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Three-dimensional topological insulators (TIs) have emerged as a unique state of quantum matter and generated enormous interests in condensed matter physics. The surfaces of a three dimensional (3D) TI are composed of a massless Dirac cone,…

Discoveries of interfacial topological Hall effect (THE) provide an ideal platform for exploring physics arising from the interplay between topology and magnetism. The interfacial topological Hall effect is closely related to the…

When a topological insulator (TI) is in contact with a ferromagnet, both time reversal and inversion symmetries are broken at the interface. An energy gap is formed at the TI surface, and its electrons gain a net magnetic moment through…

Mesoscale and Nanoscale Physics · Physics 2016-07-15 Changmin Lee , Ferhat Katmis , Pablo Jarillo-Herrero , Jagadeesh S. Moodera , Nuh Gedik

The combination of magnetism and topological properties in one material platform is attracting significant attention due to the potential of realizing low power consumption and error-robust electronic devices. Common practice is to start…

Topological insulators have been proposed to be best characterized as bulk magnetoelectric materials that show response functions quantized in terms of fundamental physical constants. Here we lower the chemical potential of…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Liang Wu , M. Salehi , N. Koirala , J. Moon , S. Oh , N. P. Armitage

Reflecting the fundamental interactions of polarized light with magnetic matter, magneto-optical effects are well known since more than a century. The emergence of these phenomena is commonly attributed to the interplay between exchange…

In a topological insulator (TI)/magnetic insulator (MI) hetero-structure, large spin-orbit coupling of the TI and inversion symmetry breaking at the interface could foster non-planar spin textures such as skyrmions at the interface. This is…

Mesoscale and Nanoscale Physics · Physics 2021-09-24 Dhavala Suri , Archit Bhardwaj , Satyaki Sasmal , Karthik Raman

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 electronic ground state of a three-dimensional (3D) band insulator with time-reversal ($\Theta$) symmetry or time-reversal times a discrete translation ($\Theta T_{1/2}$) symmetry is classified by a $\mathbb{Z}_{2}$-valued topological…

Mesoscale and Nanoscale Physics · Physics 2024-10-23 Chao Lei , Perry T. Mahon , Allan H. MacDonald

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…

The Faraday effect is a representative magneto-optical phenomenon, resulting from the transfer of angular momentum between interacting light and matter in which time-reversal symmetry has been broken by an externally applied magnetic field.…

Intrinsic magnetic topological insulator (TI) is a stoichiometric magnetic compound possessing both inherent magnetic order and topological electronic states. Such a material can provide a shortcut to various novel topological quantum…

We show that a thin film of a three-dimensional topological insulator such as Bi$_2$Se$_3$ or Bi$_2$Te$_3$ can exhibit strong linear and nonlinear magneto-optical effects in a transverse magnetic field. In particular, one can achieve an…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Xianghan Yao , Mikhail Tokman , Alexey Belyanin

We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

The optical properties of a spherical topological insulator embedded concentrically in a single-electron system consisting of a core-shell GaAs quantum dot are analyzed, when the system is under a uniform external magnetic field. The…

Mesoscale and Nanoscale Physics · Physics 2020-05-29 Jorge David Castaño-Yepes , O. J. Franca , C. F. Ramirez-Gutierrez , J. C. del Valle

Control and detection of antiferromagnetic topological materials are challenging since the total magnetization vanishes. Here we investigate the magneto-optical Kerr and Faraday effects in bilayer antiferromagnetic insulator MnBi$_2$Te$_4$.…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Wan-Qing Zhu , Wen-Yu Shan

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

Three-dimensional (3-D) topological insulators (TI) are characterized by the presence of metallic surface states and a bulk band gap. Recently theoretical and experimental studies have shown an induced gap in the surface state bands of TI…

Mesoscale and Nanoscale Physics · Physics 2012-12-21 Jiwon Chang , Leonard F. Register , Sanjay K. Banerjee

We report thermoelectric (TE) properties of topological surface Dirac states (TSDS) in three-dimensional topological insulators (3D-TIs) purely isolated from the bulk by employing single crystal Bi$_{2-x}$Sb$_x$Te$_{3-y}$Se$_y$ films…

Interfacing topological insulators (TIs) with magnetic insulators (MIs) has been widely used to study the interaction between topological surface states and magnetism. Previous transport studies typically interpret the suppression of weak…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 Yang Wang , Sivakumar V. Mambakkam , Yue-Xin Huang , Yong Wang , Yi Ji , Cong Xiao , Shengyuan A. Yang , Stephanie A. Law , John Q. Xiao