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The interplay between magnetism and non-trivial topology in magnetic topological insulators (MTI) is expected to give rise to a variety of exotic topological quantum phenomena, such as the quantum anomalous Hall (QAH) effect and the…

Topological insulators represent a novel state of matter with surface charge carriers having a massless Dirac dispersion and locked helical spin polarization. Many exciting experiments have been proposed by theory, yet, their execution have…

Materials Science · Physics 2014-10-27 Katharina Höfer , Christoph Becker , Diana Rata , Jesse Swanson , Peter Thalmeier , Liu Hao Tjeng

The 3D topological insulator (TI) PN junction under magnetic fields presents a novel transport property which is investigated both theoretically and numerically in this paper. Transport in this device can be tuned by the axial magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-08-27 Ning Dai , Yan-Feng Zhou , Peng Lv , Qing-Feng Sun

For the IV-VI semiconductor family we derive an exact relation between the microscopic gap edge wave functions of the bulk insulator and the Dirac-Weyl topological surface state wave function, thus obtaining a fully microscopic surface…

Materials Science · Physics 2017-03-01 N. Klier , S. Sharma , O. Pankratov , S. Shallcross

Recent studies of disorder or non-Hermiticity induced topological insulators inject new ingredients for engineering topological matter. Here we consider the effect of purely non-Hermitian disorders, a combination of these two ingredients,…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Xi-Wang Luo , Chuanwei Zhang

The non-trivialness of a topological insulator (TI) is characterized either by a bulk topological invariant or by the existence of a protected metallic surface state. Yet, in realistic samples of finite size this non-trivialness does not…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 Ken-Ichiro Imura , Mayuko Okamoto , Yukinori Yoshimura , Yositake Takane , Tomi Ohtsuki

We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

Recently, the intrinsic magnetic topological insulator MnBi$_2$Te$_4$ has attracted great attention. It has an out-of-plane antiferromagnetic order, which is believed to open a sizable energy gap in the surface states. This gap, however,…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Hai-Peng Sun , C. M. Wang , Song-Bo Zhang , Rui Chen , Yue Zhao , Chang Liu , Qihang Liu , Chaoyu Chen , Hai-Zhou Lu , X. C. Xie

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

Spin polarization of a topological surface state for GeBi$_2$Te$_4$, the newly discovered three-dimensional topological insulator, has been studied by means of the state of the art spin- and angle-resolved photoemission spectroscopy. It has…

The surfaces of three dimensional topological insulators (3D TIs) are generally described as Dirac metals, with a single Dirac cone. It was previously believed that a gapped surface implied breaking of either time reversal $\mathcal T$ or…

Strongly Correlated Electrons · Physics 2014-04-28 Xie Chen , Lukasz Fidkowski , Ashvin Vishwanath

We study the effects of spatially localized breakdown of time reversal symmetry on the surface of a topological insulator (TI) due to proximity to a helical spin density wave (HSDW). The HSDW acts like an externally applied one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Qiuzi Li , Parag Ghosh , Jay D. Sau , Sumanta Tewari , S. Das Sarma

Topological insulators (TIs) represent a novel quantum state of matter, characterized by edge or surface-states, showing up on the topological character of the bulk wave functions. Allowing electrons to move along their surface, but not…

A topological boundary can be formed at the interface between a trivial and a topological insulator. The difference in the topological index across the junction leads to robust gapless surface states. Optical studies of these states are…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 A. Diaz-Fernandez , N. del Valle , E. Diaz , F. Dominguez-Adame

The canonical understanding of quantum oscillation in metals is challenged by the observation of de Haas-van Alphen effect in an insulator, SmB$_{6}$ [Tan \emph{et al}, Science {\bf349}, 287 (2015)]. Based on a two-band model with inverted…

Strongly Correlated Electrons · Physics 2016-02-02 Long Zhang , Xue-Yang Song , Fa Wang

We report direct imaging of standing waves of the nontrivial surface states of topological insulator Bi$_2$Te$_3$ by using a low temperature scanning tunneling microscope. The interference fringes are caused by the scattering of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Tong Zhang , Peng Cheng , Xi Chen , Jin-Feng Jia , Xucun Ma , Ke He , Lili Wang , Haijun Zhang , Xi Dai , Zhong Fang , Xincheng Xie , Qi-Kun Xue

We investigate the lattice and electronic structures of the bulk and surface of the prototypical layered topological insulators Bi$_2$Se$_3$ and Bi$_2$Te$_3$ using ab initio density functional methods, and systematically compare the results…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 K. Shirali , W. A. Shelton , I. Vekhter

The topology and spin-orbital polarization of two-dimensional (2D) surface electronic states have been extensively studied in this decade. One major interest in them is their close relationship with the parities of the bulk (3D) electronic…

Strongly Correlated Electrons · Physics 2022-09-27 Yoshiyuki Ohtsubo , Toru Nakaya , Takuto Nakamura , Patrick Le Fèvre , François Bertran , Fumitoshi Iga , Shin-Ichi Kimura

We investigate spontaneous and pumped entanglement of two level systems in the vicinity of a photonic topological insulator interface, which supports a nonreciprocal (unidirectional), scattering-immune and topologically-protected surface…

Quantum Physics · Physics 2018-05-25 S. Ali Hassani Gangaraj , George W. Hanson , Mauro Antezza

Topological insulators (TI) are a new class of quantum materials with insulating bulk enclosed by topologically protected metallic boundaries. The surface states of three-dimensional TIs have spin helical Dirac structure, and are robust…