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Using density functional theory calculations and the Greens's function formalism, we report the existence of magnetic edge states with a non-collinear spin texture present on different edges of the 1T' phase of the three monolayer…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Line Jelver , Daniele Stradi , Thomas Olsen , Kurt Stokbro , Karsten Wedel Jacobsen

After the classification of topological states of matter has been clarified for non-interacting electron systems, the theoretical connection between gapless boundary modes and nontrivial bulk topological structures, and their evolutions as…

Strongly Correlated Electrons · Physics 2018-08-15 M. Sasaki , A. Ohnishi , Nabyendu Das , K. -S. Kim , Heon-Jung Kim

While the quantum spin Hall effect leverages two-dimensional topological states to manipulate spin without dissipation, layertonics extends this paradigm to three dimension by enabling control over the layer degree of freedom. Topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Jiaojiao Zhou , Hong Hu , Jiangying Yu , Lin Xu , Shu-guang Cheng , Hua Jiang

We propose a family of Abelian quantum Hall states termed the non-diagonal states, which arise at filling factors $\nu=p/2q$ for bosonic systems and $\nu=p/(p+2q)$ for fermionic systems, with $p$ and $q$ being two coprime integers.…

Strongly Correlated Electrons · Physics 2021-02-03 Pok Man Tam , Charles L. Kane

We construct two-dimensional non-Abelian topologically ordered states by strongly coupling arrays of one-dimensional quantum wires via interactions. In our scheme, all charge degrees of freedom are gapped, so the construction can use either…

Strongly Correlated Electrons · Physics 2016-05-18 Po-Hao Huang , Jyong-Hao Chen , Pedro R. S. Gomes , Titus Neupert , Claudio Chamon , Christopher Mudry

We investigate the band structure and topological phases of one- and two-dimensional bipartite atomic lattices mediated by long-range dissipative radiative coupling. By deriving an effective non-Hermitian Hamiltonian for the…

Quantum Physics · Physics 2026-01-05 Wenxuan Xie , John C Schotland

The 2D TI edge states are considered within the Volkov-Pankratov (VP) Hamiltonian. A smooth transition between TI and OI is assumed. The edge states are formed in the total gap of homogeneous 2D material. A pair of these states are of…

Mesoscale and Nanoscale Physics · Physics 2021-01-14 M. M. Mahmoodian , M. V. Entin

Time-dependent perturbations can drive a trivial two-dimensional band insulator into a quantum Hall-like phase, with protected nonequilibrium states bound to its edges. We propose an experiment to probe the existence of these topological…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Benjamin M. Fregoso , Jan P. Dahlhaus , Joel E. Moore

Externally controllable band gap properties of a material is crucial in designing optoelectronic devices with desirable properties on-demand. Here, a possibility of single parameter tuning of trivial to non-trivial topological band gap by…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Bikashkali Midya

We study the electric and magnetic properties of the edge of a two-dimensional electron gas in presence of a magnetic field and at filling factor unity. The existence of a spin textured edge is proved as a function of the Zeeman coupling…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 M. Franco , L. Brey

Topological edge states are robust against symmetry-preserving perturbations and noise, making them promising for quantum information and computation, particularly in topological quantum computation through braiding operations of Majorana…

Mesoscale and Nanoscale Physics · Physics 2025-05-23 Yuuki Kanda , Yusuke Fujisawa , Kousuke Yakubo , Norio Kawakami , Hideaki Obuse

Discrete-time quantum walks allow Floquet topological insulator materials to be explored using controllable systems such as ultracold atoms in optical lattices. By numerical simulations, we study the robustness of topologically protected…

Quantum Physics · Physics 2016-08-02 Thorsten Groh , Stefan Brakhane , Wolfgang Alt , Dieter Meschede , Janos Asbóth , Andrea Alberti

We develop a simple model of surface states for topological insulators, developing matching relations for states on surfaces of different orientations. The model allows one to write simple Dirac Hamiltonians for each surface, and to…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 L. Brey , H. A. Fertig

Linearity of the topological insulator edge state spectrum plays the crucial role for various transport phenomena. The previous studies found that this linearity exists near the spectrum crossing point, but did not determine how perfect the…

Mesoscale and Nanoscale Physics · Physics 2017-08-15 M. V. Entin , M. M. Mahmoodian , L. I. Magarill

Electromagnetic topological insulators have been explored extensively due to the robust edge states they support. In this work, we propose a topological electromagnetic system based on a line defect in topologically nontrivial photonic…

Optics · Physics 2019-08-27 Menglin L. N. Chen , Li Jun Jiang , Zhihao Lan , Wei E. I. Sha

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

Breaking Hermiticity in topological systems gives rise to intriguing phenomena, such as the exceptional topology and the non-Hermitian skin effect. In this work, we study a non-Hermitian topological crystalline insulator sitting on the…

Mesoscale and Nanoscale Physics · Physics 2022-02-11 Qiu-Yue Xu , Feng Liu , Chui-Zhen Chen , Dong-Hui Xu

The low-energy band-structure of electrons propagating on a lateral surface of a heterostructure consisting of three dimensional topological insulator (TI) and magnetic insulator layers has been calculated. The energy spectrum is highly…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 A. G. Mal'shukov

We outline here how strong light-matter interaction can be used to induce quantum phase transition between normal and topological phases in two-dimensional topological insulators. We consider the case of a HgTe quantum well, in which band…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Mehedi Hasan , Dmitry Yudin , Ivan Iorsh , Olle Eriksson , Ivan Shelykh

The outstanding transport properties expected at the edge of two-dimensional time-reversal invariant topological insulators have proven to be challenging to realize experimentally, and have so far only been demonstrated in very short…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 Luca Vannucci , Thomas Olsen , Kristian S. Thygesen