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Based on group theoretical arguments we derive the most general Hamiltonian for the $\text{Bi}_2\text{Se}_3$-class of materials including terms to third order in the wave vector, first order in electric and magnetic fields, first order in…

Materials Science · Physics 2018-09-11 Mathias Rosdahl Jensen , Jens Paaske , Anders Mathias Lunde , Morten Willatzen

Three-dimensional topological insulators (3D-TIs) possess a specific topological order of electronic bands, resulting in gapless surface states via bulk-edge correspondence. Exotic phenomena have been realized in ferromagnetic TIs, such as…

Materials Science · Physics 2020-04-29 Y. Satake , J. Shiogai , G. P. Mazur , S. Kimura , S. Awaji , K. Fujiwara , T. Nojima , K. Nomura , S. Souma , T. Sato , T. Dietl , A. Tsukazaki

The topological state that emerges at the surface of a topological insulator (TI) and at the TI-substrate interface are studied in metal-hBN-Bi2Se3 capacitors. By measuring the RF admittance of the capacitors versus gate voltage, we extract…

A topological Kondo insulator (TKI) is a strongly-correlated material, where hybridization between the conduction electrons and localized f-electrons gives rise to a crossover from a metallic behavior at high temperatures to a topologically…

Mesoscale and Nanoscale Physics · Physics 2015-02-20 Dmitry K. Efimkin , Victor Galitski

The surface of a three-dimensional topological insulator (TI) hosts two-dimensional massless Dirac fermions (DFs), the gapless and spin-helical nature of which yields many exotic phenomena, such as the immunity of topological surface states…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 Mu Chen , Yeping Jiang , Junping Peng , Huimin Zhang , Cui-Zu Chang , Xiao Feng , Zhenguo Fu , Fawei Zheng , Ping Zhang , Lili Wang , Ke He , Xu-Cun Ma , Qi-Kun Xue

The emerging field of spinoptronics has a potential to supersede the functionality of modern electronics, while a proper description of strong light-matter coupling pose the most intriguing questions from both fundamental scientific and…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 D. Yudin , O. V. Kibis , I. A. Shelykh

Topological insulators represent novel phases of quantum matter with an insulating bulk gap and gapless edges or surface states. The two-dimensional topological insulator phase was predicted in HgTe quantum wells and confirmed by transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Hailin Peng , Keji Lai , Desheng Kong , Stefan Meister , Yulin Chen , Xiao-Liang Qi , Shou-Cheng Zhang , Zhi-Xun Shen , Yi Cui

Topological insulators (TI) are materials having an energy band gap in the bulk and conducting helical electronic states on the surface. The helical states are protected by time reversal symmetry thus are expected to be robust against…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 Xue-Feng Wang , Yibin Hu , Hong Guo

In this tutorial, we pedagogically review recent developments in the field of non-interacting fermionic phases of matter, focussing on the low energy description of higher-order topological insulators in terms of the Dirac equation. Our aim…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Frank Schindler

KZnBi was discovered recently as a new three-dimensional Dirac semimetal with a pair of bulk Dirac fermions in contrast to the $\mathbb{Z}_2$ trivial insulator reported earlier. In order to address this discrepancy, we have performed…

Materials Science · Physics 2024-05-07 Rahul Verma , Bikash Patra , Bahadur Singh

The relativistic Dirac equation covers the fundamentals of electronic phenomena in solids and as such it effectively describes the electronic states of the topological insulators like Bi$_2$Se$_3$ and Bi$_2$Te$_3$. Topological insulators…

Strongly Correlated Electrons · Physics 2022-11-24 Hiroki Isobe , Naoto Nagaosa

The massless Dirac electrons found at topological insulator surfaces are thought to be influenced very little by weak, non-magnetic disorder. However, a resonance effect of strongly perturbing non-magnetic impurities has been theoretically…

Three-dimensional topological insulators (TIs) exhibit time-reversal symmetry protected, linearly dispersing Dirac surface states. Band bending at the TI surface may also lead to coexisting trivial two-dimensional electron gas (2DEG) states…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Connie H. Li , Olaf M. J. van t Erve , Shivani Rajput , Lian Li , Berry T. Jonker

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…

Nontrivial topology in type-II Dirac semimetal NiTe$_2$ leading to topologically protected surface states give rise to fascinating phenomena holding great promise for next-generation electronic and spintronic devices. Key parameters $-$…

Strongly Correlated Electrons · Physics 2025-06-13 Neeraj Bhatt , Asif Ali , Deepali Sharma , Sakshi Bansal , Manasi Mandal , Ravi Prakash Singh , Ravi Shankar Singh

The protected surface states of topological insulators (TIs) form gapless Dirac cones corresponding non-degenerate eigenstates with helical spin polarisation. The presence of a warping term deforms the isotropic cone of the most simple…

Materials Science · Physics 2020-07-02 Peter Thalmeier , Alireza Akbari

The surface of a topological crystalline insulator (TCI) carries an even number of Dirac cones protected by crystalline symmetry. We epitaxially grew high quality Pb$_{1-x}$Sn$_x$Te(111) films and investigated the TCI phase by in-situ…

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

Topological insulators represent a new quantum state of matter that are insulating in the bulk but metallic on the edge or surface. In the Dirac surface state, it is well-established that the electron spin is locked with the crystal…

Topological insulators (TIs) constitute a new class of materials with unique properties resulting from the relativistic-like character and topological protection of their surface states. Theory predicts these to exhibit a rich variety of…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 Hadar Steinberg , Dillon R. Gardner , Young S. Lee , Pablo Jarillo-Herrero