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Graphene is a unique two-dimensional material with rich new physics and great promise for applications in electronic devices. Physical phenomena such as the half-integer quantum Hall effect and high carrier mobility are critically dependent…

We present a simple derivation of a continuum Hamiltonian for bilayer graphene with an arbitrary smooth lattice deformation -- technically in a fashion parametrized by displacement fields with small gradients. We show that this subsumes the…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Leon Balents

The low energy excitations of graphene can be described by a massless Dirac equation in two spacial dimensions. Curved graphene is proposed to be described by coupling the Dirac equation to the corresponding curved space. This covariant…

Strongly Correlated Electrons · Physics 2009-11-13 Maria A. H. Vozmediano , Fernando de Juan , Alberto Cortijo

We investigate the details of the electronic structure in the neighborhoods of a carbon atom vacancy in graphene by employing magnetization-constrained density-functional theory on periodic slabs, and spin-exact, multi-reference,…

Materials Science · Physics 2013-11-27 M. Casartelli , S. Casolo , G. F. Tantardini , R. Martinazzo

We construct an effective low energy Hamiltonian which describes fermions dwelling on a deformed honeycomb lattice with dislocations and disclinations, and with an arbitrary hopping parameters of the corresponding tight binding model. It…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Ara Sedrakyan , Andreas Sinner , Klaus Ziegler

We report a theoretical low-field magnetotransport study unveiling the effect of pseudospin in realistic models of weakly disordered graphene-based materials. Using an efficient Kubo computational method, and simulating the effect of…

Mesoscale and Nanoscale Physics · Physics 2016-03-11 Frank Ortmann , Alessandro Cresti , Gilles Montambaux , Stephan Roche

Superconductivity in single-layer graphene has attracted considerable interest. Here, using the determinant quantum Monte Carlo method, we study transitions of superconductivity and magnetism in a monolayer graphene with a special periodic…

Strongly Correlated Electrons · Physics 2024-12-31 Jingyao Meng , Runyu Ma , Tianxing Ma , Hai-Qing Lin

An analytical study of low-energy electronic excited states in an uniformly strained graphene is carried out up to second-order in the strain tensor. We report an new effective Dirac Hamiltonian with an anisotropic Fermi velocity tensor,…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Maurice Oliva-Leyva , Chumin Wang

The induced-proximity effects of nearly commensurate lattice structure of a graphene layer on Ni(111) and Co(0001) substrates in the AC stacking configuration are addressed through an analytical tight-binding approach within the…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Mayra Peralta , Ernesto Medina , Francisco Mireles

The effects of a propagating sinusoidal out-of-plane flexural deformation in the electronic properties of a tense membrane of graphene are considered within a non-perturbative approach, leading to an electron-ripple coupling. The…

Mesoscale and Nanoscale Physics · Physics 2019-08-29 Ramon Carrillo-Bastos , Gerardo G. Naumis

We explore the rotational degree of freedom between graphene layers via the simple prototype of the graphene twist bilayer, i.e., two layers rotated by some angle $\theta$. It is shown that, due to the weak interaction between graphene…

Materials Science · Physics 2015-03-13 S. Shallcross , S. Sharma , E. Kandelaki , O. A. Pankratov

Energetic and geometric aspects of the permeation of low-Z atoms through graphene sheets are investigated. Energy barriers and deformations are calculated via density functional theory for the permeation of H, He, Li and Be atoms at several…

Chemical Physics · Physics 2012-10-02 Stefan E. Huber , Andreas Mauracher , Michael Probst

It is well established that some kinds of lattice deformations in graphene monolayer, which change electron hopping in sublattice and affect in-plane motion of electrons, may induce out-of-plane pseudo-magnetic fields as large as 100 T.…

Mesoscale and Nanoscale Physics · Physics 2014-04-10 Wen-Yu He , Ying Su , Mudan Yang , Lin He

By mechanically distorting a crystal lattice it is possible to engineer the electronic and optical properties of a material. In graphene, one of the major effects of such a distortion is an energy shift of the Dirac point, often described…

Graphene-like materials can be effectively described by Quantum Electrodynamics in (2+1)-dimensions. In a pristine state, these systems exhibit a symmetry between the nonequivalent Dirac points in the honeycomb lattice. Realistic samples…

High Energy Physics - Phenomenology · Physics 2016-01-08 Ana Julia Mizher , Alfredo Raya , Cristian Villavicencio

To construct Lagrangian based on plate theory and tight-binding model, deflection-field coupling to Dirac fermions in graphene can be investigated. As have been known, deflection-induced strain may cause an effect on the motion of the…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Bumned Soodchomshom

We study the electron scattering produced by local out-of-plane strain deformations in the form of Gaussian bumps in graphene. Of special interest is to take into account the scalar field associated with the redistribution of charge due to…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 Ramon Carrillo-Bastos , Marysol Ochoa , Saúl A. Zavala , Francisco Mireles

We predict that neutral graphene bilayers are pseudospin magnets in which the charge density-contribution from each valley and spin spontaneously shifts to one of the two layers. The band structure of this system is characterized by a…

Strongly Correlated Electrons · Physics 2008-01-18 Hongki Min , Giovanni Borghi , Marco Polini , A. H. MacDonald

The existence of two-inequivalent valleys in the band structure of graphene has motivated the search of mechanisms that allow their separation and control for potential device applications. Among the several schemes proposed in the…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 Dawei Zhai , Nancy Sandler

Twisted bilayer graphene (TBG) exhibits a wide range of intriguing physical properties, such as superconductivity, ferromagnetism, and superlubricity. Depending on the twist angle, periodic moir\'e superlattices form in twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Vahid Morovati , Zhiming Xue , Kenneth M. Liechti , Rui Huang
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