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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

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

The possibility to engineer the coupling of spin and valley physics is explored in ferroelectric oxide heterostructures with eg electronic configuration. We show that the polar structural distortion induces the appearance of spin-valley…

Strongly Correlated Electrons · Physics 2017-02-01 Kunihiko Yamauchi , Paolo Barone , Silvia Picozzi

In this Book Chapter (invited) we briefly review the basic concepts defining topological insulators and focus on elaborating on the key experimental results that revealed and established their symmetry protected (SPT) topological nature. We…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 M. Zahid Hasan , Su-Yang Xu , Madhab Neupane

The three-dimensional topological insulator (originally called "topological insulators") is the first example in nature of a topologically ordered electronic phase existing in three dimensions that cannot be reduced to multiple copies of…

Mesoscale and Nanoscale Physics · Physics 2011-05-03 M. Zahid Hasan , David Hsieh , Yuqi Xia , L. Andrew Wray , Su-Yang Xu , Charles L. Kane

Topological quantum state described by the global invariant has been extensively studied in theory and experiment. In this letter, we investigate the relationship between \emph{Zitterbewegung} and the topology of systems that reflect the…

Quantum Physics · Physics 2022-11-23 Xin Shen , Yan-Qing Zhu , Zhi Li

Quantum simulation, as a state-of-art technique, provides the powerful way to explore topological quantum phases beyond natural limits. Nevertheless, a previously-not-realized three-dimensional (3D) chiral topological insulator, and…

When translational symmetry is broken by bulk disorder, the topological nature of states in topological crystalline systems may change depending on the type of disorder that is applied. In this work, we characterize the phases of a…

Strongly Correlated Electrons · Physics 2021-02-01 Saavanth Velury , Barry Bradlyn , Taylor L. Hughes

Acoustic metamaterials, particularly the topological insulators, exhibit exceptional wave characteristics that have sparked considerable research interest. The study of imperfect interfaces affect is of significant importance for the…

Soft Condensed Matter · Physics 2023-07-31 Tao Feng , Letian Gan , Shiheng Zhao , Zheng Chang , Siyang Li , Yaoting Xue , Xuxu Yang , Tuck-Whye Wong , Tiefeng Li , Weiqiu Chen

Exponentially localized surface states are the most distinctive property of a crystal with non-trivial band topology. Such surface states play a key role in characterizing topological insulators (TIs), both in theory and experiments. TIs…

Strongly Correlated Electrons · Physics 2021-10-29 Shouvik Sur , Pallab Goswami

Topological insulators are a novel class of quantum materials in which time-reversal symmetry, relativistic (spin-orbit) effects and an inverted band structure result in electronic metallic states on the surfaces of bulk crystals. These…

Using spin- and angle-resolved spectroscopy and relativistic many-body calculations, we investigate the evolution of the electronic structure of (Bi$_{1-x}$In$_x$)$_2$Se$_3$ bulk single crystals around the critical point of the trivial to…

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

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

Topological insulators embody a new state of matter characterized entirely by the topological invariants of the bulk electronic structure rather than any form of spontaneously broken symmetry. Unlike the 2D quantum Hall or quantum…

Moir\'e materials have become one of the most active fields in material science in recent years due to their high tunability, and their unique properties emerge from the Moir\'e-scale structure modulation. Here, we propose twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Ikuma Tateishi , Motoaki Hirayama

We study Kondo physics of a spin-$\frac{1}{2}$ impurity in electronic matter with strong spin-orbit interaction, which can be realized by depositing magnetic adatoms on the surface of a three-dimensional topological insulator. We show that…

Strongly Correlated Electrons · Physics 2015-12-10 L. Isaev , G. Ortiz , I. Vekhter

We report an unconventional quantum spin Hall phase in the monolayer T$_\text{d}$-WTe$_2$, which exhibits hitherto unknown features in other topological materials. The low-symmetry of the structure induces a canted spin texture in the $yz$…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Jose H. Garcia , Marc Vila , Chuang-Han Hsu , Xavier Waintal , Vitor M. Pereira , Stephan Roche

Based on fully relativistic first-principles calculations, we studied the topological properties of layered XIn$_2$P$_2$ (X = Ca, Sr). Band inversion can be induced by strain without SOC, forming one nodal ring in the k$_z$ = 0 plane, which…

Materials Science · Physics 2025-11-04 Zhenwei Wang , Guangtao Wang , Xianbiao Shi , Dongyang Wang , Xin Tian

We investigate the interplay between the strong correlation and the spin-orbital coupling in the Kane-Mele-Hubbard model and obtain the qualitative phase diagram via the variational cluster approach. We identify, through an increase of the…

Strongly Correlated Electrons · Physics 2011-06-30 Shun-Li Yu , X. C. Xie , Jian-Xin Li