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Topological insulators (TIs) and topological crystalline insulators (TCIs) are materials with unconventional electronic properties, making their discovery highly valuable for practical applications. However, such materials, particularly…

Materials Science · Physics 2026-05-21 Haosheng Xu , Dongheng Qian , Zhixuan Liu , Yadong Jiang , Jing Wang

Three dimensional (3D) topological insulators (TIs) are an important class of materials with applications in electronics, spintronics and quantum computing. With the recent development of truly bulk insulating 3D TIs, it has become possible…

Topological insulators are new quantum states with helical gapless edge or surface states inside the bulk band gap.These topological surface states are robust against the weak time-reversal invariant perturbations, such as lattice…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Haijun Zhang , Shou-Cheng Zhang

Topological Insulators (TIs) are unique materials where insulating bulk hosts linearly dispersing surface states protected by the Time-Reversal Symmetry (TRS). These states lead to dissipationless current flow, which makes this class of…

Materials Science · Physics 2022-05-19 Ankita Phutela , Preeti Bhumla , Manjari Jain , Saswata Bhattacharya

Granular conductors form an artificially engineered class of solid state materials wherein the microstructure can be tuned to mimic a wide range of otherwise inaccessible physical systems. At the same time, topological insulators (TIs) have…

Materials Science · Physics 2017-06-05 Abhishek Banerjee , Oindrila Deb , Kunjalata Majhi , R. Ganesan , Diptiman Sen , P. S. Anil Kumar

We study the bulk and boundary properties of fragile topological insulators (TIs) protected by inversion symmetry, mostly focusing on the class A of the Altland-Zirnbauer classification. First, we propose an efficient method for diagnosing…

Mesoscale and Nanoscale Physics · Physics 2019-11-21 Yoonseok Hwang , Junyeong Ahn , Bohm-Jung Yang

Topological Insulator (TI) has recently emerged as an attractive candidate for possible application to spintronic circuits because of its strong spin orbit coupling. TIs are unique materials that have an insulating bulk but conducting…

Materials Science · Physics 2015-07-31 Ahmed K. Reza , Xuanyao Fong , Zubair Al Azim , Kaushik Roy

An acoustic topological insulator (TI) is synthesized using topology optimization, a free material inverse design method. The TI appears spontaneously from the optimization process without imposing requirements on the existence of pseudo…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Rasmus E. Christiansen , Fengwen Wang , Ole Sigmund

Density-functional Theory (DFT) approaches have recently been used to judge the topological order of various materials despite its well-known band gap underestimation. Use of the more accurate quasi-particle GW approach reveals here few…

Materials Science · Physics 2015-05-27 Julien Vidal , Xiuwen Zhang , Liping Yu , Jun-Wei Luo , Alex Zunger

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

First principles simulations are conducted to shed light on the question of whether a two-dimensional topological insulator (2DTI) phase may be obtained at the interface between InAs and GaSb. To this end, the InAs/GaSb interface is…

Computational Physics · Physics 2021-08-25 Shuyang Yang , Derek Dardzinski , Andrea Hwang , Dmitry I. Pikulin , Georg W. Winkler , Noa Marom

Three-dimensional strong topological insulators (TIs) guarantee the existence of a 2-D conducting surface state which completely covers the surface of the TI. The TI surface state necessarily wraps around the TI's top, bottom, and two…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Vincent E. Sacksteder , Kristin Bjorg Arnardottir , Stefan Kettemann , Ivan A. Shelykh

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

The recent discovery of topological insulator (TI) offers new opportunities for the development of thermoelectrics, because many TIs (like Bi$_2$Te$_3$) are excellent thermoelectric (TE) materials. In this review, we will first describe the…

Materials Science · Physics 2016-10-26 Yong Xu

Topological insulators (TIs) are a recently discovered class of quantum materials that are currently attracting considerable attention. The most interesting aspect of the TIs is, in fact, not that they are bulk insulators but that their…

Strongly Correlated Electrons · Physics 2015-06-11 Philip Hofmann

The most interesting experimental results obtained in studies of 2D and 3D topological insulators (TIs) based on HgTe quantum wells and films are reviewed. In the case of 2D TIs, these include the observation of nonlocal ballistic and…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Z. D. Kvon , D. A. Kozlov , E. B. Olshanetsky , G. M. Gusev , N. N. Mikhailov , S. A. Dvoretsky

Topological insulators (TIs) are quantum materials combining insulating bulk properties with conductive surface states protected by time-reversal symmetry. Their unique electromagnetic behavior originates from the topological…

Optics · Physics 2025-02-19 Sebastián Filipini

Fractional topological insulators (FTI) are electronic topological phases in $(3+1)$ dimensions enriched by time reversal (TR) and charge $U(1)$ conservation symmetries. We focus on the simplest series of fermionic FTI, whose bulk…

Strongly Correlated Electrons · Physics 2017-10-25 Sharmistha Sahoo , Alexander Sirota , Gil Young Cho , Jeffrey C. Y. Teo

Topological insulators (TIs) are a new quantum state of matter which have gapless surface states inside the bulk energy gap. Starting with the discovery of two dimensional TIs, the HgTe-based quantum wells, many new topological materials…

Materials Science · Physics 2012-12-03 Lukas Müchler , Frederick Casper , Binghai Yan , Stanislav Chadov , Claudia Felser
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