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Electrical transport in three dimensional topological insulators(TIs) occurs through spin-momentum locked topological surface states that enclose an insulating bulk. In the presence of a magnetic field, surface states get quantized into…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Abhishek Banerjee , Ananthesh Sundaresh , Sangram Biswas , R. Ganesan , Diptiman Sen , P. S. Anil Kumar

Topological superconductivity is an exotic state of matter that supports Majorana zero-modes, which are surface modes in 3D, edge modes in 2D or localized end states in 1D. In the case of complete localization these Majorana modes obey…

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

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

Floquet topological insulators are systems in which the topology emerges out of equilibrium when a time periodic perturbation is applied. In these systems one can define quasi-energy states which replace the quilibrium stationary states.…

Strongly Correlated Electrons · Physics 2016-01-27 Aaron Farrell , T. Pereg-Barnea

The recently discovered antiferromagnetic (AFM) topological insulator (TI) MnBi2Te4 represents a versatile material platform for exploring exotic topological quantum phenomena in nanoscale devices. It has been proposed that…

Materials Science · Physics 2023-06-19 Yaoxin Li , Chang Liu , Yongchao Wang , Zichen Lian , Shuai Li , Hao Li , Yang Wu , Hai-Zhou Lu , Jinsong Zhang , Yayu Wang

We construct and investigate a family of two-band unitary systems living on a cylinder geometry and presenting localized edge states. Using the transfer matrix formalism, we solve and investigate in details such states in the thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Clément Tauber , Pierre Delplace

We investigate the spin transport properties of a topological magnon insulator, a magnetic insulator characterized by topologically nontrivial bulk magnon bands and protected magnon edge modes located in the bulk band gaps. Employing the…

Mesoscale and Nanoscale Physics · Physics 2018-02-21 Andreas Rückriegel , Arne Brataas , Rembert A. Duine

Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be circumvented, and one can get topological…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Esteban A. Rodriguez-Mena , L. E. F. Foa Torres

We use the bulk Hamiltonian for a three-dimensional topological insulator such as $\rm Bi_2 Se_3$ to study the states which appear on its various surfaces and along the edge between two surfaces. We use both analytical methods based on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Oindrila Deb , Abhiram Soori , Diptiman Sen

We consider thermoelectric transport properties of the edge states of a two dimensional topological insulator in a double quantum point contact geometry coupled to two thermally biased reservoirs. Both spin-preserving and spin-flipping…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Flavio Ronetti , Luca Vannucci , Giacomo Dolcetto , Matteo Carrega , Maura Sassetti

We prove a general theorem on the relation between the bulk topological quantum number and the edge states in two dimensional insulators. It is shown that whenever there is a topological order in bulk, characterized by a non-vanishing Chern…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Xiao-Liang Qi , Yong-Shi Wu , Shou-Cheng Zhang

This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological band insulators in one and two dimensions. The aim is to provide a basic understanding of…

Mesoscale and Nanoscale Physics · Physics 2016-04-19 János K. Asbóth , László Oroszlány , András Pályi

Solid-state topological insulating phases, characterized by spin-momentum locked edge modes, provide a powerful route for spin and charge manipulation in electronic devices. We propose to control charge and spin transport in the helical…

Mesoscale and Nanoscale Physics · Physics 2013-03-01 Paolo Michetti , Björn Trauzettel

Photonic topological insulators supporting unidirectional topologically protected edge states represent attractive platform for realization of disorder- and backscattering-immune transport of edge excitations in both linear and nonlinear…

Based on probing electronic transport properties we propose an experimental test for the recently discovered rich topological phase diagram of one-dimensional Floquet topological insulators with Rashba spin-orbit interaction [Kennes…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Niclas Müller , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the…

Quantum Gases · Physics 2019-11-11 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal invariant topological insulators. Because of limitations imposed by nature, topologically non-trivial electronic order…

High-order topological insulators are a recent development extending the topological theory of charge polarization to higher multipole moments. Since their theoretical proposal, several experimental realizations of high-order topological…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Marc Serra-Garcia , Roman Süsstrunk , Sebastian D. Huber

We present a novel theoretical approach to incorporate electronic interactions in the study of two-dimensional topological insulators. By exploiting the correspondence between edge state physics and entanglement spectrum in gapped…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Marcela Derli , E. Novais