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Topological aspects of graphene are reviewed focusing on the massless Dirac fermions with/without magnetic field. Doubled Dirac cones of graphene are topologically protected by the chiral symmetry. The quantum Hall effect of the graphene is…

介观与纳米尺度物理 · 物理学 2012-04-30 Yasuhiro Hatsugai

It has been recently established that optoelectronic and non-linear transport experiments can give direct access to the dipole moment of the Berry curvature in non-magnetic and non-centrosymmetric materials. Thus far, non-vanishing Berry…

介观与纳米尺度物理 · 物理学 2019-11-22 Raffaele Battilomo , Niccolo' Scopigno , Carmine Ortix

In a heterostructure of graphene and the ferromagnetic insulator EuO, the Eu atoms induce proximity exchange and inter-valley interactions in the graphene layer. Constrained by the lattice symmetries, and guided by ab initio calculations, a…

材料科学 · 物理学 2017-04-11 Shanshan Su , Yafis Barlas , Roger K. Lake

Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional…

介观与纳米尺度物理 · 物理学 2009-06-08 Z. Papić , M. O. Goerbig , N. Regnault

The original motivation of great interest to topological insulators was the hope to observe the quantum spin Hall effect. Therefore if a material is in the topological insulator state they frequently call it the quantum spin Hall state.…

介观与纳米尺度物理 · 物理学 2015-05-28 E. B. Sonin

We propose a new approach to generate and detect spin currents in graphene, based on a large spin-Hall response arising near the neutrality point in the presence of external magnetic field. Spin currents result from the imbalance of the…

介观与纳米尺度物理 · 物理学 2011-08-24 D. A. Abanin , R. V. Gorbachev , K. S. Novoselov , A. K. Geim , L. S. Levitov

As one of the first proposed topologically protected states, the quantum spin Hall effect in graphene relies critically on the existence of a spin-dependent gap at the K/K' points of the Brillouin zone. Using a tight-binding formulation…

介观与纳米尺度物理 · 物理学 2013-07-10 Warren J. Elder , Eng Soon Tok , Dimitri D. Vvedensky , Jing Zhang

Monolayer graphene in a strong magnetic field exhibits quantum Hall states at filling fractions $\nu = 0$ and $\nu = \pm 1$ that are not explained within a picture of noninteracting electrons. We propose that these states arise from…

介观与纳米尺度物理 · 物理学 2014-11-27 Bitan Roy , Malcolm P. Kennett , S. Das Sarma

We study spin-Hall effects in time-reversal symmetry (TRS) broken systems such as triplet chiral superconductors and TRS preserved ones such as graphene. For chiral triplet superconductors, we show that the edge states carry a quantized…

超导电性 · 物理学 2009-11-11 K. Sengupta , Rahul Roy , Moitri Maiti

When passing an optical medium in the presence of a magnetic field, the polarization of light can be rotated either when reflected at the surface (Kerr effect) or when transmitted through the material (Faraday rotation). This phenomenon is…

介观与纳米尺度物理 · 物理学 2017-02-28 Viet Hung Nguyen , Aurélien Lherbier , Jean-Christophe Charlier

Low-energy transport measurements in Quantum Hall systems have been argued to be governed by emergent modular symmetries whose predictions are robust against many of the detailed microscopic dynamics. We propose the recently-observed…

介观与纳米尺度物理 · 物理学 2008-11-26 C. P. Burgess , B. P. Dolan

Theoretical predictions and recent experimental results suggest one can engineer spin Hall effect in graphene by enhancing the spin-orbit coupling in the vicinity of an impurity. We use a Chebyshev expansion of the Kubo-Bastin formula to…

介观与纳米尺度物理 · 物理学 2016-07-01 Jose H. Garcia , Tatiana G. Rappoport

Edge structure plays an essential role in the nature of electronic states in graphene nanoribbons. By focusing on the interplay between this feature and non-trivial topology in the domain of the Dirac confinement problem, this paper…

介观与纳米尺度物理 · 物理学 2017-07-24 J. F. O de Souza , Claudio Furtado

The quantum anomalous Hall (QAH) effect, first proposed in the Haldane model, is a paradigmatic example of the application of band topology in condensed matter physics. The recent experimental discoveries of high Chern number QAH effect in…

介观与纳米尺度物理 · 物理学 2025-03-12 Zhaochen Liu , Jing Wang

The emergence of topological order in graphene is in great demand for the realization of quantum spin Hall states. Recently, it is theoretically proposed that the spin textures of surface states in topological insulator can be directly…

介观与纳米尺度物理 · 物理学 2017-07-06 Liang Zhang , Ben-Chuan Lin , Yan-Fei Wu , Jun Xu , Dapeng Yu , Zhi-Min Liao

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

无序系统与神经网络 · 物理学 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

The search for new quantum spin Hall (QSH) phase and effective manipulations of their edge states are very important for both fundamental sciences and practical applications. Here, we use first-principles calculations to study the…

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Here, we give a theoretical introduction to the quantum anomalous Hall (QAH) effect based on magnetic topological…

介观与纳米尺度物理 · 物理学 2016-11-22 Jing Wang , Biao Lian , Shou-Cheng Zhang

We propose a generalized Dirac fermion description for the electronic state of graphene terminated by a zigzag edge. This description admits a spin-orbit coupling needed to preserve time-reversal invariance of the zigzag confinement,…

介观与纳米尺度物理 · 物理学 2011-07-20 Grigory Tkachov , Martina Hentschel

Recently, the quantum spin Hall effect has been predicted in (111)-oriented thin films of SnSe and SnTe topological crystalline insulators. It was shown that in these films the energy gaps in the two-dimensional band spectrum depend in an…

材料科学 · 物理学 2016-07-20 Shiva Safaei , Marta Galicka , Perla Kacman , Ryszard Buczko