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This short theoretical review deals with some essential ingredients for the understanding of the quantum Hall effect in graphene in comparison with the effect in conventional two-dimensional electron systems with a parabolic band…

Mesoscale and Nanoscale Physics · Physics 2012-02-03 M. O. Goerbig

In a Bernal-stacked graphene bilayer, an electronic state in Landau level $% N=0$ is described by its guiding-center index $X$ (in the Landau gauge) and by its valley, spin, and orbital indices $\xi =\pm K,\sigma =\pm 1,$ and $% n=0,1.$…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 J. Lambert , R. Côté

In this work, we theoretically find that coherent perfect absorption (CPA) and laser modes can be realized in a two-dimensional cylindrical structure composed of conjugate metamaterials (CMs). The required phase factors of CMs for achieving…

Optics · Physics 2018-02-14 Yangyang Fu , Yadong Xu , Huanyang Chen , Steven A. Cummer

We propose and discuss terahertz electro-absorption modulators based on graphene plasmonic structures. The active device consists of a self-gated pair of graphene layers, which are patterned to structures supporting THz plasmonic…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Berardi Sensale-Rodriguez , Rusen Yan , Mingda Zhu , Debdeep Jena , Lei Liu , Huili Grace Xing

The edge states in the integer quantum Hall effect are known to be significantly affected by electrostatic interactions leading to the formation of compressible and incompressible strips at the boundaries of Hall bars. We show here, in a…

Mesoscale and Nanoscale Physics · Physics 2012-11-20 H. Hettmansperger , F. Duerr , J. B. Oostinga , C. Gould , B. Trauzettel , L. W. Molenkamp

Electrostatic gating lies in the heart of modern FET-based integrated circuits. Usually, the gate electrode has to be placed very close to the conduction channel, typically a few nanometers, in order to achieve efficient tunability.…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Aolin Deng , Cheng Hu , Peiyue Shen , Xingdong Luo , Jiajun Chen , Bosai Lyu , Kenji Watanabe , Takashi Taniguchi , Qi Liang , Jie Ma , Zhiwen Shi

The electromagnetic response of graphene in a magnetic field is studied, with particular emphasis on the quantum features of its ground state (vacuum). The graphene vacuum, unlike in conventional quantum Hall systems, is a dielectric medium…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 K. Shizuya

We theoretically investigate the manipulation of the quantum anomalous Hall effect (QAHE) in graphene by means of the uniaxial strain. The values of Chern number and Hall conductance demonstrate that the strained graphene in presence of…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 G. S. Diniz , M. R. Guassi , F. Qu

Starting from the photon self-energy tensor in a magnetized medium, the 3D complete antisymmetric form of the conductivity tensor is found in the static limit of a fermion system $C$ non-invariant under fermion-antifermion exchange. The…

Mesoscale and Nanoscale Physics · Physics 2011-10-17 A. Pérez Martínez , E. Rodriguez Querts , H. Pérez Rojas , R. Gaitan , S. Rodriguez Romo

In this paper, we exploit the metagrating paradigm to achieve coherent control of absorption and reflection in a two-port device. Employing graphene ribbon as a tunable element allows us to, for the first time, realize a reconfigurable…

Optics · Physics 2020-11-11 Ensiye Ghorbanpour , Sahar Behroozinia , Ali Abdolali

Here we report from our theoretical studies that in biased bilayer graphene, one can induce phase transitions from an incompressible state to a compressible state by tuning the bandgap at a given electron density. Likewise, variation of the…

Materials Science · Physics 2010-03-02 Vadim M. Apalkov , Tapash Chakraborty

We investigate coherent electron dynamics in graphene, interacting with the electric field waveform of two orthogonally polarized, few-cycle laser pulses. Recently, we demonstrated that linearly polarized driving pulses lead to…

Mesoscale and Nanoscale Physics · Physics 2018-11-20 Christian Heide , Takuya Higuchi , Heiko B. Weber , Peter Hommelhoff

Recent measurements of the conductivity of nanoperforated graphene are interpreted in terms of edges states existing near the edge of each nanohole. The perimetric quantization of edge states should result in the formation of a…

Mesoscale and Nanoscale Physics · Physics 2017-03-14 V. V. Enaldiev , V. A. Volkov

Graphene, a monolayer of carbon atoms arranged in a hexagonal pattern, provides a unique two-dimensional (2D) system exhibiting exotic phenomena such as quantum Hall effects, massless Dirac quasiparticle excitations and universal absorption…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 K. M. Dani , J. Lee , R. Sharma , A. D. Mohite , C. M. Galande , P. M. Ajayan , A. M. Dattelbaum , H. Htoon , A. J. Taylor , R. P. Prasankumar

Terahertz (THz) technology shows great potential in 6G communications and imaging, but faces challenges related to detector sensitivity, noise, and cryogenic operation. Here, we integrate interferometric enhancement of absorption (IEA) from…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Runli Li , Shaojing Liu , Ximiao Wang , Hongjia Zhu , Yongsheng Zhu , Shangdong Li , Huanjun Chen

We derive an analytic expression for the geometric Hall viscosity of non-interacting electrons in a single graphene layer in the presence of a perpendicular magnetic field. We show that a recently-derived formula in [C. Hoyos and D. T. Son,…

Mesoscale and Nanoscale Physics · Physics 2016-09-19 Mohammad Sherafati , Alessandro Principi , Giovanni Vignale

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…

Mesoscale and Nanoscale Physics · Physics 2014-11-27 Bitan Roy , Malcolm P. Kennett , S. Das Sarma

The two-dimensional quantum anomalous Hall (QAH) effect is direct evidence of non-trivial Berry curvature topology in condensed matter physics. Searching for QAH in 2D materials, particularly with simplified fabrication methods, poses a…

Mesoscale and Nanoscale Physics · Physics 2024-04-22 Yueh-Ting Yao , Suyang Xu , Tay-Rong Chang

We numerically study the quantum Hall effect in biased bilayer graphene based on a tight-binding model in the presence of disorder. Integer quantum Hall plateaus with quantized conductivity $\sigma_{xy}=\nu e^2/h$ (where $\nu$ is any…

Mesoscale and Nanoscale Physics · Physics 2009-07-29 R. Ma , L. J. Zhu , L. Sheng , M. Liu , D. N. Sheng

Skyrmions are topologically protected spin textures, characterized by a topological winding number N , that occur spontaneously in some magnetic materials. Recent experiments have demonstrated the capability to grow graphene on top Fe/Ir, a…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 J. L. Lado , J. Fernandez-Rossier