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Topological insulators (TIs) present a neoteric class of materials, which support delocalised, conducting surface states despite an insulating bulk. Due to their intriguing electronic properties, their optical properties have received…

The concept of topological insulator (TI) has introduced a new point of view to condensed-matter physics, relating a priori unrelated subfields such as quantum (spin, anomalous) Hall effects, spin-orbit coupled materials, some classes of…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 Yukinori Yoshimura , Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

Three-dimensional (3D) topological insulators (TI) are novel quantum materials with insulating bulk and topologically protected metallic surfaces with Dirac-like band structure. The spin-helical Dirac surface states are expected to host…

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

Topological insulators (TIs) are a class of materials characterized by an insulting bulk and high mobility topologically protected surface states, making them promising candidates for future optoelectronic and quantum devices. Although…

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

We consider a thin film of a topological insulator (TI) sandwiched between two ferromagnetic (FM) layers. The system is additionally under an external gate voltage. The surface electron states of TI are magnetized due to the magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Piotr Pigoń , Anna Dyrdał

Topological Insulators (TIs) exhibit exciting optical properties, which opens up a new pathway to generate ultrashort pulses from fiber lasers. Layered TIs display distinct saturable absorption property due to excited state absorption, as…

Materials Science · Physics 2021-05-20 Shyamal Mondal , Rounak Ganguly , Krishnakanta Mondal

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

Topological insulators (TI) are bulk insulators that possess robust chiral conducting states along their interfaces with normal insulators. A tremendous research effort has recently been devoted to TI-based heterostructures, in which…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Gufeng Zhang , Xiaoguang Li , Guangfen Wu , Jie Wang , Dimitrie Culcer , Efthimios Kaxiras , Zhenyu Zhang

Topological insulators (TIs) are materials that are insulating in the bulk but have zero band gap surface states with linear dispersion and are protected by time reversal symmetry. These unique characteristics could pave the way for many…

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

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Topological insulator (TI) represents an unconventional quantum phase of matter with insulating bulk bandgap and metallic surface states. Recent theoretical calculations and photoemission spectroscopy measurements show that Group V-VI…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 Desheng Kong , Wenhui Dang , Judy J. Cha , Hui Li , Stefan Meister , Hailin Peng , Zhongfan Liu , Yi Cui

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

Topological insulators (TIs) are novel materials that manifest spin-polarized Dirac states on their surfaces or at interfaces made with conventional matter. We have measured the electron kinetics of bulk doped TI Bi$_2$Se$_3$ with angle…

Materials Science · Physics 2012-06-07 L. A. Wray , M. Neupane , S. -Y. Xu , Y. -Q. Xia , A. V. Fedorov , H. Lin , S. Basak , A. Bansil , Y. S. Hor , R. J. Cava , M. Z. Hasan

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

Topological insulators (TIs) have attracted much attention due to their spin-polarized surface and edge states, whose origin in symmetry gives them intriguing quantum-mechanical properties. Robust control over the chemical potential of TI…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Andrew L. Yeats , Yu Pan , Anthony Richardella , Peter J. Mintun , Nitin Samarth , David D. Awschalom

Three-dimensional (3D) topological insulators (TIs) are candidate materials for various electronic and spintronic devices due to their strong spin-orbit coupling and unique surface electronic structure. Rapid, low-cost preparation of…

A topological insulator (TI) is an unusual quantum state in which the insulating bulk is topologically distinct from vacuum, resulting in a unique metallic surface that is robust against time-reversal invariant perturbations. These surface…

Strongly Correlated Electrons · Physics 2013-10-28 D. J. Kim , S. Thomas , T. Grant , J. Botimer , Z. Fisk , Jing Xia

Commonly materials are classified as either electrical conductors or insulators. The theoretical discovery of topological insulators (TIs) in 2005 has fundamentally challenged this dichotomy. In a TI, spin-orbit interaction generates a…

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