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Topological insulators constitute one of the most intriguing phenomena in modern condensed matter theory. The unique and exotic properties of topological states of matter allow for unidirectional gapless electron transport and extremely…

Materials Science · Physics 2022-01-19 Haedong Park , Wenlong Gao , Xiao Zhang , Sang Soon Oh

Motivated by the discovery of the quantum anomalous Hall effect in Cr-doped \ce{(Bi,Sb)2Te3} thin films, we study the generic states for magnetic topological insulators and explore the physical properties for both magnetism and itinerant…

Strongly Correlated Electrons · Physics 2021-08-16 Chao-Kai Li , Xu-Ping Yao , Gang Chen

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

Three-dimensional topological insulators harbour metallic surface states with exotic properties. In transport or optics, these properties are typically masked by defect-induced bulk carriers. Compensation of donors and acceptors reduces the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 N. Borgwardt , J. Lux , I. Vergara , Zhiwei Wang , A. A. Taskin , Kouji Segawa , P. H. M. van Loosdrecht , Yoichi Ando , A. Rosch , M. Grüninger

Topological Kondo insulators (TKIs) are new type of symmetry-protected topological insulators, which develop through the interplay of strong correlations and spin-orbit interactions. In these materials, the bulk is a perfect band insulator…

Strongly Correlated Electrons · Physics 2017-11-22 Soroush Arabi

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

Topological insulators (TIs) are a recently discovered class of materials having insulating bulk electronic states but conducting boundary states distinguished by nontrivial topology. So far, several generations of TIs have been…

Materials Science · Physics 2013-04-23 Z. F. Wang , Zheng Liu , Feng Liu

Spin-orbit torque (SOT) enables efficient electrical control of magnetization, offering a pathway towards low-power spintronic devices. Magnetic topological insulators (TIs), with spin-momentum-locked surface states and intrinsic…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 Ling-Jie Zhou , Deyi Zhuo , Han Tay , Zi-Jie Yan , Pu Xiao , Xiaoda Liu , Bomin Zhang , Cui-Zu Chang

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

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

One-dimensional (1D) gapless hinge states are predicated in the three-dimensional (3D) higher-order topological insulators and topological semimetals, because of the higher-order bulk-boundary correspondence. Nevertheless, the topologically…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 An-Qi Wang , Peng-Zhan Xiang , Tong-Yang Zhao , Zhi-Min Liao

Room-temperature realization of macroscopic quantum phenomena is one of the major pursuits in fundamental physics. The quantum spin Hall state, a topological quantum phenomenon that features a two-dimensional insulating bulk and a helical…

The surface quantum Hall state, magneto-electric phenomena and their connection to axion electrodynamics have been studied intensively for topological insulators. One of the obstacles for observing such effects comes from nonzero…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 G. Tkachov , E. M. Hankiewicz

Topological electromagnetism owing to nontrivial momentum-space topology of electrons in insulators gives rise to diverse anomalous magnetoelectric responses. While conventional inductors and capacitors are based on classical…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Yasufumi Araki , Jun'ichi Ieda

In a three-dimensional strong topological insulator, gapless helical surface states appear everywhere on its surface. In the presence of a screw dislocation, gapless helical modes also appear in the vicinity of the corresponding dislocation…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Tatsuro Sakaguchi , Yositake Takane

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

Superconductivity · Physics 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

We derive diffusion equations, which describe spin-charge coupled transport on the helical metal surface of a three-dimensional topological insulator. The main feature of these equations is a large magnitude of the spin-charge coupling,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , D. G. Hawthorn

The orbital motion of electrons in a three-dimensional solid can generate a pseudoscalar magnetoelectric coupling $\theta$, a fact we derive for the single-particle case using a recent theory of polarization in weakly inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 Andrew M. Essin , Joel E. Moore , David Vanderbilt

The discovery of the topological insulators has fueled a surge of interests in the topological phases in periodic systems. Topological insulators have bulk energy gap and topologically protected gapless edge states. The edge states in…

Mesoscale and Nanoscale Physics · Physics 2016-03-03 Yi-Dong Wu

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the $d$-dimension insulating bulk is confined to ($d-1$)-dimensions, led to several potential applications. Recently, it…