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The zero energy modes induced by vacancies in ABC stacked trilayer graphene are investigated. Depending on the position of the vacancy, a new zero energy solution is realised, different from those obtained in multilayer compounds with…

Materials Science · Physics 2012-08-31 Eduardo V. Castro , M. Pilar López-Sancho , María A. H. Vozmediano

We report the existence of zero energy surface states localized at zigzag edges of bilayer graphene. Working within the tight-binding approximation we derive the analytic solution for the wavefunctions of these peculiar surface states. It…

Mesoscale and Nanoscale Physics · Physics 2008-01-16 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , A. H. Castro Neto , F. Guinea

Electronic localization is numerically studied in disordered bilayer graphene with an electric-field induced energy gap. Bilayer graphene is a zero-gap semiconductor, in which an energy gap can be opened and controlled by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mikito Koshino

Bilayer graphene -- two coupled single graphene layers stacked as in graphite -- provides the only known semiconductor with a gap that can be tuned externally through electric field effect. Here we use a tight binding approach to study how…

Mesoscale and Nanoscale Physics · Physics 2010-04-29 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , F. Guinea , A. H. Castro Neto

Experiments in gated bilayer graphene with stacking domain walls present topological gapless states protected by no-valley mixing. Here we research these states under gate voltages using atomistic models, which allow us to elucidate their…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 W. Jaskólski , M. Pelc , Garnett W. Bryant , Leonor Chico , A. Ayuela

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

We examine the magnetic properties of the localized states induced by lattice vacancies in bilayer graphene with an unrestricted Hartree-Fock calculation. We show that with realistic values of the parameters and for experimentally…

Materials Science · Physics 2015-05-13 Eduardo V. Castro , María P. López-Sancho , María A. H. Vozmediano

We consider an armchair bilayer phosphorene that is connected to two hot and cold leads from both sides and study the thermoelectric properties of such a system with periodic vacancies at the middle of nanoribbon and in the armchair…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 S. Jalilvand , S. Sodagar , Z. Noorinejad , H. Karbaschi , M. Soltani

We report the existence of zero energy surface states localized at zigzag edges of $N$-layer graphene. Working within the tight-binding approximation, and using the simplest nearest-neighbor model, we derive the analytic solution for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

We have carried out ab initio electronic structure calculations on graphane (hydrogenated graphene) with single and double vacancy defects. Our analysis of the density of states reveal that such vacancies induce the mid gap states and…

Materials Science · Physics 2010-02-11 Bhalchandra S. Pujari , D. G. Kanhere

We demonstrate that single layer graphene exhibits the electronic structure of a bilayer when it is connected to two gated bilayers. The energy gap characteristic for gated bilayer is induced in the single layer and it persists for…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 Wlodzimierz Jaskolski

Bilayer graphene bears an eight-fold degeneracy due to spin, valley and layer symmetry, allowing for a wealth of broken symmetry states induced by magnetic or electric fields, by strain, or even spontaneously by interaction. We study the…

Mesoscale and Nanoscale Physics · Physics 2012-02-15 F. Freitag , J. Trbovic , M. Weiss , C. Schönenberger

We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Nassima Benchtaber , David Sánchez , Llorenç Serra

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

A recently constructed model for low lying excitations in bilayer graphene exhibits mid-gap, zero energy modes in its Dirac-like spectrum, when a scalar order parameter takes a vortex profile. We show that these modes persist when the…

Strongly Correlated Electrons · Physics 2009-11-13 R. Jackiw , S. -Y. Pi

The edge states in the hybrid system of single-layer and double-layer graphene are studied in the tight-binding model theoretically. The edge states in one side of the interface between single-layer and double-layer graphene are shown to…

Mesoscale and Nanoscale Physics · Physics 2012-04-03 Yasumasa Hasegawa , Mahito Kohmoto

Bilayer graphene has attracted considerable interest due to the important role played by many-body effects, particularly at low energies. Here we report local compressibility measurements of a suspended graphene bilayer. We find that the…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Jens Martin , Benjamin E. Feldman , R. Thomas Weitz , Monica T. Allen , Amir Yacoby

We theoretically studied the Floquet state of gated bilayer graphene, which is irradiated by normally incident focused Gaussian beam with orbital angular momentum (OAM). According to the Floquet theory, in-plane and out-of-plane electric…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Ma Luo

The resonant behaviour of vacancy states in graphene is well-known but some ambiguities remain concerning in particular the nature of the so-called zero energy modes. Other points are not completely elucidated in the case of low but finite…

Materials Science · Physics 2013-08-21 François Ducastelle

Minimally twisted bilayer graphene in the presence of an interlayer bias develops a triangular network of valley chiral modes that propagate along the $AB/BA$ interfaces and scatter at the $AA$ regions. The low energy physics of the…

Mesoscale and Nanoscale Physics · Physics 2023-12-07 P. Wittig , F. Dominguez , C. De Beule , P. Recher
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