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The low-frequency magneto-optical properties of bilayer Bernal graphene are studied by the tight-binding model with four most important interlayer interactions taken into account. Since the main features of the wave functions are well…

Mesoscale and Nanoscale Physics · Physics 2010-05-28 Yen-Hung Ho , Yu-Huang Chiu , De-Hone Lin , Chen-Peng Chang , Ming-Fa Lin

We calculate, within a self-consistent Hartree-Fock approximation, the local density of states for different electron crystals in graphene subject to a strong magnetic field. We investigate both the Wigner crystal and bubble crystals with…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 O. Poplavskyy , M. O. Goerbig , C. Morais Smith

We study the Landau quantization of the electronic spectrum for graphene bilayers that are rotationally faulted to produce periodic superlattices. Commensurate twisted bilayers exist in two families distinguished by their sublattice…

Mesoscale and Nanoscale Physics · Physics 2011-10-20 M. Kindermann , E. J. Mele

Collective excitations spectrum of Dirac electrons in mono and bilayer graphene in the presence of a uniform magnetic field is investigated. Analytical results for inter-Landau band plasmon spectrum within the self-consistent-field approach…

Mesoscale and Nanoscale Physics · Physics 2008-09-17 M. Tahir , K. Sabeeh

We theoretically investigate the electronic structures of moir\'{e} superlattices arising in monolayer / bilayer graphene stacked on hexagonal boron nitride (hBN) in presence and absence of magnetic field. We develop an effective continuum…

Mesoscale and Nanoscale Physics · Physics 2014-10-10 Pilkyung Moon , Mikito Koshino

The electronic properties of a triaxially strained hexagonal graphene flake with either armchair or zig-zag edges are investigated using molecular dynamics simulations and tight-binding calculations. We found that: i) the pseudo-magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 M. Neek-Amal , L. Covaci , Kh. Shakouri , F. M. Peeters

We study the Landau level spectrum of bulk graphene monolayers beyond the Dirac Hamiltonian with linear dispersion. We consider an effective Wannier-like tight-binding model obtained from ab initio calculations, that includes long-range…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Kevin J. U. Vidarte , Caio Lewenkopf

When electrons populate a flat band their kinetic energy becomes negligible, forcing them to organize in exotic many-body states to minimize their Coulomb energy. The zeroth Landau level of graphene under magnetic field is a particularly…

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

The electronic structure, bonding and magnetism in graphene containing vacancies are studied using density-functional methods. The single-vacancy graphene ground state is spin polarized and structurally flat. The unpolarized state is non…

Mesoscale and Nanoscale Physics · Physics 2008-07-11 M. W. C. Dharma-wardana , Marek Z. Zgierski

Using density-functional theory, we calculate the electronic bandstructure of single-layer graphene on top of hexagonal In_2Te_2 monolayers. The geometric configuration with In and Te atoms at centers of carbon hexagons leads to a Kekule'…

Materials Science · Physics 2015-04-02 Gianluca Giovannetti , Massimo Capone , Jeroen van den Brink , Carmine Ortix

In this proceedings paper we report on a calculation of graphene's Landau levels in a magnetic field. Our calculations are based on a self-consistent Hartree-Fock approximation for graphene's massless-Dirac continuum model. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-10-07 Yafis Barlas , Wei-Cheng Lee , Kentato Nomura , Allan H. MacDonald

This work reports the three-band structure associated with a Lieb lattice with arbitrary nearest and next-nearest neighbors hopping interactions. For specific configurations, the system admits a flat band located between two dispersion…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Kevin Zelaya , Vit Jakubský

Bilayer graphene (BLG) with a tunable bandgap appears interesting as an alternative to graphene for practical applications, thus its transport properties are being actively pursued. Using density functional theory and perturbation analysis,…

Materials Science · Physics 2015-05-11 Changwon Park , Junga Ryou , Suklyun Hong , Bobby Sumpter , Gunn Kim , Mina Yoon

The electronic excitations of bilayer graphene (BLG) under a magnetic field are investigated with the use of the Peierls tight-binding model in conjunction with random-phase approximation (RPA). The interlayer atomic interactions,…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jhao-Ying Wu , Godfrey Gumbs , Ming-Fa Lin

While the exponential decay of tunneling probability with barrier thickness is well known, the accompanying oscillations with thickness have been comparatively less explored. Using a tight binding model, we investigate an AB-stacked bilayer…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Ryo Tamura

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal defects in the carbon graphene plane is investigated. Using a continuum gauge field-theory model the local density of states around the Fermi energy is calculated…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 J. Smotlacha , R. Pincak , M. Pudlak

It is known that the near-field spectrum of the local density of states of the electromagnetic field above a SiC/air interface displays an intense narrow peak due to the presence of a surface polariton. It has been recently shown that this…

In Bernal stacked bilayer graphene interlayer coupling significantly affects the electronic bandstructure compared to monolayer graphene. Here we present magnetotransport experiments on high-quality $n$-doped bilayer MoS$_{2}$. By measuring…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Riccardo Pisoni , Tim Davatz , Kenji Watanabe , Takashi Taniguchi , Thomas Ihn , Klaus Ensslin
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