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Hydrodynamic electron transport arises when carrier kinetics are dominated by interelectron collisions rather than the relaxation of momentum out of the electron system. In recent years, signatures of electron hydrodynamics have been…

The remarkable electrical, optical and mechanical properties of graphene make it a desirable material for electronics, optoelectronics and quantum applications. A fundamental understanding of the electrical conductivity of graphene across a…

We theoretically study the nonlinear optical response of ABC trilayer graphene with inversion symmetry broken by the application of a displacement field perpendicular to the trilayer. We show that rhombohedral trilayer graphene exhibits a…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Abigail Postlewaite , Arpit Raj , Swati Chaudhary , Gregory A. Fiete

We investigate the low energy continuum limit theory for electrons in a graphene sheet under strain. We use the quantum field theory in curved spaces to analyze the effect of the system deformations into an effective gauge field. We study…

Mesoscale and Nanoscale Physics · Physics 2015-12-15 Enrique Arias , Alexis R. Hernández , Caio Lewenkopf

Graphene is a monolayer graphitic film in which electrons behave like two-dimensional Dirac fermions without mass. Its study has attracted a wide interest in the domain of condensed matter physics. In particular, it represents an ideal…

Mathematical Physics · Physics 2025-05-16 William Borrelli , Umberto Morellini

The exact analytical description of non relativistic charge motion in general magnetic fields is, apparently, a simple problem but, it has not been solved up to now apart for rare cases. The key feature of the present derivation is to adopt…

Plasma Physics · Physics 2015-06-23 Claudio Di Troia

We develop a theory of nonlinear response to an electric field of a two-dimensional electron gas (2DEG) placed in a classically strong magnetic field. The latter leads to a non-linear current-voltage characteristic at a relatively weak…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 M. G. Vavilov , I. L. Aleiner , L. I. Glazman

Establishing the conditions under which orbital, spin and lattice-pseudospin degrees of freedom are mutually coupled in realistic nonequilibrium conditions is a major goal in the emergent field of graphene spintronics. Here, we use…

Mesoscale and Nanoscale Physics · Physics 2021-11-16 Aires Ferreira

We study graphene in a two-dimensional dynamical noncommutative space in the presence of a constant magnetic field. The model is solved using perturbation theory and to the second order of perturbation. The energy levels of the system are…

Quantum Physics · Physics 2022-06-17 Ilyas Haouam , S Ali Alavi

A great efficacy of molecular quantum chemistry applied to basic graphene problems has been recently demonstrated by the authors when studying the formation of peculiar composites between carbon nanotubes and graphene as well as considering…

Mesoscale and Nanoscale Physics · Physics 2011-02-07 Elena F Sheka , Nadezhda A Popova

We investigate coherent electron dynamics in graphene, interacting with the electric field waveform of two orthogonally polarized, few-cycle laser pulses. Recently, we demonstrated that linearly polarized driving pulses lead to…

Mesoscale and Nanoscale Physics · Physics 2018-11-20 Christian Heide , Takuya Higuchi , Heiko B. Weber , Peter Hommelhoff

For the hopping dynamics in a one-dimensional model, containing energy and barrier disorder, we determine the linear and nonlinear response to an external field for arbitrary external frequencies. The calculation is performed in analytical…

Disordered Systems and Neural Networks · Physics 2013-02-15 Clara Mattner , Bernhard Roling , Andreas Heuer

In this article, we investigate some issues related to the quantification of uncertainties associated with the electrical properties of graphene nanoribbons. The approach is suited to understand the effects of missing information linked to…

Computational Physics · Physics 2025-01-14 Andrea Medaglia , Giovanni Nastasi , Vittorio Romano , Mattia Zanella

We obtain the output characteristics of graphene field-effect transistors by using the charge-control model for the current, based on the solution of the Boltzmann equation in the field-dependent relaxation time approximation. Closed…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 Brett W. Scott , Jean-Pierre Leburton

Theoretical progress in graphene physics has largely relied on the application of a simple nearest-neighbor tight-binding model capable of predicting many of the electronic properties of this material. However, important features that…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Z. M. Abd El-Fattah , M. A. Kher-Elden , I. Piquero-Zulaica , F. J. Garcia de Abajo , J. E. Ortega

The conductivity of armchair graphene nanoribbons in the presence of short-range impurities and edge roughness is studied theoretically using the Boltzmann transport equation for quasi-one-dimensional systems. As the number of occupied…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Hengyi Xu , Thomas Heinzel

The goal of this thesis is the development and implementation of a non-perturbative solution method for Wegner's flow equations. We show that a parameterization of the flowing Hamiltonian in terms of a scalar function allows the flow…

Other Condensed Matter · Physics 2009-11-11 J. N. Kriel

We present an extension of recent relativistic Lattice Boltzmann methods based on Gaussian quadratures for the study of fluids in (2+1) dimensions. The new method is applied to the analysis of electron flow in graphene samples subject to…

Computational Physics · Physics 2018-04-10 A. Gabbana , M. Mendoza , S. Succi , R. Tripiccione

We probe electronic excitations between Landau levels in freestanding $N-$layer graphene over a broad energy range, with unprecedented spectral and spatial resolution, using micro-magneto Raman scattering spectroscopy. A characteristic…

Mesoscale and Nanoscale Physics · Physics 2014-10-03 Stéphane Berciaud , Marek Potemski , Clément Faugeras

Graphene is known to possess strong optical nonlinearity. Its nonlinear response can be further enhanced by graphene plasmons. Here, we report a novel nonlinear electro-absorption effect observed in nanostructured graphene due to excitation…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 D. Kundys , B. Van Duppen , O. P. Marshall , F. Rodriguez , I. Torre , A. Tomadin , M. Polini , A. N. Grigorenko