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The temperature dependence of the magneto-conductivity in graphene shows that the widths of the longitudinal conductivity peaks, for the N=1 Landau level of electrons and holes, display a power-law behavior following $\Delta \nu \propto…

Mesoscale and Nanoscale Physics · Physics 2009-12-17 A. J. M. Giesbers , U. Zeitler , L. A. Ponomarenko , R. Yang , K. S. Novoselov , A. K. Geim , J. C. Maan

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 J. Guillemette , S. S. Sabri , B. Wu , K. Bennaceur , P. E. Gaskell , M. Savard , P. L. Lévesque , F. Mahvash , A. Guermoune , M. Siaj , R. Martel , T. Szkopek , G. Gervais

We have measured the quantum-Hall activation gaps in graphene at filling factors $\nu=2$ and $\nu=6$ for magnetic fields up to 32 T and temperatures from 4 K to 300 K. The $\nu =6$ gap can be described by thermal excitation to broadened…

Mesoscale and Nanoscale Physics · Physics 2007-11-19 A. J. M. Giesbers , U. Zeitler , M. I. Katsnelson , L. A. Ponomarenko , T. M. G. Mohiuddin , J. C. Maan

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…

Materials Science · Physics 2017-04-11 Shanshan Su , Yafis Barlas , Roger K. Lake

The recent Quantum Hall experiments in graphene have confirmed the theoretically well-understood picture of the quantum Hall (QH) conductance in fermion systems with continuum Dirac spectrum. In this paper we take into account the lattice,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Andrei Bernevig , Taylor L. Hughes , Han-Dong Chen , Congjun Wu , Shou-Cheng Zhang

In this Letter, we present a comprehensive study of magnetotransport in high-mobility trilayer graphene (TLG) devices under a transverse displacement field, focusing on symmetry-broken Landau levels (LLs) from monolayer-like and…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Simrandeep Kaur , Unmesh Ghorai , Abhisek Samanta , Kenji Watanabe , Takashi Taniguchi , Rajdeep Sensarma , Aveek Bid

Based upon spin-lattice interaction, we propose a theoretical model for the phonon Hall effect in paramagnetic dielectrics. The thermal Hall conductivity is calculated by using the Kubo formula. Our theory reproduces the essential…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Sheng , D. N. Sheng , C. S. Ting

The lower-symmetry trilayer AAB-stacked graphene exhibits rich electronic properties and thus diverse Coulomb excitations. Three pairs of unusual valence and conduction bands create nine available interband excitations for the undoped case,…

Materials Science · Physics 2018-12-05 Chiun-Yan Lin , Bor-Luen Huang , Godfrey Gumbs , Ming-Fa Lin

We study the Landau level spectrum of ABA- and ABC-stacked trilayer graphene. We derive analytic low energy expressions for the spectrum, the validity of which is confirmed by comparison to a \pi -band tight-binding calculation of the…

Mesoscale and Nanoscale Physics · Physics 2011-10-04 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

The multi-component nature of bilayer graphene (BLG), together with the ability to controllably tune between the various ground state orders, makes it a rich system in which to explore interaction driven phenomena. In the fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 J. I. A. Li , C. Tan , S. Chen , Y. Zeng , T. Taniguchi , K. Watanabe , J. Hone , C. R. Dean

Strong Goos-H\"anchen (GH) effect at a prism-graphene interface in the quantum Hall effect (QHE) condition is reported. Based on the full quantum description of the temperature-dependent surface conductivity of graphene present in the…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 D. Jahani , O. Akhavan , A. Alidoust Ghatar

We construct an effective Hamiltonian for electrons in the fractional quantum Hall regime for GaAs and graphene that takes into account Landau level mixing (for both GaAs and graphene) and subband mixing (for GaAs, due to the nonzero width…

Mesoscale and Nanoscale Physics · Physics 2013-07-03 Michael R. Peterson , Chetan Nayak

We present a microscopic theory to give a physical picture of the formation of quantum anomalous Hall (QAH) effect in graphene due to a joint effect of Rashba spin-orbit coupling $\lambda_R$ and exchange field $M$. Based on a continuum…

Materials Science · Physics 2012-03-29 Zhenhua Qiao , Hua Jiang , Xiao Li , Yugui Yao , Qian Niu

We have measured the quantum Hall effect in monolayer graphene samples that were exposed to a cold hydrogen plasma leading to a hydrogenation level of a few percent. Compared to pristine graphene, the Landau level distance significantly…

The realization of fractional Chern insulators in moir\'e materials has sparked the search for further novel phases of matter in this platform. In particular, recent works have demonstrated the possibility of realizing quantum anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

In a GaAs/AlGaAs two-dimensional electron system with two occupied subbands, the experimentally determined phase diagram in the density-magnetic field plane exhibits rich topological features. Ring-like structures are observed at even…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. C. Zhang , D. R. Faulhaber , H. W. Jiang

Recently, Rodriguez-Lopez, Wang, and Antezza [Phys. Rev. B v.111, 115428 (2025)] compared the theoretical descriptions of electric conductivity of graphene given by the Kubo model and quantum field theory in terms of the polarization…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 M. Bordag , N. Khusnutdinov , G. L. Klimchitskaya , V. M. Mostepanenko

Flat band electronic modes in twisted graphene bilayers are responsible for superconducting and other highly correlated electron-electron phases. Although some hints were known of a possible connection between the quantum Hall effect and…

Mesoscale and Nanoscale Physics · Physics 2023-05-10 Leonardo A. Navarro-Labastida , Gerardo G. Naumis

We study nonlinear optical response of graphene in the quantum Hall regime to an intense laser pulse. In particular, we consider harmonic generation process. We demonstrate that the generalized magneto-optical conductivity of graphene on…

Mesoscale and Nanoscale Physics · Physics 2016-11-01 H. K. Avetissian , G. F. Mkrtchian

We report on the possibility to simultaneously generate in graphene a {\it bulk valley-polarized dissipative transport} and a {\it quantum valley Hall effect} by combining strain-induced gauge fields and real magnetic fields. Such unique…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Mikkel Settnes , José Hugo García , Stephan Roche