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We show that the low-energy electronic structure of graphene under a one-dimensional inhomogeneous magnetic field can be mapped into that of graphene under an electric field or vice versa. As a direct application of this transformation, we…

Mesoscale and Nanoscale Physics · Physics 2010-05-31 Liang Zheng Tan , Cheol-Hwan Park , Steven G. Louie

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that,…

High Energy Physics - Theory · Physics 2014-01-16 C. Bastos , O. Bertolami , N. Dias , J. Prata

Bilayer graphene is a highly promising material for electronic and optoelectronic applications since it is supporting massive Dirac fermions with a tuneable band gap. However, no consistent picture of the gap's effect on the optical and…

The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

We study the scattering of Dirac electrons of circular graphene quantum dot with mass-inverted subject to electrostatic potential. The obtained solutions of the energy spectrum are used to determine the scattering coefficients at the…

Mesoscale and Nanoscale Physics · Physics 2022-08-10 Fatima Belokda , Ahmed Jellal , El Houssine Atmani

We study the interaction of graphene with ultrashort few femtosecond long optical pulse. For such a short pulse, the electron dynamics is coherent and is described within the tight-binding model of graphene. The interaction of optical pulse…

Mesoscale and Nanoscale Physics · Physics 2014-01-23 Hamed Koochaki Kelardeh , Vadym Apalkov , Mark I. Stockman

We report on transport characteristics of quantum dot devices etched entirely in graphene. At large sizes, they behave as conventional single-electron transistors, exhibiting periodic Coulomb blockade peaks. For quantum dots smaller than…

Mesoscale and Nanoscale Physics · Physics 2008-04-18 L. A. Ponomarenko , F. Schedin , M. I. Katsnelson , R. Yang , E. H. Hill , K. S. Novoselov , A. K. Geim

We study uniaxially strained graphene under the influence of non-uniform magnetic fields perpendicular to the material sample with a coordinate independent strain tensor. For that purpose, we solve the Dirac equation with anisotropic Fermi…

Strongly Correlated Electrons · Physics 2018-06-12 Yajaira Concha Sanchez , Adolfo Huet , Alfredo Raya , David Valenzuela

The low energy physics of both graphene and surface states of three-dimensional topological insulators is described by gapless Dirac fermions with linear dispersion. In this work, we predict the emergence of a "heavy" Dirac fermion in a…

Mesoscale and Nanoscale Physics · Physics 2016-10-17 Wendong Cao , Rui-Xing Zhang , Peizhe Tang , Gang Yang , Jorge Sofo , Wenhui Duan , Chao-Xing Liu

Plasmon are collective oscillations of mobile electrons with dynamics controlled by their charge stiffness("Drude weight"). Using terahertz spacetime metrology, we probe Plasmon dynamics of mono- and bi-layer graphene. In both systems, the…

There is evidence for existence of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. We revisit the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Riazuddin

We show that in AB stacked bilayer graphene low energy excitations around the semimetallic points are described by massless, four dimensional Dirac fermions. There is an effective reconstruction of the 4 dimensional spacetime, including in…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 M. Cariglia , R. Giambò , A. Perali

Graphene is a zero-gap semiconductor, where the electrons propagating inside are described by the ultra-relativistic Dirac equation normally reserved for very high energy massless particles. In this work, we show that graphene under a…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 J. Gbètoho , F. A. Dossa , G. Y. H. Avossevou

We present measurements of transmission and reflection spectra of a microwave photonic crystal composed of 874 metallic cylinders arranged in a triangular lattice. The spectra show clear evidence of a Dirac point, a characteristic of a…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Bittner , B. Dietz , M. Miski-Oglu , P. Oria Iriarte , A. Richter , F. Schaefer

Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron correlations, and give rise to novel condensed-matter…

We investigated the transient photoconductivity of graphene at various gate-tuned carrier densities by optical-pump terahertz-probe spectroscopy. We demonstrated that graphene exhibits semiconducting positive photoconductivity near zero…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 A. J. Frenzel , C. H. Lui , Y. C. Shin , J. Kong , N. Gedik

The paper presents the author view on spin-rooted properties of graphene supported by numerous experimental and calculation evidences. Dirac fermions of crystalline graphene and local spins of graphene molecules are suggested to meet a…

Materials Science · Physics 2016-12-28 Elena F. Sheka

The fate of the charge-neutral Dirac point in graphene in a high magnetic field $H$ has been investigated at low temperatures ($T\sim$ 0.3 K). In samples with small $V_0$ (the gate voltage needed to access the Dirac point), the resistance…

Mesoscale and Nanoscale Physics · Physics 2008-05-21 Joseph G. Checkelsky , Lu Li , N. P. Ong

The electronic structure of a graphene superlattice composed by two periodic regions with different Fermi velocity, energy gap and electrostatic potential is investigated by using an effective Dirac-like Hamiltonian. It must be expected…

Materials Science · Physics 2015-04-07 Jonas R. F. Lima

Understanding Dirac-like Fermions has become an imperative in modern condensed matter sciences: all across its research frontier, from graphene to high T$_c$ superconductors to the topological insulators and beyond, various electronic…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Oskar Vafek , Ashvin Vishwanath