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The recent discovery of topological insulator (TI) offers new opportunities for the development of thermoelectrics, because many TIs (like Bi$_2$Te$_3$) are excellent thermoelectric (TE) materials. In this review, we will first describe the…

Materials Science · Physics 2016-10-26 Yong Xu

We theoretically study the magnetoresistance (MR) of two-dimensional massless Dirac electrons as found on the surface of three-dimensional topological insulators (3D TIs) that is capped by a ferromagnetic insulator (FI). We calculate charge…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Takahiro Chiba , Saburo Takahashi , Gerrit E. W. Bauer

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 investigate proximity effects in a correlated heterostructure of a two-dimensional Mott insulator (MI) and a topological insulator (TI) by employing inhomogeneous dynamical mean-field theory. We show that the edge state of the TI induces…

Strongly Correlated Electrons · Physics 2015-06-15 Suguru Ueda , Norio Kawakami , Manfred Sigrist

The topological magnetoelectric effect (TME) is a unique macroscopic manifestation of quantum states of matter possessing topological order and it is described by axion electrodynamics. In three-dimensional topological insulators, for…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 M. Ibarra-Meneses , A. Martín-Ruiz

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

Constructing heterostructures of a topological insulator (TI) with an undoped magnetic insulator (MI) is a clean and versatile approach to break the time-reversible symmetry in the TI surface states. Despite a lot of efforts, the strength…

Applied Physics · Physics 2020-09-30 Nan Liu , Xuefan Niu , Yuxin Liu , Qinghua Zhang , Lin Gu , Jing Teng , Yongqing Li

We investigate how a magnetic field induces one-dimensional edge channels when the two-dimensional surface states of three-dimensional topological insulators become gapped. The Hall effect, measured by contacting those channels, remains…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Matthias Sitte , Achim Rosch , Ehud Altman , Lars Fritz

The topological magnetoelectric effect (TME) is a defining property of three-dimensional $\mathbb{Z}_{2}$ topological insulators that was predicted on theoretical grounds more than a decade ago, but has still not been directly measured. In…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Chao Lei , Perry T. Mahon , C. M. Canali , A. H. MacDonald

In the context of $\theta$ electrodynamics we find transverse electromagnetic wave solutions forbidden in Maxwell electrodynamics. Our results attest to new evidence of the topological magnetoelectric effect in topological insulators,…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Sebastián Filipini , Mauro Cambiaso

This study presents a theoretical investigation of the thermoelectric properties of three-dimensional magnetic topological insulators (TIs), with a focus on the role of exchange interactions between magnetic dopants. The presence of these…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 M. Tirgar , H. Barati Abgarmi , J. Abouie

We construct a Green function, which can identify the topological nature of interacting systems. It is equivalent to the single-particle Green function of effective non-interacting particles, the Bloch Hamiltonian of which is given by the…

Strongly Correlated Electrons · Physics 2022-04-20 Minh-Tien Tran , Duong-Bo Nguyen , Hong-Son Nguyen , Thanh-Mai Thi Tran

Topological insulators (TIs) show rich phenomena and functions which can never be realized in ordinary insulators. Most of them come from the peculiar surface or edge states. Especially, the quantized anomalous Hall effect (QAHE) without an…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

We study the response of topological insulator films to strong magnetic and electric fields beyond the linear response theory. As a model, we use the three-dimensional lattice Wilson-Dirac Hamiltonian where we simultaneously introduce both…

Mesoscale and Nanoscale Physics · Physics 2014-08-18 Dashdeleg Baasanjav , O. A. Tretiakov , Kentaro Nomura

Gapless surface states that are protected by time reversal symmetry and charge conservation are among the manifestations of 3D topological insulators. In this work we study how electron-electron interaction may lead to spontaneous breaking…

Strongly Correlated Electrons · Physics 2012-06-07 Yuval Baum , Ady Stern

From the low-energy model, the topological field theory indicates that the surface magnetization can open a surface gap in 3D topological insulators (TIs), resulting in a half-quantized Hall conductance. Here by employing the realistic…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Hao Wan , Qing-Feng Sun

A topological insulator (TI) interfaced with a magnetic insulator (MI) may host an anomalous Hall effect (AHE), a quantum AHE, and a topological Hall effect (THE). Recent studies, however, suggest that coexisting magnetic phases in TI/MI…

The topological magneto-electric effect (TME) is a characteristic property of topological insulators. In this article, we use a simplified coupled-Dirac-cone electronic structure model to theoretically evaluate the THz and far infrared Kerr…

Mesoscale and Nanoscale Physics · Physics 2024-07-10 Chao Lei , Allan H. MacDonald

Magnetic proximity effect between topological insulator (TI) and ferromagnetic insulator (FMI) is considered to have great potential in spintronics. However, a complete determination of interfacial magnetic structure has been highly…

Mesoscale and Nanoscale Physics · Physics 2015-04-13 Mingda Li , Wenping Cui , Jin Yu , Zuyang Dai , Zhe Wang , Ferhat Katmis , Wanlin Guo , Jagadeesh Moodera

Three-dimensional topological insulators (TIs) are a perfectly tuned quantum-mechanical machinery in which counter-propagating and oppositely spin-polarized conduction channels balance each other on the surface of the material. This…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 A. I. Figueroa , T. Hesjedal , N. -J. Steinke