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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

A new family of the low-buckled Dirac materials which includes silicene, germanene, etc. is expected to possess a more complicated sequence of Landau levels than in pristine graphene. Their energies depend, among other factors, on the…

Strongly Correlated Electrons · Physics 2014-11-18 V. Yu. Tsaran , S. G. Sharapov

We examine strain-induced quantized Landau levels in graphene. Specifically, arc-bend strains are found to cause nonuniform pseudomagnetic fields. Using an effective Dirac model which describes the low-energy physics around the nodal…

Mesoscale and Nanoscale Physics · Physics 2012-09-05 Yichen Chang , Tameem Albash , Stephan Haas

We study here the onset of charge density wave instabilities in quantum Hall systems at finite temperature for Landau level filling $\nu>4$. Specific emphasis is placed on the role of disorder as well as an in-plane magnetic field. Beyond…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tudor Stanescu , Ivar Martin , Philip Phillips

The unique zero energy Landau Level of graphene has a particle-hole symmetry in the bulk, which is lifted at the boundary leading to a splitting into two chiral edge modes. It has long been theoretically predicted that the splitting of the…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Manabendra Kuiri , Gaurav Kumar Gupta , Yuval Ronen , Tanmoy Das , Anindya Das

We derive an effective two-dimensional Hamiltonian to describe the low energy electronic excitations of a graphite bilayer, which correspond to chiral quasiparticles with a parabolic dispersion exhibiting Berry phase $2\pi$. Its…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Edward McCann , Vladimir I. Fal'ko

As a canonical response to the applied magnetic field, the electronic states of a metal are fundamentally reorganized into Landau levels. In Dirac metals, Landau levels can be expected without magnetic fields, provided that an inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2021-08-13 Zheng Shi , Hai-Zhou Lu , Tianyu Liu

The magnetoplasmon spectrum of Landau level transitions in hexagonal boron nitride-encapsulated graphene is explored via infrared transmission magnetospectroscopy, as a function of the filling factor at fixed magnetic field. As the lowest…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Jordan Pack , B. Jordan Russell , Yashika Kapoor , Jesse Balgley , Jeff Ahlers , Takashi Taniguchi , Kenji Watanabe , Erik A. Henriksen

The one-loop dynamical polarization function of graphene in an external magnetic field is calculated as a function of wavevector and frequency at finite chemical potential, temperature, band gap, and width of Landau levels. The exact…

Strongly Correlated Electrons · Physics 2011-02-28 P. K. Pyatkovskiy , V. P. Gusynin

The effect of charge-carrier screening on the transport properties of a neutral graphene sheet is studied by directly probing its electronic structure. We find that the Fermi velocity, Dirac point velocity, and overall distortion of the…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 David A. Siegel , William Regan , Alexei V. Fedorov , A. Zettl , Alessandra Lanzara

Graphene physisorbed on a metal has its characteristic Dirac cones preserved in the band-structure, but the Fermi level of the system is shifted due to the interaction with the substrate. Based on density functional calculations with van…

Materials Science · Physics 2012-01-26 J. Slawinska , I. Zasada

Employing the low-energy effective theory alongside a combination of analytical and numerical techniques, we explore the Landau level collapse phenomenon, uncovering previously undisclosed features. We consider both finite-width graphene…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

The quantum Hall effect near the charge neutrality point in bilayer graphene is investigated in high magnetic fields of up to 35 T using electronic transport measurements. In the high field regime, the eight-fold degeneracy in the zero…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. Zhao , P. Cadden-Zimansky , Z. Jiang , P. Kim

We report on robust features of the longitudinal conductivity ($\sigma_{xx}$) of the graphene zero-energy Landau level in presence of disorder and varying magnetic fields. By mixing an Anderson disorder potential with a low density of…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Frank Ortmann , Stephan Roche

In this paper the mono-layer graphene at the charge neutrality point is considered whithin Thomas-Fermi-Dirac theory, treating inhomogeneous external potentials and electron-electron interactions on equal footing. We present some general…

Statistical Mechanics · Physics 2016-09-26 M. N. Najafi , M. Ghasemi Nezhadhaghighi

The remarkable gapless and linear band structure of graphene opens up new carrier relaxation channels bridging the valence and the conduction band. These Auger scattering processes change the number of charge carriers and can give rise to a…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 Ermin Malic , Torben Winzer , Florian Wendler , Andreas Knorr

We find that a repulsive potential of graphene in the presence of a magnetic field has bound states that are peaked inside the barrier with tails extending over \ell(N + 1), where \ell and N are the magnetic length and Landau level(LL)…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 P. S. Park , S. C. Kim , S. -R. Eric Yang

Magnetoplasmons on graphene edge in quantizing magnetic field are investigated at different Landau level filling factors. To find the mode frequency, the optical conductivity tensor of disordered graphene in magnetic field is calculated in…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Alexey A. Sokolik , Yurii E. Lozovik

We consider the self-energy and quasiparticle spectrum, for both electrons interacting with phonons, and composite fermions interacting with gauge fluctuations. In both cases we incorporate the singular structure arising from Landau level…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 S. Curnoe , P. C. E. Stamp

We report on transport and capacitance measurements of graphene devices in magnetic fields up to 30 T. In both techniques, we observe the full splitting of Landau levels and we employ tilted field experiments to address the origin of the…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 F. Chiappini , S. Wiedmann , K. S. Novoselov , A. Mishchenko , A. K. Geim , J. C. Maan , U. Zeitler