", or "spin-orbit"-) topological insulator is its characteristic magnetoelectric effect, as described by axion electrodynamics. In this paper, we discuss…

Strongly Correlated Electrons · Physics 2012-06-14 Shinsei Ryu , Joel E. Moore , Andreas W. W. Ludwig

We formulate a nonlinear electrodynamic theory which may be viewed as a weighted theory minimally interpolating the classical Maxwell and Born--Infeld theories. We show that, in contrast to the Born--Infeld theory, this new theory…

High Energy Physics - Theory · Physics 2025-11-14 Tengyang Liu , Yisong Yang

The electrodynamics of topological insulators (TIs) is described by modified Maxwell's equations, which contain additional terms that couple an electric field to a magnetization and a magnetic field to a polarization of the medium, such…

Strongly Correlated Electrons · Physics 2017-05-16 V. Dziom , A. Shuvaev , A. Pimenov , G. V. Astakhov , C. Ames , K. Bendias , J. Böttcher , G. Tkachov , E. M. Hankiewicz , C. Brüne , H Buhmann , L. W. Molenkamp

Electronic topological states of matter exhibit novel types of responses to electromagnetic fields. The response of strong topological insulators, for instance, is characterized by a so-called axion term in the electromagnetic Lagrangian…

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…

Recently, we have shown that non-selfdual self-gravitating dyonic fields with magnetic mass generalize the Dirac monopole. The unique topological index, which characterizes the field, is a four dimensional analogue of the famous monopole…

High Energy Physics - Theory · Physics 2019-11-04 Daniel Flores-Alfonso , Hernando Quevedo

We address the influence of realistic disorder on the effective magnetic monopole that is induced near the surface of an ideal topological insulator (TI) by azimuthal currents which flow in response to a suddenly introduced external…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 D. A. Pesin , A. H. MacDonald

We investigate a relation between non-invertible symmetries and selection rules of topological solitons such as axionic domain walls and magnetic strings in the $(3+1)$-dimensional axion electrodynamics with a massive axion or a massive…

High Energy Physics - Theory · Physics 2024-11-11 Yoshimasa Hidaka , Muneto Nitta , Ryo Yokokura

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

Magnetic monopoles, hypothetical particles behaving as isolated magnetic charges, have long been predicted by theories beyond the standard model but remain elusive in experimental detection. Subsequently, Xiaoliang Qi et al. proposed that…

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