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The electronic spectrum of three coupled graphene layers (graphene trilayers) is investigated in the presence of an external magnetic field. We obtain analytical expressions for the Landau level spectrum for both the ABA and ABC - type of…

Mesoscale and Nanoscale Physics · Physics 2011-07-06 J. M. Pereira , S. H. R. Sena , F. M. Peeters , G. A. Farias

We describe the effects of vacancies on the electronic properties of a graphene sheet in the presence of a perpendicular magnetic field: from a single defect to an organized vacancy lattice. An isolated vacancy is the minimal possible inner…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 A. L. C. Pereira , P. A. Schulz

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, evolve into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 K. Shizuya

First-order phase transitions produce abrupt changes to the character of both ground and excited electronic states. Here we conduct electronic compressibility measurements to map the spin phase diagram and Landau level (LL) energies of…

The combined effects of defect-defect interaction and of uniaxial or biaxial strains of up to 10\% on the development of magnetic states on the defect-core-localized quasi-one-dimensional electronic states generated by the so-called 558…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 Simone S. Alexandre , R. W. Nunes

Essential properties of multilayer graphenes are diversified by the number of layers and the stacking configurations. For an $N$-layer system, Landau levels are divided into $N$ groups, with each identified by a dominant sublattice…

Computational Physics · Physics 2015-06-23 Chiun-Yan Lin , Jhao-Ying Wu , Yih-Jon Ou , Yu-Huang Chiu , Ming-Fa Lin

Adsorbates can drastically alter physical properties of graphene. Particularly important are adatoms and admolecules that induce resonances at the Dirac point. Such resonances limit electron mobilities and spin relaxation times. We present…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Jeongsu Lee , Denis Kochan , Jaroslav Fabian

We describe the gated bilayer graphene system when it is subjected to intense terahertz frequency electromagnetic radiation. We examine the electron band structure and density of states via exact diagonalization methods within Floquet…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

Magneto-optical transitions between Landau levels can provide precise spectroscopic information on the electronic structure and excitation spectra of graphene, enabling probes of substrate and many-body effects. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 L. A. Chizhova , J. Burgdörfer , F. Libisch

Magnetotransport measurements are performed in ultraclean (lithographically patterned) graphene nanoribbons down to 70 nm. At high magnetic fields, a fragmentation of the electronic spectrum into a Landau levels pattern with unusual…

Two-dimensional gapped semi-Dirac (GSD) materials are systems with a finite band gap that their charge carriers behave relativistically in one direction and Schr\"odinger-like in the other. In the present work, we show that besides the two…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Esmaeil Taghizadeh Sisakht , Farhad Fazileh , S. Javad Hashemifar , Francois M. Peeters

We review recent work on superlattices in monolayer and bilayer graphene. We highlight the role of the quasiparticle chirality in generating new Dirac fermion modes with tunable anisotropic velocities in one dimensional (1D) superlattices…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Matthew Killi , Si Wu , Arun Paramekanti

Scanning tunneling microscopy and spectroscopy in magnetic field was used to study Landau quantization in graphene and its dependence on charge carrier density. Measurements were carried out on exfoliated graphene samples deposited on a…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Adina Luican , Guohong Li , Eva Y. Andrei

We report capacitors in which a finite electronic compressibility of graphene dominates the electrostatics, resulting in pronounced changes in capacitance as a function of magnetic field and carrier concentration. The capacitance…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 L. A. Ponomarenko , R. Yang , R. V. Gorbachev , P. Blake , M. I. Katsnelson , K. S. Novoselov , A. K. Geim

This work investigates the influence of low temperature and broadened Landau levels on the thermodynamic properties of two-dimensional electron systems. The interplay between these two physical parameters on the magnetic field dependence of…

Mesoscale and Nanoscale Physics · Physics 2008-05-28 Rayda Gammag , Cristine Villagonzalo

The effect of a weak electrical modulation on spin Hall resonance is presented here. In presence of the magnetic field normal to the plane of the motion of electron, the Landau levels are formed which get broadened due to the weak…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 SK Firoz Islam

We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated…

Mesoscale and Nanoscale Physics · Physics 2011-02-28 Jianmin Sun , H. A. Fertig , L. Brey

We study the changes induced by the effective gauge field due to ripples on the low energy electronic structure of graphene. We show that zero energy Landau levels will form, associated to the smooth deformation of the graphene layer, when…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Guinea , M. I. Katsnelson , M. A. H. Vozmediano

The relativistic-like behavior of electrons in graphene significantly influences the interaction properties of these electrons in a quantizing magnetic field, resulting in more stable fractional quantum Hall effect states as compared to…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Tapash Chakraborty , Vadim Apalkov

The complex nature of filling factor $\nu$=0 of monolayer graphene is studied in magnetotransport experiments. As function of perpendicular magnetic field a metal-insulator transition is observed, which is attributed to disorder-induced…

Mesoscale and Nanoscale Physics · Physics 2019-08-08 Sung Ju Hong , Christopher Belke , Johannes C. Rode , Benedikt Brechtken , Rolf J. Haug