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Topological protection in photonics offers new prospects for guiding and manipulating classical and quantum information. The mechanism of spin-orbit coupling promises the emergence of edge states that are helical; exhibiting unidirectional…

Optics · Physics 2018-11-28 Nikhil Parappurath , Filippo Alpeggiani , L. Kuipers , Ewold Verhagen

We study the scattering of edge states of 2D topological insulator (TI) in the uniform external magnetic field due to edge imperfections, common in realistic 2D TI samples. The external magnetic field breaks time reversal (TR) symmetry,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 A. S. Dotdaev , Ya. I. Rodionov , A. V. Rozhkov , P. D. Grigoriev

The magnetoelectric effect predicted in topological insulators makes heterostructures that combine magnetic materials and such insulators promising candidates for spintronics applications. Here, we theoretically consider a setup that…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Stefan Rex , Flavio S. Nogueira , Asle Sudbo

We study the electronic transport across an electrostatically-gated lateral junction in a HgTe quantum well, a canonical 2D topological insulator, with and without applied magnetic field. We control carrier density inside and outside a…

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

Surface properties are examined in a chiral d-wave superconductor with hexagonal symmetry, whose one-body Hamiltonian possesses the intrinsic spin-orbit coupling identical to the one characterizing the topological nature of the Kane-Mele…

Superconductivity · Physics 2017-10-11 Jun Goryo , Yoshiki Imai , W. B. Rui , Manfred Sigrist , Andreas P. Schnyder

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

We investigate the nature of the ordering among magnetic adatoms, randomly deposited on the surface of topological insulators. Restricting ourselves to dilute impurity and weak coupling (between itinerant fermion and magnetic impurities)…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Chun-Xiao Liu , Bitan Roy , Jay D. Sau

The advent of topological phases of matter revealed a variety of observed boundary phenomena, such as chiral and helical modes found at the edges of two-dimensional (2D) topological insulators. Antichiral states in 2D semimetals, i.e.,…

Mesoscale and Nanoscale Physics · Physics 2021-07-23 M. Michael Denner , J. L. Lado , Oded Zilberberg

Topological magnon insulators exhibit robust edge modes with chiral properties similar to quantum Hall edge states. However, due to their strong localization at the edges, interactions between these chiral edge magnons can be significant,…

Strongly Correlated Electrons · Physics 2026-01-12 Stefan Birnkammer , Michael Knap , Johannes Knolle , Alexander Mook , Alvise Bastianello

We present a theoretical study of the nonlinear magneto-optical shift conductivity in the surface states of the prototypical topological insulator Bi$_2$Se$_3$ under a perpendicular quantizing magnetic field. By describing the electronic…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Haoyu Li , Kainan Chang , Wang-Kong Tse , Jin Luo Cheng

We consider the proximity effect between Dirac states at the surface of a topological insulator and a ferromagnet with easy plane anisotropy, which is described by the \emph{XY}-model and undergoes a Berezinskii-Kosterlitz-Thouless (BKT)…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Hilary M. Hurst , Dmitry K. Efimkin , Victor Galitski

A key feature of topological insulators is the robustness of the electron energy spectrum. At a surface of a topological insulator, Dirac point is protected by the characteristic symmetry of the system. The breaking of the symmetry opens a…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 S. Stagraczynski , L. Chotorlishvili , V. K. Dugaev , C. -L. Jia , A. Ernst , A. Komnik , J. Berakdar

Using polarization-resolved resonant Raman spectroscopy, we explore collective spin excitations of the chiral surface states in a three dimensional topological insulator, Bi$_2$Se$_3$. We observe a sharp peak at 150 meV in the pseudovector…

Materials Science · Physics 2017-10-04 H. -H. Kung , S. Maiti , X. Wang , S. -W. Cheong , D. L. Maslov , G. Blumberg

Motivated by recent photoemission experiments on the surface of topological insulators we compute the spectrum of driven topological surface excitations in the presence of an external light source. We completely characterize the spectral…

Strongly Correlated Electrons · Physics 2013-10-30 Benjamin M. Fregoso , Y. H. Wang , N. Gedik , Victor Galitski

In planar chiral magnets, the competition of the positive definite Heisenberg exchange and Zeeman energies with the indefinite Dzyaloshinskii-Moriya interaction (DMI) energy allows for the possibility of negative energy ground states, and…

Strongly Correlated Electrons · Physics 2025-12-23 Bernd Schroers , Martin Speight , Thomas Winyard

Electrons which are slowly moving through chiral magnetic textures can effectively be described as if they where influenced by electromagnetic fields emerging from the real-space topology. This adiabatic viewpoint has been very successful…

Materials Science · Physics 2018-10-23 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

We prove the existence of higher-order topological insulators with protected chiral hinge modes in quasi-two-dimensional systems made out of coupled layers stacked in an inversion-symmetric manner. In particular, we show that an external…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Sander H. Kooi , Guido van Miert , Carmine Ortix

The motion of a relativistic particle is linked to its spin by the Dirac equation. Remarkably, electrons in two-dimensional materials can mimic such Dirac particles but must always appear in pairs of opposite spin chirality. Using…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Kenjiro K. Gomes , Wonhee Ko , Warren Mar , Yulin Chen , Zhi-Xun Shen , Hari C. Manoharan

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