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A peculiar feature of the majority of three dimensional topological insulator surface states studied experimentally thus far, namely their particle-hole asymmetry, makes quantum oscillations (Shubnikov de Haas and de Haas van Alphen…

介观与纳米尺度物理 · 物理学 2013-03-14 Anthony R. Wright

We consider the combined effect of a gap and a Zeeman interaction on the helical Dirac fermions which exist on the surface of a topological insulator. Magneto-optical properties, the magnetization, Hall effect and the density of states are…

介观与纳米尺度物理 · 物理学 2015-06-08 Calvin J. Tabert , J. P. Carbotte

We reconsider the problem of surface states spectrum in type One Dirac metals. We find that the surface states, despite being gapped, always form branches terminating at Dirac points. Furthermore, we consider evolution of the surface states…

强关联电子 · 物理学 2018-08-15 Grigory Bednik

We discuss the Chern number spectrum of ultra-cold fermions in square optical lattices as a function of artificial magnetic, Zeeman and spin-orbit fields that can be tuned independently. We show the existence of topological quantum phase…

量子气体 · 物理学 2019-05-01 Man Hon Yau , C. A. R. Sa de Melo

The surface of a topological insulator is a closed two dimensional manifold. The surface states are described by the Dirac Hamiltonian in curved two dimensional spaces. For a slab-like sample with a magnetic field perpendicular to its top…

介观与纳米尺度物理 · 物理学 2013-05-29 Dung-Hai Lee

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a…

介观与纳米尺度物理 · 物理学 2009-09-24 Shun-Qing Shen

Quantum anomalous Hall (QAH) insulators are two-dimensional (2D) insulating states exhibiting properties similar to those of quantum Hall states but without external magnetic field. They have quantized Hall conductance $\sigma^H=Ce^2/h$,…

介观与纳米尺度物理 · 物理学 2014-01-29 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

A quantum anomalous Hall state with high Chern number has so far been realized in multiplayer structures consisting of alternating magnetic and undoped topological insulator layers. However, in previous proposals, the Chern number can be…

介观与纳米尺度物理 · 物理学 2022-12-28 Yuriko Baba , Mario Amado , Enrique Diez , Francisco Domínguez-Adame , Rafael A. Molina

Chern insulator phase is shown to emerge in two-dimensional arrays of polariton rings where time-reversal symmetry is broken due to the application of an out-of-plane magnetic field. The interplay of Zeeman splitting with the photonic…

介观与纳米尺度物理 · 物理学 2018-09-19 V. K. Kozin , I. V. Iorsh , A. V. Nalitov , I. A. Shelykh

Here we study the systematic evolution of the topological properties of a Chern insulator in presence of an electronic dispersion that can be tuned smoothly from being Dirac-like till a semi-Dirac one and beyond. The band structure under…

介观与纳米尺度物理 · 物理学 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

We investigate how a magnetic field induces one-dimensional edge channels when the two-dimensional surface states of three-dimensional topological insulators become gapped. The Hall effect, measured by contacting those channels, remains…

介观与纳米尺度物理 · 物理学 2013-05-30 Matthias Sitte , Achim Rosch , Ehud Altman , Lars Fritz

We derive the diagram of the topological phases accessible within a generic Hamiltonian describing quantum anomalous Hall effect for photons and electrons in honeycomb lattices in presence of a Zeeman field and Spin-Orbit Coupling (SOC).…

介观与纳米尺度物理 · 物理学 2017-03-22 O. Bleu , D. D. Solnyshkov , G. Malpuech

Starting from a minimal model for a 2D nodal loop semimetal, we study the effect of chiral mass gap terms. The resulting Dirac loop anomalous Hall insulator's Chern number is the phase winding number of the mass gap terms on the loop. We…

介观与纳米尺度物理 · 物理学 2016-10-19 Linhu Li , Miguel A. N. Araújo

We study the interaction between a ferromagnetically ordered medium and the surface states of a topological insulator with a general surface termination. This interaction is strongly crystal face dependent and can generate chiral states…

介观与纳米尺度物理 · 物理学 2013-03-19 Fan Zhang , C. L. Kane , E. J. Mele

Periodically driven systems can host so called anomalous topological phases, in which protected boundary states coexist with topologically trivial Floquet bulk bands. We introduce an anomalous version of reflection symmetry protected…

介观与纳米尺度物理 · 物理学 2019-07-02 Konstantinos Ladovrechis , Ion Cosma Fulga

The quantum anomalous Hall effect is a intriguing topological nontrivial phase arising from spontaneous magnetization and spin-orbit coupling. However, the tremendously harsh realizing requirements of the quantum anomalous Hall effects in…

计算物理 · 物理学 2020-02-18 Ping Li , Tian-Yi Cai

The surface of a three-dimensional topological electron system often hosts symmetry-protected gapless surface states. With the effect of electron interactions, these surface states can be gapped out without symmetry breaking by a surface…

强关联电子 · 物理学 2015-12-08 Yang Qi , Liang Fu

We study the quantum Hall effect of Dirac fermions on the surface of a Wilson-Dirac type topological insulator thin film in the strong topological insulating phase. Although a magnetic field breaks time reversal symmetry of the bulk, the…

介观与纳米尺度物理 · 物理学 2017-03-08 Takeshi Furusawa , Takahiro Fukui

Different from the two-dimensional (2D) topological insulator, the 2D topological crystalline insulator (TCI) phase disappears when the mirror symmetry is broken, e.g., upon placing on a substrate. Here, based on a new family of 2D TCIs -…

介观与纳米尺度物理 · 物理学 2015-06-11 C. Niu , P. M. Buhl , G. Bihlmayer , D. Wortmann , S. Blugel , Y. Mokrousov

Topological insulators lacking time-reversal symmetry can exhibit the quantum anomalous Hall effect. Odd-layer thick MnBi$_2$Te$_4$ is a promising platform due to its intrinsic magnetic nature, however, quantization is rarely observed in…

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