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With the recent observation of graphene-like Landau levels at the surface of topological insulators, the possibility of fractional quantum Hall effect, which is a fundamental signature of strong correlations, has become of interest. Some…

介观与纳米尺度物理 · 物理学 2013-05-21 Ashley M. DaSilva

We study the effect of electron interactions in topological crystalline insulators (TCIs) protected by mirror symmetry, which are realized in the SnTe material class and host multi-valley Dirac fermion surface states. We find that…

强关联电子 · 物理学 2015-08-19 Hiroki Isobe , Liang Fu

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

介观与纳米尺度物理 · 物理学 2009-10-08 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

It is shown that the presence of matrix dipole moments induced by external electric fields can modify the Hall response in two dimensional Topological insulators. In the case of the Quantum Anomalous Hall effect the induced transverse…

介观与纳米尺度物理 · 物理学 2015-06-17 Alberto Cortijo

It is well-known that helical surface states of a three-dimensional topological insulator (TI) do not respond to a static in-plane magnetic field. Formally this occurs because the in-plane magnetic field appears as a vector potential in the…

介观与纳米尺度物理 · 物理学 2013-05-29 A. A. Zyuzin , M. D. Hook , A. A. Burkov

We consider a disordered topological insulator thin film placed on the top of a ferromagnetic insulator with a perpendicular exchange field $M$ and subjected to a perpendicular electric field. The presence of ferromagnetic insulator causes…

介观与纳米尺度物理 · 物理学 2022-11-15 Siamak Pooyan , Mir Vahid Hosseini

Interactions between the surface and the bulk in a strong topological insulator (TI) cause a finite lifetime of the topological surface states (TSS) as shown by the recent experiments. On the other hand, interactions also induce unitary…

强关联电子 · 物理学 2018-07-04 T. Hakioglu

We report transport studies on a three dimensional, 70 nm thick HgTe layer, which is strained by epitaxial growth on a CdTe substrate. The strain induces a band gap in the otherwise semi-metallic HgTe, which thus becomes a three dimensional…

介观与纳米尺度物理 · 物理学 2015-03-17 C. Brüne , C. X. Liu , E. G. Novik , E. M. Hankiewicz , H. Buhmann , Y. L. Chen , X. L. Qi , Z. X. Shen , S. C. Zhang , L. W. Molenkamp

The unconventional (half-integer) quantum Hall effect for a single species of Dirac fermions is analyzed. We discuss possible experimental measurements of the half-integer Hall conductance $g_{xy}$ of topological insulator surface states…

介观与纳米尺度物理 · 物理学 2014-11-05 E. J. König , P. M. Ostrovsky , I. V. Protopopov , I. V. Gornyi , I. S. Burmistrov , A. D. Mirlin

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

无序系统与神经网络 · 物理学 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

Surface-state contributions to the dc conductivity of most homogeneous metals exposed to uniform electric fields are usually as small as the system size is large compared to the lattice constant. In this work, we show that surface states of…

介观与纳米尺度物理 · 物理学 2019-08-19 Maxim Breitkreiz , Piet W. Brouwer

The anomalous surface states of symmetry protected topological (SPT) phases are usually thought to be only possible in conjunction with the higher dimensional topological bulk. However, it has recently been realized that a class of…

强关联电子 · 物理学 2017-12-29 Andrew C. Potter , Chong Wang , Max A. Metlitski , Ashvin Vishwanath

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

介观与纳米尺度物理 · 物理学 2009-11-10 C. L. Kane , E. J. Mele

We demonstrate that introducing altermagnetism on the surface of a weak topological insulator (TI) results in the emergence of a single massless Dirac fermion, exhibiting a parity anomaly. To explore the transport properties induced by this…

介观与纳米尺度物理 · 物理学 2025-09-05 Yu-Hao Wan , Qing-Feng Sun

Topological insulators (TIs) show rich phenomena and functions which can never be realized in ordinary insulators. Most of them come from the peculiar surface or edge states. Especially, the quantized anomalous Hall effect (QAHE) without an…

介观与纳米尺度物理 · 物理学 2015-09-03 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

Topological Hall effect (THE) of electrons coupled to a noncoplanar spin texture has been studied so far for the strong- and weak-coupling regimes separately; the former in terms of the Berry phase and the latter by perturbation theory. In…

介观与纳米尺度物理 · 物理学 2019-05-29 Kazuki Nakazawa , Manuel Bibes , Hiroshi Kohno

Topological features of possible three-dimensional (3D) states in \alpha-type layered organic conductors are investigated within a unified framework based on Wannier charge centers (WCCs), aiming to identify their actual topological states.…

介观与纳米尺度物理 · 物理学 2025-10-03 Toshihito Osada

We investigate topological phases in three-dimensional topological insulator (3DTI) thin films interfaced with altermagnetic (AM) orders. Starting from a modified Dirac equation, we elucidate the interplay between the Wilson mass, arising…

介观与纳米尺度物理 · 物理学 2025-09-05 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

A two-dimensional (2D) topological insulator (TI) exhibits the quantum spin Hall (QSH) effect, in which topologically protected spin-polarized conducting channels exist at the sample edges. Experimental signatures of the QSH effect have…

Motivated by the recent experimental realization of the half-quantized Hall effect phase in a three-dimensional (3D) semi-magnetic topological insulator [M. Mogi et al., Nature Physics 18, 390 (2022)], we propose a scheme for realizing the…

介观与纳米尺度物理 · 物理学 2026-01-08 Fang Qin , Ching Hua Lee , Rui Chen