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We use a symmetry approach to construct a systematic derivative expansion of the low energy effective Hamiltonian modifying the continuum Dirac description of graphene in the presence of non-uniform elastic deformations. We extract all…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 Juan L. Mañes , Fernando de Juan , Mauricio Sturla , María A. H. Vozmediano

Using calculations on defective graphene from first principles, we herein consider the dependence of the properties of the monovacancy of graphene under isotropic strain, with a particular focus on spin moments. At zero strain, the vacancy…

Mesoscale and Nanoscale Physics · Physics 2010-12-16 E. J. G. Santos , S. Riikonen , D. Sanchez-Portal , A. Ayuela

Quantum oscillations in graphene is discussed. The effect of interactions are addressed by Kohn's theorem regarding de Haas-van Alphen oscillations, which states that electron-electron interactions cannot affect the oscillation frequencies…

Mesoscale and Nanoscale Physics · Physics 2008-12-06 Pallab Goswami , Xun Jia , Sudip Chakravarty

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

Lateral superlattices have attracted major interest as this may allow one to modify spectra of two dimensional electron systems and, ultimately, create materials with tailored electronic properties. Previously, it proved difficult to…

Electron transport in graphene under a laser-modulated barrier is studied in the presence of an energy gap, a scalar potential, and a uniaxial zigzag strain. The transfer-matrix approach is used with the boundary conditions to derive the…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Hasna Chnafa , Clarence Cortes , David Laroze , Ahmed Jellal

When electrons are confined in a two dimensional (2D) system, typical quantum mechanical phenomena such as Landau quantization can be detected. Graphene systems, including the single atomic layer and few-layer stacked crystals, are ideal 2D…

Mesoscale and Nanoscale Physics · Physics 2017-03-14 Long-jing Yin , Ke-ke Bai , Wen-xiao Wang , Si-Yu Li , Yu Zhang , Lin He

The general covariance of the Dirac equation is exploited in order to explore the curvature effects appearing in the electronic properties of graphene. Two physical situations are then considered: the weak curvature regime, with…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Pavel Castro-Villarreal , R. Ruiz-Sánchez

In order to quantize systems involving second-class constraints, one should use Dirac bracket instead of Poisson bracket. Furthermore, one can specify a star product in which the term linear in $\hbar$ is proportional to the Dirac bracket.…

Mathematical Physics · Physics 2026-03-25 Bing-Sheng Lin , Tai-Hua Heng

We calculate the local density of states (LDOS) for an infinite graphene sheet with a single centro-symmetric out-of-plane deformation, in order to investigate measurable strain signatures on graphene. We focus on the regime of small…

Mesoscale and Nanoscale Physics · Physics 2015-04-22 Martin Schneider , Daiara Faria , Silvia Viola Kusminskiy , Nancy Sandler

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

This paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show that the relevant physical observable, an interface…

Mathematical Physics · Physics 2024-05-22 Solomon Quinn , Guillaume Bal

We revisit the theory of the pseudo magnetic field as induced by strain in graphene using the tight-binding approach. A systematic expansion of the hopping parameter and the deformation of the lattice vectors is presented from which we…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. Ramezani Masir , D. Moldovan , F. M. Peeters

A generalized Dirac equation is derived in order to describe charge carriers moving in corrugated graphene, which is the case for temperatures above 10{\deg}K due to the presence of flexural phonons. Such interaction is taken into account…

Materials Science · Physics 2015-10-12 Richard Kerner , Gerardo Naumis

High pressure structural distortions of the hexagonal close packed (hcp) element zinc have been a subject of controversy. Earlier experimental results and theory showed a large anomaly in lattice strain with compression in zinc at about 10…

Materials Science · Physics 2009-10-31 Gerd Steinle-Neumann , Lars Stixrude , Ronald E. Cohen

Elastic strain can displace the massless Dirac fermions in monolayer graphene in a space-dependent fashion, similar to the effect of an external magnetic field, thus giving rise to Landau quantization. We here show that the strain-induced…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Tianyu Liu , Jun-Hong Li , Xingchuan Zhu , Huaiming Guo , Hai-Zhou Lu , X. C. Xie

Dirac fermions in graphene can be subjected to non-abelian gauge fields by implementing certain modulations of the carbon site potentials. Artificial graphene, engineered with a lattice of CO molecules on top of the surface of Cu, offers an…

Mesoscale and Nanoscale Physics · Physics 2013-03-29 Fernando de Juan

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

frared reflectance spectroscopy at 4K in fields up to 31T. Both Schr\"odinger-like (K-point) and Dirac-like (H-point) Landau level transitions have been observed, and their magnetic field dispersion are analyzed by a newly-derived limiting…

Materials Science · Physics 2015-05-28 L. -C. Tung , P. Cadden-Zimansky , J. Qi , 1 Z. Jiang , D. Smirnov

The electronic properties of graphene under any arbitrary uniaxial strain field are obtained by an exact mapping of the corresponding tight-binding Hamiltonian into an effective one-dimensional modulated chain. For a periodic modulation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Gerardo G. Naumis , Pedro Roman-Taboada