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The bulk-boundary correspondence, which links a bulk topological property of a material to the existence of robust boundary states, is a hallmark of topological insulators. However, in crystalline topological materials the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Sasha S. Yamada , Tianhe Li , Mao Lin , Christopher W. Peterson , Taylor L. Hughes , Gaurav Bahl

Although the richness of spatial symmetries has led to a rapidly expanding inventory of possible topological crystalline (TC) phases of electrons, physical realizations have been slow to materialize due to the practical difficulty to…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

Van der Waals materials enable the construction of atomically sharp interfaces between compounds with distinct crystal and electronic properties. This is dramatically exploited in moir\'e systems, where a lattice mismatch or twist between…

Based on first-principles calculations and symmetry analysis, we predict atomically thin ($1-N$ layers) 2H group-VIB TMDs $MX_2$ ($M$ = Mo, W; $X$ = S, Se, Te) are large-gap higher-order topological crystalline insulators protected by $C_3$…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Shifeng Qian , Gui-bin Liu , Cheng-Cheng Liu , Yugui Yao

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, which shares almost every remarkable property with graphene. The low energy structure of silicene is described by Dirac electrons with relatively large…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 Motohiko Ezawa

The surface of a topological insulator hosts a very special form of a quasi-two dimensional metallic system when it is embedded in a topologically trivial medium like the vacuum. The electronic properties of this unusual 2D metal are…

Mesoscale and Nanoscale Physics · Physics 2012-08-13 M. M. Vazifeh , M. Franz

We discuss a topological classification of insulators and superconductors in the presence of both (non-spatial) discrete symmetries in the Altland-Zirnbauer classification and spatial reflection symmetry in any spatial dimensions. By using…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Ching-Kai Chiu , Hong Yao , Shinsei Ryu

Topological semimetals exhibit band crossings near the Fermi energy, which are protected by the nontrivial topological character of the wave functions. In many cases, these topological band degeneracies give rise to exotic surface states…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Jonathan Zhang , Y. -H. Chan , Ching-Kai Chiu , Maia G. Vergniory , Leslie M. Schoop , Andreas P. Schnyder

Single-layer transition metal dichalcogenides (TMDCs) can adopt two distinct structures corresponding to different coordination of the metal atoms. TMDCs adopting the T-type structure exhibit a rich and diverse set of phenomena, including…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Daniel T. Larson , Wei Chen , Steven B. Torrisi , Jennifer Coulter , Shiang Fang , Efthimios Kaxiras

Topological insulators (TIs) are an important family of quantum materials that exhibit a Dirac point (DP) in the surface band structure but have a finite band gap in bulk. A large degree of spin-orbit interaction and low bandgap is a…

Materials Science · Physics 2024-02-22 Thomas K. Reid , S. Pamir Alpay , Alexander V. Balatsky , Sanjeev K. Nayak

Based on first-principles calculations of structure optimization, phonon modes and finite temperature molecular dynamics, we predict that silicon and germanium have stable, two-dimensional, low-buckled, honeycomb structures. Similar to…

Materials Science · Physics 2010-05-20 Seymur Cahangirov , Mehmet Topsakal , Ethem Akturk , Hasan Sahin , Salim Ciraci

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…

$\alpha$-Sn is an elemental topological material, whose topological phases can be tuned by strain and magnetic field. Such tunability offers a substantial potential for topological electronics. However, InSb substrates, commonly used to…

The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

Strongly Correlated Electrons · Physics 2016-06-21 Yusuke Sugita , Yukitoshi Motome

In this work we investigate novel spherical core-shell nanoparticles with band inversion. The core and the embedding medium are normal semiconductors while the shell material is assumed to be a topological insulator. The envelope functions…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Carolina Martínez-Strasser , Yuriko Baba , Álvaro Díaz-Fernández , Francisco Domínguez-Adame

Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

Mesoscale and Nanoscale Physics · Physics 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

Traditional models of interfacial phonon scattering, including the acoustic mismatch model (AMM) and diffuse mismatch model (DMM), take into account the bulk properties of the material surrounding the interface, but not the atomic structure…

Materials Science · Physics 2021-04-21 Ramya Gurunathan , Riley Hanus , Samuel Graham , Anupam Garg , G. Jeffrey Snyder

Owing to the natural compatibility with current semiconductor industry, silicon allotropes with diverse structural and electronic properties provide promising platforms for the next-generation Si-based devices. After screening 230…

Materials Science · Physics 2018-10-30 Zhifeng Liu , Hongli Xin , Li Fu , Yingqiao Liu , Tielei Song , Xin Cui , Guojun Zhao , Jijun Zhao

We report the recent progress on the theoretical aspects of monolayer topological insulators including silicene, germanene and stanene, which are monolayer honeycomb structures of silicon, germanium and tin, respectively. They show quantum…

Mesoscale and Nanoscale Physics · Physics 2015-12-25 Motohiko Ezawa
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