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The problem of both electron and phonon scattering by wedge disclination dipoles (WDD) is studied in the framework of the deformation potential approach. The exact analytical results for the mean free path are obtained within the Born…

Materials Science · Physics 2016-08-31 S. E. Krasavin , V. A. Osipov

We calculate magnetic field fluctuations above a conductor with a nonlocal response (spatial dispersion) and consider a large range of distances. The cross-over from ballistic to diffusive charge transport leads to reduced noise spectrum at…

Mesoscale and Nanoscale Physics · Physics 2012-02-09 Harald R. Haakh , Carsten Henkel

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

We study the electronic transport properties of dual-gated bilayer graphene devices. We focus on the regime of low temperatures and high electric displacement fields, where we observe a clear exponential dependence of the resistance as a…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Thiti Taychatanapat , Pablo Jarillo-Herrero

Graphene is a 2-dimensional (2D) carbon allotrope with the atoms arranged in a honeycomb lattice. The low-energy electronic excitations in this 2D crystal are described by massless Dirac fermions that have a linear dispersion relation…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Peter Rickhaus , Romain Maurand , Ming-Hao Liu , Markus Weiss , Klaus Richter , Christian Schönenberger

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

Nanostructuring of graphene is in part motivated by the requirement to open a gap in the electronic band structure. In particular, a periodically perforated graphene sheet in the form of an antidot lattice may have such a gap. Such systems…

Mesoscale and Nanoscale Physics · Physics 2014-09-09 Stephen R. Power , Antti-Pekka Jauho

The inhomogenous real-space electronic structure of gapless and gapped disordered bilayer graphene is calculated in the presence of quenched charge impurities. For gapped bilayer graphene we find that for current experimental conditions the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 E. Rossi , S. Das Sarma

We present a rigorous microscopic theory of the extrinsic spin Hall effect in disordered graphene based on a nonperturbative quantum diagrammatic treatment incorporating skew scattering and anomalous---impurity…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Mirco Milletari , Aires Ferreira

In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

Materials Science · Physics 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

The full counting statistics of the charge transport through an undoped graphene sheet in the presence of smooth disorder is studied. At the Dirac point both in clean and diffusive limits, transport properties of a graphene sample are…

Mesoscale and Nanoscale Physics · Physics 2010-10-11 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Electron transport in a graphene quantum well can be analogous to photon transmission in an optical fiber. In this work, we present a detailed theoretical analysis to study the transport characteristics of graphene waveguides under the…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Nayyar Abbas Shah , Vahid Mosallanejad , Kuei-Lin Chiu , Guo-ping Guo

Understanding ballistic phonon transport effects in transient thermoreflectance experiments and explaining the observed deviations from classical theory remains a challenge. Diffusion equations are simple and computationally efficient but…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Jesse Maassen , Mark Lundstrom

We fabricated graphene pnp devices, by embedding pre-defined local gates in an oxidized surface layer of a silicon substrate. With neither dielectric-material deposition nor electron-beam irradiation on the graphene, we obtained…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Seung-Geol Nam , Dong-Keun Ki , Jong Wan Park , Youngwook Kim , Jun Sung Kim , Hu-Jong Lee

The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

We investigate the contribution of charge puddles to the non-vanishing conductivity minimum in disordered graphene flakes at the charge neutrality point. For that purpose, we study systems with a geometry that suppresses the transmission…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Leandro R. F. Lima , Caio H. Lewenkopf

Porous graphene and graphite are increasingly utilized in electrochemical energy storage and solar-thermal applications due to their unique structural and thermal properties. In this study, we conduct a comprehensive analysis of the lattice…

Mesoscale and Nanoscale Physics · Physics 2025-04-14 John Crosby , Haoran Cui , Yan Wang

The Debye-Falkenhagen differential equation is commonly used as a mean-field macroscopic model for describing electrochemical ionic drift and diffusion in dilute binary electrolytes when subjected to a suddenly applied potential smaller…

Classical Physics · Physics 2023-08-02 Anis Allagui , Georgii Paradezhenko , Anastasiia Pervishko , Dmitry Yudin , Hachemi Benaoum

We investigate quantum tunneling of charge carriers through a periodic superlattice in twisted bilayer graphene (TBG) with rectangular potential barriers, including the presence of a defect, using a low-energy continuum model. Transmission…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Ayoub Bahlaoui , Youness Zahidi , Ahmed Naddami

We present a method for incorporating image-charge effects into the description of charge transport through molecular devices. A simple model allows us to calculate the adjustment of the transport levels, due to the polarization of the…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 C. J. O. Verzijl , J. A. Celis Gil , M. L. Perrin , D. Dulić , H. S. J. van der Zant , J. M. Thijssen