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The tight-binding model of electrons in graphene is reviewed. We derive low-energy Hamiltonians supporting massless Dirac-like chiral fermions and massive chiral fermions in monolayer and bilayer graphene, respectively, and we describe how…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Edward McCann

Bilayer graphene in a magnetic field hosts a variety of ordered phases built from eight Landau levels close in energy to the neutrality point. These levels are characterized by orbital $n=0,1$, valley $\xi=+,-$ and spin…

Mesoscale and Nanoscale Physics · Physics 2020-05-25 Brett R. Green , Jorge O. Sofo

We show that topology of the low-energy band structure in bilayer graphene critically depends on mechanical deformations of the crystal which may easily develop in suspended graphene flakes. We describe the Lifshitz transition that takes…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 Marcin Mucha-Kruczynski , Igor L. Aleiner , Vladimir I. Fal'ko

We study electromagnetic properties of a double layer graphene system in which electrons from one layer are coupled with holes from the other layer. The gauge invariant linear response functions are obtained. The frequency dependences of…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 K. V. Germash , D. V. Fil

The 2D Fermi surface of 1st stage PdAl2Cl8 acceptor-type graphite intercalation compounds (GICs) has been investigated using the Shubnikov-de Haas (SdH) effect. One fundamental frequency is observed, the angular variation of which confirms…

Materials Science · Physics 2007-05-23 R. T. F. van Schaijk , A. de Visser , E. McRae , B. Sundqvist , T. Wagberg , R. Vangelisti

We report on microscopic measurements of the low-energy electronic structures both at zigzag and armchair edges of bilayer graphene using scanning tunneling microscopy and spectroscopy (STM and STS). We have found that, both in the absence…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Long-Jing Yin , Yu Zhang , Jia-Bin Qiao , Si-Yu Li , Lin He

Bilayer graphene provides a unique platform to explore the rich physics in quantum Hall effect. The unusual combination of spin, valley and orbital degeneracy leads to interesting symmetry broken states with electric and magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Manabendra Kuiri , Anindya Das

Interacting electrons in flat bands give rise to a variety of quantum phases. One fundamental aspect of such states is the ordering of the various flavours - such as spin or valley - that the electrons can undergo and the excitation…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Gelareh Farahi , Cheng-Li Chiu , Xiaomeng Liu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

The quantum Hall (QH) effect in two-dimensional (2D) electrons and holes in high quality graphene samples is studied in strong magnetic fields up to 45 T. QH plateaus at filling factors $\nu=0,\pm 1,\pm 4$ are discovered at magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Zhang , Z. Jiang , J. P. Small , M. S. Purewal , Y. -W. Tan , M. Fazlollahi , J. D. Chudow , J. A. Jaszczak , H. L. Stormer , P. Kim

Electrons moving in graphene behave as massless Dirac fermions, and they exhibit fascinating low-frequency electrical transport phenomena. Their dynamic response, however, is little known at frequencies above one terahertz (THz). Such…

We report the observation of strongly temperature-dependent, asymmetric spectral lines in electronic Raman scattering spectra of graphite in a high magnetic field up to 45 T applied along the c-axis. The magnetic field quantizes the…

Mesoscale and Nanoscale Physics · Physics 2014-03-06 Y. Ma , Y. Kim , N. G. Kalugin , A. Lombardo , A. C. Ferrari , J. Kono , A. Imambekov , D. Smirnov

It is known that in two-dimensional relativistic Dirac systems placed in orthogonal uniform magnetic and electric fields, the Landau levels collapse as the applied in-plane electric field reaches a critical value $\pm E_c$. We study this…

Mesoscale and Nanoscale Physics · Physics 2022-08-04 I. O. Nimyi , V. Könye , S. G. Sharapov , V. P. Gusynin

We investigate the electronic spectra and quantum Hall effect in twisted bilayer graphenes with various rotation angles under magnetic fields, using a model rigorously including the interlayer interaction. We describe the spectral evolution…

Mesoscale and Nanoscale Physics · Physics 2012-05-31 Pilkyung Moon , Mikito Koshino

We use temperature-dependent resistivity in small-angle twisted double bilayer graphene to measure bandwidths and gaps of the bands. This electron-hole asymmetric system has one set of non-dispersing bands that splits into two flat bands…

Motivated by the recent observation of correlated insulator states and unconventional superconductivity in twisted bilayer graphene, we study the dependence of electron correlations on the twist angle and reveal the existence of strong…

Strongly Correlated Electrons · Physics 2019-09-18 Zachary A. H. Goodwin , Fabiano Corsetti , Arash A. Mostofi , Johannes Lischner

The accurate modeling of reflection coefficients is pivotal for developing reliable channel models in emerging terahertz (THz) communications. This study establishes a 300$\sim$400 GHz channel measurement platform to measure the reflection…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Taihao Zhang , Chenzhou Lin , Cunhua Pan , Hong Ren , Ruyi Liu , Yongchao He , Tian Qiu , Bingchang Hua , Jiangzhou Wang

Using the tight-binding model, we report a gap opening in the energy spectrum of the twisted bilayer graphene under the application of pressure, that can be further amplified by the presence of a perpendicular bias voltage. The valley edges…

Mesoscale and Nanoscale Physics · Physics 2025-03-27 V. G. M. Duarte , D. R. da Costa , N. M. R. Peres , L. K. Teles , A. J. Chaves

Refined infrared magnetotransmission experiments have been performed in magnetic fields B up to 35 T on a series of multilayer epitaxial graphene samples. Following the main optical transition involving the n=0 Landau level (LL), we observe…

Strongly Correlated Electrons · Physics 2015-06-23 Liang Z. Tan , Milan Orlita , Marek Potemski , James Palmer , Claire Berger , Walter A. de Heer , Steven G. Louie , Gérard Martinez

Bilayer graphene under a magnetic field has an octet of quasidegenerate levels due to spin, valley, and orbital degeneracies. This zero-energy Landau level is resolved into several incompressible states whose nature is still elusive. We use…

Strongly Correlated Electrons · Physics 2016-12-28 Angelika Knothe , Thierry Jolicoeur

The low-frequency magneto-optical absorption spectra of bilayer Bernal graphene are studied within the tight-binding model and gradient approximation. The interlayer interactions strongly affect the electronic properties of the Landau…

Mesoscale and Nanoscale Physics · Physics 2009-08-07 Yen-Hung Ho , Yu-Huang Chiu , De-Hone Lin , Chen-Peng Chang , Ming-Fa Lin