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In this work we investigate theoretically the influence of a Fermi velocity modulation in the electronic and transport properties of magnetic graphene superlattices. We solve the effective Dirac equation for graphene with a position…

Mesoscale and Nanoscale Physics · Physics 2020-05-21 Ícaro S. F. Bezerra , Jonas R. F. Lima

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

We combined periodic ripples and electrostatic potentials to form curved graphene superlattices and studied the effects of space-dependent Fermi velocity induced from curvature on their electronic properties. With equal periods and…

Mesoscale and Nanoscale Physics · Physics 2021-06-29 Jianli Luan , Kaiyi Guo , Shangyang Li , Tianxing Ma , Li-Gang Wang , Hai-Qing Lin

Recent studies show that periodic potentials can generate superlattice Dirac points at energies in graphene (is the Fermi velocity of graphene and G is the reciprocal superlattice vector). Here, we perform scanning tunneling microscopy and…

Mesoscale and Nanoscale Physics · Physics 2013-02-21 Hui Yan , Zhao-Dong Chu , Wei Yan , Mengxi Liu , Lan Meng , Mudan Yang , Yide Fan , Jiang Wang , Rui-Fen Dou , Yanfeng Zhang , Zhongfan Liu , Jia-Cai Nie , Lin He

We calculate the mode-dependent transmission probability of massless Dirac fermions through an ideal strip of graphene (length L, width W, no impurities or defects), to obtain the conductance and shot noise as a function of Fermi energy. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Tworzydlo , B. Trauzettel , M. Titov , A. Rycerz , C. W. J. Beenakker

We study transport properties of graphene nanostructures consisted of alternating slabs of gapless and gapped graphene in the presence of piecewise constant external potential equal to zero in the gapless regions. The transmission through…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 E. S. Azarova , G. M. Maksimova

Using Chebyshev polynomials, we study the electronic transport properties of massless Dirac fermions in symmetrical graphene superlattice composed of three regions. Matching wavefunctions and using transfer matrix method, we explicitly…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 El Bouâzzaoui Choubabi , Abdellatif Kamal , Ahmed Jellal

In this work we study theoretically the electronic properties of a sheet of graphene grown on a periodic heterostructure substrate. We write an effective Dirac equation, which includes a dependence of both the band gap and the Fermi…

Materials Science · Physics 2014-11-12 Jonas R. F. Lima , F. Moraes

Dirac materials are characterized by energy-momentum relations that resemble those of relativistic massless particles. Commonly denominated Dirac cones, these dispersion relations are considered to be their essential feature. These…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 A. Diaz-Fernandez , L. Chico , J. W. Gonzalez , F. Dominguez-Adame

We calculate the shot noise generated by evanescent modes in graphene for several experimental setups. For two impurity-free graphene strips kept at the Dirac point by gate potentials, separated by a long highly doped region, we find that…

Mesoscale and Nanoscale Physics · Physics 2012-07-13 A. D. Wiener , M. Kindermann

We study the electronic and transport properties of a graphene-based superlattice theoretically by using an effective Dirac equation. The superlattice consists of a periodic potential applied on a single-layer graphene deposited on a…

Mesoscale and Nanoscale Physics · Physics 2015-02-26 Jonas R. F. Lima

The electronic structure of a single-layer graphene with a periodic Fermi velocity modulation is investigated by using an effective Dirac-like Hamiltonian. In a gapless graphene or in a graphene with a constant energy gap the modulation of…

Materials Science · Physics 2014-12-02 Jonas R. F. Lima

We theoretically study the electronic transport properties of Dirac fermions through one and double triangular barriers in graphene. Using the transfer matrix method, we determine the transmission, conductance and Fano factor. They are…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Abderrahim El Mouhafid , Ahmed Jellal

Using full-potential density functional theory (DFT) calculations, we found a small asymmetry in the Fermi velocity of electrons and holes in graphene. These Fermi velocity values and their average were found to decrease with increasing…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 Harihar Behera , Gautam Mukhopadhyay

In this work we investigate the effects of a Fermi velocity modulation in a valley filter in graphene created by a combination of a magnetic and electric barrier. With the effective Dirac equation of the system, we use the transfer matrix…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 A. R. S. Lins , Jonas R. F. Lima

The Fermi velocity is one of the key concepts in the study of a material, as it bears information on a variety of fundamental properties. Upon increasing demand on the device applications, graphene is viewed as a prototypical system for…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Choongyu Hwang , David A. Siegel , Sung-Kwan Mo , William Regan , Ariel Ismach , Yuegang Zhang , Alex Zettl , Alessandra Lanzara

We demonstrate that graphene-based photonic superlattices provide a versatile platform for electrical and all-optical control of photonic beams with deep-subwavelength accuracy. Specifically, by inserting graphene sheets into periodic…

We study a novel type of graphene-based superlattices formed owing to a periodic modulation of the Fermi surface. Such a modulation is possible for graphene deposited on a striped substrate made of materials with substantially different…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 P. V. Ratnikov , A. P. Silin

We have investigated shot noise in graphene field effect devices in the temperature range of 4.2--30 K at low frequency ($f$ = 600--850 MHz). We find that for our graphene samples with large width over length ratio $W/L$, the Fano factor…

Mesoscale and Nanoscale Physics · Physics 2008-07-01 R. Danneau , F. Wu , M. F. Craciun , S. Russo , M. Y. Tomi , J. Salmilehto , A. F. Morpurgo , P. J. Hakonen

Peculiar electronic properties of graphene, including the universal dc conductivity and the pseudodiffusive shot noise, are usually attributed to a small vicinity of the charge-neutrality point, away from which electron's effective mass…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Adam Rycerz
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