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The adsorption of an alkali-metal submonolayer on graphene occupying every third hexagon of the honeycomb lattice in a commensurate $(\sqrt{3}\times\sqrt{3})R30^\circ$ arrangement induces an energy gap in the spectrum of graphene. To…

Materials Science · Physics 2009-01-27 M. Farjam , H. Rafii-Tabar

We use a hybrid k dot p theory - tight binding (HkpTB) model to describe interlayer coupling simultaneously in both Bernal and twisted graphene structures. For Bernal-aligned interfaces, HkpTB is parametrized using the full…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Aitor Garcia-Ruiz , Haiyao Deng , Vladimir V. Enaldiev , Vladimir I. Fal'ko

We study the optical properties of gapped graphene in presence of a magnetic field. We consider a model based on the Dirac equation, with a gap introduced via a mass term, for which analytical expressions for the diagonal and Hall optical…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Jesper Goor Pedersen , Thomas Garm Pedersen

Van der Waals (vdW) heterostructures consisting of Bernal bilayer graphene (BLG) and hexagonal boron nitride (hBN) are investigated. By performing first-principles calculations we capture the essential BLG band structure features for…

Mesoscale and Nanoscale Physics · Physics 2023-09-27 Klaus Zollner , Eike Icking , Jaroslav Fabian

We study the effect of Coulomb interaction between charge carriers on the properties of graphene monolayer, assuming that the strength of the interaction is controlled by the dielectric permittivity of the substrate on which the graphene…

Strongly Correlated Electrons · Physics 2013-02-14 P. V. Buividovich , M. I. Polikarpov

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

Correlated insulators and superconductivity have been observed in "magic-angle" twisted bilayer graphene, when the nearly flat bands close to neutrality are partially filled. While a momentum-space continuum model accurately describes these…

Strongly Correlated Electrons · Physics 2019-06-04 Hoi Chun Po , Liujun Zou , T. Senthil , Ashvin Vishwanath

This work investigates the electronic properties of twisted bilayer graphene (TBG) through computational calculations, with the aim of understanding the emergence of flat bands and conditions favorable for superconductivity close to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Rajendra Paudel , Nabin Upadhya Dhakal , Nurapati Pantha

Accurate orthogonal tight-binding Hamiltonians are constructed for ferromagnetic SrRuO$_3$ and the layered perovskite superconductor, Sr$_2$RuO$_4$ by fitting to all-electron full-potential local density band structures obtained by the…

Materials Science · Physics 2009-10-31 I. I. Mazin , D. A. Papaconstantopoulos , D. J. Singh

High mobility single and few-layer graphene sheets are in many ways attractive as nanoelectronic circuit hosts but lack energy gaps, which are essential to the operation of field-effect transistors. One of the methods used to create gaps in…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Hakseong Kim , Nicolas Leconte , Bheema L. Chittari , Kenji Watanabe , Takashi Taniguchi , Allan H. MacDonald , Jeil Jung , Suyong Jung

We review the electronic properties of bilayer graphene, beginning with a description of the tight-binding model of bilayer graphene and the derivation of the effective Hamiltonian describing massive chiral quasiparticles in two parabolic…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 Edward McCann , Mikito Koshino

One of the most important developments in condensed matter physics in recent years has been the discovery and characterization of graphene. A two-dimensional layer of Carbon arranged in a hexagonal lattice, graphene exhibits many…

High Energy Physics - Lattice · Physics 2015-09-23 Christopher Winterowd , Carleton DeTar , Savvas Zafeiropoulos

We present a computational method to determine the exchange constants in isotropic spin models. The method uses the Hamiltonian and overlap matrices computed from density functional schemes that are based on nonorthogonal basis sets. We…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 László Oroszlány , Jaime Ferrer , András Deák , László Udvardi , László Szunyogh

We study the electronic properties of rippled freestanding graphene membranes under central load from a sharp tip. To that end, we develop a gauge field theory on a honeycomb lattice valid beyond the continuum theory. Based on the proper…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 James V. Sloan , Alejandro A. Pacheco Sanjuan , Zhengfei Wang , Cedric Horvath , Salvador Barraza-Lopez

The band structures describing non-interacting particles in one-dimensional superlattices of arbitrary periodicity are obtained by an analytical diagonalization of the Hamiltonian without adopting the popular tight-binding approximation.…

Strongly Correlated Electrons · Physics 2013-06-18 Olaf Krüger , Alejandro Saenz

A theoretical model is presented to compute the electronic band structures and optical absorption spectra for twisted incommensurate few-layers graphene (tLFG) systems of arbitrary architecture. This is accomplished using an integrated…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 D. Ghader , A. Khater , D. Szczȩśniak

The complete lattice-layer entanglement structure of Bernal stacked bilayer graphene is obtained for the quantum system described by a tight-binding Hamiltonian which includes mass and bias voltage terms. Through a suitable correspondence…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 Victor A. S. V. Bittencourt , Alex. E. Bernardini

This paper advocates for an innovative approach designed for estimating optoelectronic properties of quantum structures utilizing Tight-Binding (TB) theory. Predicated on the comparative analysis between estimated and actual properties, the…

Quantum Physics · Physics 2024-08-30 Ali Haji Ebrahim Zargar , Ali Amini , Ahmad Ayatollahi

We propose an experimentally friendly scheme for trapping quasi- relativistic elec- trons in graphene by an electromagnetic beam with circular polarization and spatially inhomogeneous profile with an intensity dip. The trapping is achieved…

Mesoscale and Nanoscale Physics · Physics 2017-11-21 Skender Morina , Kevin Dini , Ivan V. Iorsh , Ivan A. Shelykh

We develop an effective medium approach to characterize the propagation of matter waves in periodic structures, such as graphene or semiconductor superlattices. It is proven that the time evolution of the states that are not more localized…

Materials Science · Physics 2015-06-04 Mario Silveirinha , Nader Engheta