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In this review we focus on the effect of the Dirac nature of graphene quasiparticles on two separate aspects. The first of these involves transport across superconducting graphene junctions with barriers of thickness $d_0$ and arbitrary…

Strongly Correlated Electrons · Physics 2012-09-11 M. Maiti , K. Saha , K. Sengupta

We study the effects of an in-plane magnetic field on the ground state properties of both gapless and gapped graphene sheets within Random Phase Approximation. The critical magnetic field which leads to a fully spin polarized phase…

Mesoscale and Nanoscale Physics · Physics 2009-08-01 A. Qaiumzadeh , Reza Asgari

The quantum oscillations of nonlinear magnetoresistance in graphene that occurs in response to a dc current bias are investigated. We present a theoretical model for the nonlinear magnetotransport of graphene carriers. The model is based on…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Ricardo Gutierrez-Jauregui , Manuel Torres

We obtain analytical expressions for the eigenstates and the Landau level spectrum of biased graphene bilayers in a magnetic field. The calculations are performed in the context of a four-band continuum model and generalize previous…

Mesoscale and Nanoscale Physics · Physics 2007-08-08 J. Milton Pereira , F. M. Peeters , P. Vasilopoulos

We studied the transport properties of electrons in graphene as they are scattered by a double barrier potential in the presence of an inhomogeneous magnetic field. We computed the transmission coefficient and Goos-H\"anchen like shifts for…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

Graphene is a mechanically robust 2D material promising for flexible optoelectronic applications. However, its electromagnetic properties under strain are experimentally poorly understood. Here we present the far-infrared transmission…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Manisha Chhikara , Iaroslav Gaponenko , Patrycja Paruch , Alexey. B. Kuzmenko

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

We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

We theoretically study electronic transport through a region with inhomogeneous Rashba spin-orbit (RSO) coupling placed between two normal regions in a monolayer graphene. The inhomogeneous RSO region is characterized by linearly varying…

Mesoscale and Nanoscale Physics · Physics 2016-01-21 Leila Razzaghi , Mir Vahid Hosseini

We theoretically study electronic properties of a graphene sheet on xy plane in a spatially nonuniform magnetic field, $B = B_0 \hat{z}$ in one domain and $B = B_1 \hat{z}$ in the other domain, in the quantum Hall regime and in the…

Mesoscale and Nanoscale Physics · Physics 2008-03-03 Sunghun Park , H. -S. Sim

We study the effects of strain on the electronic properties and persistent current characteristics of a graphene ring using the Dirac representation. For a slightly deformed graphene ring flake, one obtains sizable pseudomagnetic (gauge)…

Mesoscale and Nanoscale Physics · Physics 2013-06-19 D. Faria , A. Latge , S. E. Ulloa , N. Sandler

We present a study on the uniformity of the pseudomagnetic field in graphene as a function of the relative orientation between the graphene lattice and straining directions. For this, we strained a regular micron-sized graphene hexagon by…

Mesoscale and Nanoscale Physics · Physics 2015-08-17 G. J. Verbiest , S. Brinker , C. Stampfer

Recently a new high-mobility Dirac material, trilayer graphene, was realized experimentally. The band structure of ABA-stacked trilayer graphene consists of a monolayer-like and a bilayer-like pairs of bands. Here we study electronic…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Maksym Serbyn , Dmitry A. Abanin

We study the effect of a magnetic field on Dirac fermions in graphene subject to a scalar potential oscillating in time. Using the Floquet theory and resonance approximation, we show that the energy spectrum exhibits extra subbands resulted…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Rachid El Aitouni , Ahmed Jellal

Nonuniform strain in graphene induces a position dependence of the Fermi velocity, as recently demonstrated by scanning tunnelling spectroscopy experiments. In this work, we study the effects of a position-dependent Fermi velocity on the…

Mesoscale and Nanoscale Physics · Physics 2018-07-09 M. Oliva-Leyva , J. E. Barrios-Vargas , Chumin Wang

We study the the transport properties of multiterminal ballistic graphene samples, concentrating on the conductance matrix, fluctuations and cross-correlations. Far away from Dirac point, the current is carried mostly by propagating modes…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 M. A. Laakso , T. T. Heikkilä

The pseudo-magnetic field generated by mechanical strain in graphene can have dramatic consequences on the behavior of electrons and holes. Here we show that pseudo-magnetic field fluctuations present in crumpled graphene can induce…

Anisotropic hopping in a toy Hofstadter model was recently invoked to explain a rich and surprising Landau spectrum measured in twisted bilayer graphene away from the magic angle. Suspecting that such anisotropy could arise from unintended…

We study the dependence of the plasmon dispersion relation of graphene on applied uniaxial strain. Besides electron correlation at the RPA level, we also include local field effects specific for the honeycomb lattice. As a consequence of…

Mesoscale and Nanoscale Physics · Physics 2010-09-21 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

We study Dirac fermions in gapped graphene that are subjected to a magnetic field and a potential barrier harmonically oscillating in time. The tunneling modes inside the gap and the associated Goos-H\"anchen (GH) shifts are analytically…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli