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Experiments on hexagonal graphene-like structures using microwave measuring techniques are presented. The lowest transverse-electric resonance of coupled dielectric disks sandwiched between two metallic plates establishes a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 S. Barkhofen , M. Bellec , U. Kuhl , F. Mortessagne

We consider magnetic breakdown in twisted bilayer graphene where electrons may hop between semiclassical $k$-space trajectories in different layers. These trajectories within a doubled Brillouin zone constitute a network in which an…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Chi-Ken Lu , H. A. Fertig

Since the lattices of ABA-stacked graphene multilayers with an even number of layers, as well as that of monolayer graphene, satisfy spatial-inversion symmetry, their electronic bands must be spin degenerate in the presence of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Edward McCann , Mikito Koshino

We investigate the fine structure of the edge states energy spectrum for zigzag and armchair ribbons of graphene in a strong magnetic field. At low energy, the spectra can be described by an effective Schrodinger Hamiltonian with a double…

Mesoscale and Nanoscale Physics · Physics 2011-01-05 Pierre Delplace , Gilles Montambaux

Graphene is a two-dimensional (2D) semimetal with high mobility in charge carriers due to the existence of Dirac points. Silicene is another promising material, with properties analog to graphene. Many silicon (Si) based electronic devices…

Materials Science · Physics 2021-09-07 K M Abeywickrama , P K D D P Pitigala , W W P De Silva

The low energy electronic spectra of rotationally faulted graphene bilayers are studied using a long wavelength theory applicable to general commensurate fault angles. Lattice commensuration requires low energy electronic coherence across a…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 E. J. Mele

The fine structure of the Dirac energy spectrum in graphene induced by electron-optical phonon coupling is investigated in the portion of the spectrum near the phonon emission threshold. The derived new dispersion equation in the immediate…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 S. M. Badalyan , F. M. Peeters

We have considered non-magnetic materials with weak spin-orbit coupling, that are periodic in two non-collinear directions, and finite in third, orthogonal direction. In some cases, combined time-reversal and crystal symmetry of such…

Materials Science · Physics 2016-02-03 Vladimir Damljanovic , Rados Gajic

We study the geometric and electronic structures of silicene monolayer using density functional theory based calculations. The electronic structures of silicene show that it is a semi-metal and the charge carriers in silicene behave like…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 Kamal Chinnathambi

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

This is the second of two papers devoted to tight-binding electronic spectra on graphs with the topology of the sphere. We investigate the problem of an electron subject to a spin-orbit interaction generated by the radial electric field of…

Mesoscale and Nanoscale Physics · Physics 2008-06-13 Y. Avishai , J. M. Luck

The conventional theory of solids is well suited to describing band structures locally near isolated points in momentum space, but struggles to capture the full, global picture necessary for understanding topological phenomena. In part of a…

Mesoscale and Nanoscale Physics · Physics 2018-01-19 Barry Bradlyn , L. Elcoro , M. G. Vergniory , Jennifer Cano , Zhijun Wang , C. Felser , M. I. Aroyo , B. A. Bernevig

Silicene is becoming one of the most important two-dimensional materials. In this work, EEL Spectra were calculated for alfa-silicene (flat), and beta-silicene (low-buckled, and theoretically the most stable). Band structures were…

Materials Science · Physics 2014-12-11 Luis M. Priede , Lilia Meza-Montes

In this paper, we study the massive Dirac equation with the presence of the Morse potential in polar coordinate. The Dirac Hamiltonian is written as two second-order differential equations in terms of two spinor wavefunctions. Since the…

Quantum Physics · Physics 2021-04-27 Z. Zali , Alireza Amani , J. Sadeghi , B. Pourhassan

Graphene is an ideal platform to study many-body effects due to its semimetallic character and the possibility to dope it over a wide range. Here we study the width of graphene's occupied $\pi$-band as a function of doping using…

Strongly Correlated Electrons · Physics 2016-08-10 Søren Ulstrup , Malte Schüler , Marco Bianchi , Felix Fromm , Christian Raidel , Thomas Seyller , Tim Wehling , Philip Hofmann

We have investigated the effects of inplane and interplane nearest neighbour overlap integrals ($s_0$ and $s_1$) and site energy difference between atoms in two different sublattices in the same graphene layer ($\Delta$) on the electronic…

Materials Science · Physics 2009-07-27 Rupali Kundu

We propose a tunable electronic band gap and zero-energy modes in periodic heterosubstrate-induced graphene superlattices. Interestingly, there is an approximate linear relation between the band gap and the proportion of inhomogeneous…

Materials Science · Physics 2016-05-04 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang

Graphene, renowned for its exceptional electronic and optical properties as a robust 2D material, traditionally lacks electronic correlation effects. Proximity coupling offers a promising method to endow quantum materials with novel…

Strongly Correlated Electrons · Physics 2025-08-14 Chitran Ghosal , Siheon Ryee , Zamin Mamiyev , Niklas Witt , Tim O. Wehling , Christoph Tegenkamp

Theory predicts that graphene under uniaxial compressive strain in an armchair direction should undergo a topological phase transition from a semimetal into an insulator. Due to the change of the hopping integrals under compression, both…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 J. Feilhauer , W. Apel , L. Schweitzer

Silicene consists of a monolayer of silicon atoms in a buckled honeycomb structure. It was recently discovered that the symmetry of such a system allows for interesting Rashba spin-orbit effects. A perpendicular electric field is able to…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Florian Geissler , Jan Carl Budich , Björn Trauzettel