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Three dimensional topological insulator represents a class of novel quantum phases hosting robust gapless boundary excitations, which is protected by global symmetries such as time reversal, charge conservation and spin rotational symmetry.…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Yuan-Ming Lu , Dung-Hai Lee

We study the effect of electrostatic disorder on the conductivity of a three-dimensional antiferromagnetic insulator (a stack of quantum anomalous Hall layers with staggered magnetization). The phase diagram contains regions where the…

Mesoscale and Nanoscale Physics · Physics 2014-01-13 P. Baireuther , J. M. Edge , I. C. Fulga , C. W. J. Beenakker , J. Tworzydło

A Z2 topological insulator protected by time-reversal symmetry is realized via spin-orbit interaction driven band inversion. For example, the topological phase in the Bi-Sb system is due to an odd number of band inversions. A related…

Manganites are famous mostly for the colossal magnetoresistive effect, which involves the phase separation between ferromagnetic phase and charge-ordered CE-type antiferromagnetic phases. Furthermore, manganites contain some typical…

Materials Science · Physics 2016-03-23 Yang Li , Shuai Dong , Su-Peng Kou

The higher order topological insulator (HOTI) has enticed enormous research interests owing to its novelty in supporting gapless states along the hinges of the crystal. Despite several theoretical predictions, enough experimental…

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

ZrTe$_5$ and HfTe$_5$ have attracted increasingly attention recently since the theoretical prediction of being topological insulators (TIs). However, subsequent works show many contradictions about their topological nature.Three possible…

Materials Science · Physics 2017-04-10 Zongjian Fan , Qi-Feng Liang , Y. B. Chen , Shu-Hua Yao , Jian Zhou

The 'magnetoelectric effect' arises from the coupling between magnetic and electric properties in materials. The Z2 invariant of topological insulators (TIs) leads to a quantized version of this phenomenon, known as the topological…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Di Xiao , Jue Jiang , Jae-Ho Shin , Wenbo Wang , Fei Wang , Yi-Fan Zhao , Chaoxing Liu , Weida Wu , Moses H. W. Chan , Nitin Samarth , Cui-Zu Chang

A 3d electron topological insulator (ETI) is a phase of matter protected by particle-number conservation and time-reversal symmetry. It was previously believed that the surface of an ETI must be gapless unless one of these symmetries is…

Strongly Correlated Electrons · Physics 2015-09-16 Max A. Metlitski , C. L. Kane , Matthew P. A. Fisher

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 are new states of quantum matter with metallic edge/surface states. In this paper, we pointed out that there exists a new type of particle-hole symmetry-protected topological insulator - topological hierarchy…

Strongly Correlated Electrons · Physics 2015-09-23 Jing He , Chun-Li Zang , Ying Liang , Su-Peng Kou

We calculate supercurrent across a two-dimensional topological insulator subjected to an external magnetic field. When the edge states of a narrow two-dimensional topological insulator are hybridized, an external magnetic field can close…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Alexander Zyuzin , Mohammad Alidoust , Jelena Klinovaja , Daniel Loss

Topology is routinely used to understand the physics of electronic insulators. However, for strongly interacting electronic matter, such as Mott insulators, a comprehensive topological characterization is still lacking. When their ground…

Strongly Correlated Electrons · Physics 2024-08-28 Martina O. Soldini , Ömer M. Aksoy , Titus Neupert

Exponentially localized surface states are the most distinctive property of a crystal with non-trivial band topology. Such surface states play a key role in characterizing topological insulators (TIs), both in theory and experiments. TIs…

Strongly Correlated Electrons · Physics 2021-10-29 Shouvik Sur , Pallab Goswami

We study the scattering of edge states of 2D topological insulator (TI) in the uniform external magnetic field due to edge imperfections, common in realistic 2D TI samples. The external magnetic field breaks time reversal (TR) symmetry,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 A. S. Dotdaev , Ya. I. Rodionov , A. V. Rozhkov , P. D. Grigoriev

Topological insulators are new states of matter with a bulk gap and robust gapless surface states protected by time-reversal symmetry. When time-reversal symmetry is broken, the surface states are gapped, which induces a topological…

Materials Science · Physics 2015-03-20 Weidong Luo , Xiao-Liang Qi

In this work, we investigate the topological phase transitions in an effective model for a topological thin film with high-frequency pumping. In particular, our results show that the circularly polarized light can break the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 Fang Qin , Rui Chen , Hai-Zhou Lu

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

Fractional topological insulators are electronic systems that carry fractionally charged excitations, conserve charge and are symmetric to reversal of time. In this review we introduce the basic essential concepts of the field, and then…

Strongly Correlated Electrons · Physics 2016-04-20 Ady Stern

Higher-order topological (HOT) phases feature boundary (such as corner and hinge) modes of codimension $d_c>1$. We here identify an \emph{antiunitary} operator that ensures the spectral symmetry of a two-dimensional HOT insulator and the…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Bitan Roy
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