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We show how the two-dimensional Dirac oscillator model can describe some properties of electrons in graphene. This model explains the origin of the left-handed chirality observed for charge carriers in monolayer and bilayer graphene. The…

Mesoscale and Nanoscale Physics · Physics 2013-11-21 C. Quimbay , P. Strange

After having derived boundary conditions for dressed-state electrons in a dice lattice, we investigate the electron tunneling through a square electrostatic potential barrier in both dice lattices and graphene under a linearly-polarized…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Andrii Iurov , Liubov Zhemchuzhna , Paula Fekete , Godfrey Gumbs , Danhong Huang

We study massive Dirac fermion tunneling through time periodic potential in a silicene-based N-TP-N junction, where Ns are normal silicene regions and TP is the time periodic potential barrier. The fermions would absorb or emit photons due…

Mesoscale and Nanoscale Physics · Physics 2020-02-06 Ruanglak Jongchotinon , Bumned Soodchomshom

We propose a chiral symmetry restoration mechanism in monolayer graphene, in analogy with the strongly coupled gauge theory. The chiral (sublattice) symmetry of graphene, which is spontaneously broken under the effectively strong Coulomb…

Strongly Correlated Electrons · Physics 2011-09-09 Yasufumi Araki

We analyze spin scattering in ballistic transport of electrons through a ripple at a normal incidence of an electron flow. The model of a ripple consists of a curved graphene surface in the form of an arc of a circle connected from the…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 M. Pudlak , K. N. Pichugin , R. G. Nazmitdinov

We investigate thermoelectric transport in monolayer graphene across a finite complex barrier within a Landauer scattering framework. Solving the Dirac-Weyl problem exactly, we show that the imaginary part of the barrier renders the…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Daniel A. Bonilla , Juan A. Cañas , J. C. Pérez-Pedraza , A. Martín-Ruiz

Ripples in pristine freestanding graphene naturally orient themselves in an array that is alternately curved-up and curved-down; maintaining an average height of zero. Using scanning tunneling microscopy (STM) to apply a local force, the…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 J. K. Schoelz , P. Xu , V. Meunier , P. Kumar , M. Neek-Amal , P. M. Thibado , F. M. Peeters

Manipulating the circular polarization of light is of great importance in chemistry and biology, as chiral molecules exhibit different physiological properties when exposed to different circularly polarized waves. Here we suggest a…

Optics · Physics 2023-07-19 Tuo Chen , Sailing He

Using the coupled-mode theory in guided-wave optics and electronics, we explore a directional coupling structure composed of two parallel waveguides electrostatically induced by the split-gate technique in bulk graphene. Our results show…

Mesoscale and Nanoscale Physics · Physics 2011-03-29 L. Zhao , Wenhui Duan

With the further scaling of silicon MOSFETs becoming increasingly harder, the search for an alternative material became crucial. The electron device community found many of the answers in two dimensional materials, especially graphene. With…

Mesoscale and Nanoscale Physics · Physics 2018-05-25 Supratik Sarkar , Samrat Sarkar

We show that the probability of electric field induced interband tunneling in solid state systems is generically a non-monotonic (oscillatory) function of the applied field. This unexpected behavior can be understood as arising due to a…

Mesoscale and Nanoscale Physics · Physics 2013-06-13 Sonika Johri , Rahul Nandkishore , R. N. Bhatt , E. J. Mele

We study quasi-particle transmission through an $n $-$p$ junction in a graphene irradiated by an electromagnetic field (EF). In the absence of EF the electronic spectrum of undoped graphene is gapless, and one may expect the perfect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. V. Fistul , K. B. Efetov

We study the dynamics of semiclassical electrons in (gapped) graphene in two complementary limits, i.e. in the Klein tunneling and valley Hall effect regimes, by scattering wave packets off armchair step potentials and by exposing wave…

Mesoscale and Nanoscale Physics · Physics 2014-08-19 Christoph. M. Puetter , Satoru Konabe , Yasuhiro Tokura , Yasuhiro Hatsugai , Kenji Shiraishi

We address the tunneling current in a graphene-hBN-graphene heterostructure as function of the twisting between the crystals. The twisting induces a modulation of the hopping amplitude between the graphene layers, that provides the extra…

Mesoscale and Nanoscale Physics · Physics 2014-07-16 Luis Brey

We use the Dirac continuum model to study the propagation of electronic wave packets in graphene with periodically arranged circular potential steps. The time propagation of the wave packets are calculated using the split-operator method…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 M. M. Suleimanov , M. U. Nosirov , H. T. Yusupov , A. Chaves , G. R. Berdiyorov , Kh. Yu. Rakhimov

We consider tunneling transport between two parallel graphene sheets where one is a single-layer sample and the other one a bilayer. In the presence of an in-plane magnetic field, the interplay between combined energy and momentum…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 L Pratley , U. Zuelicke

Generating discernible valley contrasts and segregating valley-indexed fermions in real space within graphene poses considerable challenges due to the isotropic transport within the continuum energy range for degenerate valleys. This study…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 Shrushti Tapar , Bhaskaran Muralidharan

Scattering of a 2D Dirac electrons on a rectangular matrix potential barrier is considered using the formalism of spinor transfer matrices. It is shown, in particular, that in the absence of the mass term, the Klein tunneling is not…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Mikhail Erementchouk , Pinaki Mazumder , M. A. Khan , Michael N. Leuenberger

Electronic analogue of generalized Goos-H\"{a}nchen shifts is investigated in the monolayer graphene superlattice with one-dimensional periodic potentials of square barriers. It is found that the lateral shifts for the electron beam…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Xi Chen , Pei-Liang Zhao , Xiao-Jing Lu , Li-Gang Wang

In this paper, we study a theoretical method to calculate the conductance across a square barrier potential in monolayer graphene. We have obtained an analytical expression for the transmission coefficient across a potential barrier for…

Mesoscale and Nanoscale Physics · Physics 2016-11-26 C. H. Fuentevilla , J. D. Lejarreta , C. Cobaleda , E. Diez