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Based on the standard tight-binding model of the graphene $\pi$-band electronic structure, the extended H\"uckel model for the adsorbate and graphene carbon atoms, and spin splittings estimated from density functional theory (DFT), the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Alireza Saffarzadeh , George Kirczenow

We experimentally study quantized conductance in an electrostatically defined constriction in a high-mobility InAs two-dimensional electron gas. A parallel magnetic field lifts the spin degeneracy and allows for the observation of plateaus…

We calculate the low-frequency magnetoplasmon excitation spectrum for a square array of quantum dots on a two-dimensional (2D) graphene layer. The confining potential is linear in the distance from the center of the quantum dot. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Oleg L. Berman , Godfrey Gumbs , P. M. Echenique

Bilayer graphene provides a unique platform to explore the rich physics in quantum Hall effect. The unusual combination of spin, valley and orbital degeneracy leads to interesting symmetry broken states with electric and magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Manabendra Kuiri , Anindya Das

Our previous results on the nonperturbative calculations of the mean current and of the energy-momentum tensor in QED with the T-constant electric field are generalized to arbitrary dimensions. The renormalized mean values are found; the…

High Energy Physics - Theory · Physics 2012-12-24 S. P. Gavrilov , D. M. Gitman , N. Yokomizo

We study the ground-state properties of a double layer graphene system with the Coulomb interlayer electron-electron interaction modeled within the random phase approximation. We first obtain an expression of the quantum capacitance of a…

Materials Science · Physics 2017-09-06 Fariborz Parhizgar , Alireza Qaiumzadeh , Reza Asgari

100 % absorption in a two-dimensional electron gas (2DEG) with Dirac spectrum is demonstrated to be obtained by controlling the interference of multiple incident radiations, referred to as coherent perfect absorption (CPA). However, when a…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Dariush Jahani , Mohammadreza Alikhani , Yaser Abdi

The optical conductivity of graphene, bilayer graphene, and graphite in quantizing magnetic fields is studied. Both dynamical conductivities, longitudinal and Hall's, are analytically evaluated. The conductivity peaks are explained in terms…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 L. A. Falkovsky

With gate-defined electrostatic traps fabricated on a double quantum well we are able to realize an optically active and voltage-tunable quantum dot confining individual, long-living, spatially indirect excitons. We study the transition…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 G. J. Schinner , J. Repp , E. Schubert , A. K. Rai , D. Reuter , A. D. Wieck , A. O. Govorov , A. W. Holleitner , J. P. Kotthaus

When charge transport occurs under conditions like topological protection or ballistic motion, the conductance of low-dimensional systems often exhibits quantized values in units of $e^{2}/h$, where $e$ and $h$ are the elementary charge and…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Baojuan Dong , Kai Zhao , Kenji Watanabe , Takashi Taniguchi , Jianming Lu , Jianting Zhao , Fengcheng Wu , Jing Zhang , Zheng Han

We report tunneling spectroscopy experiments on a bilayer graphene double quantum dot device that can be tuned by all-graphene lateral gates. The diameter of the two quantum dots are around 50 nm and the constrictions acting as tunneling…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Christian Volk , Stefan Fringes , Bernat Terrés , Jan Dauber , Stephan Engels , Stefan Trellenkamp , Christoph Stampfer

Magneto-Raman scattering experiments from the surface of graphite reveal novel features associated to purely electronic excitations which are observed in addition to phonon-mediated resonances. Graphene-like and graphite domains are…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 C. Faugeras , M. Amado , P. Kossacki , M. Orlita , M. Kühne , A. A. L. Nicolet , Yu. I. Latyshev , M. Potemski

We analytically calculate the energy spectrum of a circular graphene quantum dot with radius R subjected to a perpendicular magnetic field B by applying the infinite-mass boundary condition. We can retrieve well-known limits for the cases…

Mesoscale and Nanoscale Physics · Physics 2009-02-27 S. Schnez , K. Ensslin , M. Sigrist , T. Ihn

We investigate the relativistic quantum dynamics of amassless electron in graphene in a two-dimensional noncommutative (NC) plane under a constant background magnetic field. To address the issue of gauge invariance, we employ an effective…

High Energy Physics - Theory · Physics 2025-09-30 Aslam Halder

Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Victor M. Villalba , Ramiro Pino

Trilayer graphene in the fractional Quantum Hall Effect regime displays a set of unique interaction-induced transitions that can be tuned entirely by the applied bias voltage. These transitions occur near the anti-crossing points of two…

Strongly Correlated Electrons · Physics 2015-06-03 Vadim M. Apalkov , Tapash Chakraborty

In this paper, we study the relativistic quantum problem of a particle constrained to a double cone surface. For this purpose, we build the Dirac equation in a curved space using the tetrads formalism. Two cases are analysed. First, we…

Quantum Physics · Physics 2017-02-03 Felipe Gomes , Edilberto Silva , Jonas Lima , Cleverson Filgueiras , Fernando Moraes

Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest Landau level can be thought as shared equally by electrons…

Mesoscale and Nanoscale Physics · Physics 2007-05-28 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

It is known that in two-dimensional relativistic Dirac systems placed in orthogonal uniform magnetic and electric fields, the Landau levels collapse as the applied in-plane electric field reaches a critical value $\pm E_c$. We study this…

Mesoscale and Nanoscale Physics · Physics 2022-08-04 I. O. Nimyi , V. Könye , S. G. Sharapov , V. P. Gusynin