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Related papers: Quantum Boltzmann equation for bilayer graphene

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The remarkable transport properties of graphene follow not only from the the Dirac-like energy dispersion, but also from the chiral nature of its excitations, which makes unclear the limits of applicability of the standard semiclassical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Cappelluti , L. Benfatto

30$^{\circ}$ twisted bilayer graphene demonstrates the quasicrystalline electronic states with 12-fold symmetry. These states are however far away from the Fermi level, which makes conventional Dirac fermion behavior dominating the low…

Materials Science · Physics 2020-07-13 Guodong Yu , Mikhail I. Katsnelson , Shengjun Yuan

The nonequilibrium dynamics of carriers and phonons in graphene is investigated by solving the microscopic kinetic equations with the carrier-phonon and carrier-carrier Coulomb scatterings explicitly included. The Fermi distribution of hot…

Mesoscale and Nanoscale Physics · Physics 2012-03-15 B. Y. Sun , Y. Zhou , M. W. Wu

Electron devices based on graphene have lately received a considerable interest; in fact, they could represent the ultimate miniaturization, since the active area is only one atom tick. However, the gapless dispersion relation of graphene…

Mathematical Physics · Physics 2025-12-04 Giovanni Nastasi , Vittorio Romano

Non-diffusive effects in charge transport become relevant as device sizes and features become comparable to the electronic mean free path. As a model system, we investigate the electric transport around mesoscopic defects in graphene with…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 Toni Markovic , Wei Huang , William S. Huxter , Pietro Gambardella , Sebastian Stepanow

We study the electron/hole transport in puddle-disordered and rough graphene samples which are subject to in-plane magnetic fields. Previous treatments, mostly devoted to regimes where the electron/hole scattering wavelengths are larger…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 R. R. Brandão , L. Moriconi

The flat bands in bilayer graphene(BLG) are sensitive to electric fields E\bot directed between the layers, and magnify the electron-electron interaction effects, thus making BLG an attractive platform for new two-dimensional (2D) electron…

Mesoscale and Nanoscale Physics · Physics 2012-03-23 J. Velasco , L. Jing , W. Bao , Y. Lee , P. Kratz , V. Aji , M. Bockrath , C. N. Lau , C. Varma , R. Stillwell , D. Smirnov , Fan Zhang , J. Jung , A. H. MacDonald

Monitoring electronic properties of 2D materials is an essential step to open a way for applications such as electronic devices and sensors. From this perspective, Bernal bilayer graphene (BLG) is a fairly simple system that offers great…

Mesoscale and Nanoscale Physics · Physics 2021-12-17 Jouda Jemaa Khabthani , Ahmed Missaoui , Didier Mayou , Guy Trambly de Laissardière

We report on non-equilibrium properties of graphene probed by superconducting tunnel spectroscopy. A hexagonal boron nitride (hBN) tunnel barrier in combination with a superconducting Pb contact is used to extract the local energy…

We describe a method for numerically incorporating electron--electron scattering in quantum wells for small deviations of the distribution function from equilibrium, within the framework of the Boltzmann equation. For a given temperature…

Condensed Matter · Physics 2009-10-28 Ben Yu-Kuang Hu , Karsten Flensberg

In equilibrium planer systems of Hall electrons, such as GaAs heterostructures and graphene, support two species of current counterflowing along the system edges, as observed recently in experiment using a nanoscale magnetometer. We examine…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 K. Shizuya

We discuss the quantum Hall effect of bilayer graphene with finite gate voltage where the Fermi energy exceeds the interlayer hopping energy. We calculated magnetic susceptibility, diagonal and off-diagonal conductivities in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Masaaki Nakamura , Lila Hirasawa , Ken-Ichiro Imura

We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 U. Briskot , M. Schütt , I. V. Gornyi , M. Titov , B. N. Narozhny , A. D. Mirlin

Electric, thermal and thermoelectric transport in correlated electron systems probe different aspects of the many-body dynamics, and thus provide complementary information. These are well studied in the low- and high-temperature limits,…

Strongly Correlated Electrons · Physics 2020-02-19 Woo-Ram Lee , Alexander M. Finkel'stein , Karen Michaeli , Georg Schwiete

For low density gases the validity of the Boltzmann transport equation is well established. The central object is the one-particle distribution function, $f$, which in the Boltzmann-Grad limit satisfies the Boltzmann equation. Grad and,…

Mathematical Physics · Physics 2009-11-11 Herbert Spohn

We derive analytical expressions for the conductivity of bilayer graphene (BLG) using the Boltzmann approach within the the Born approximation for a model of Gaussian disorders describing both short- and long-range impurity scattering. The…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

Different scattering mechanisms in graphene are explored and conductivity is calculated within the Boltzmann transport theory. We provide results for short-range scattering using the Random Phase Approximation for electron screening, as…

Mesoscale and Nanoscale Physics · Physics 2008-03-15 Shaffique Adam , E. H. Hwang , S. Das Sarma

We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium situation, this leads to the ``golden rule'' factor for quantum…

Condensed Matter · Physics 2008-02-03 R. K. Bhaduri , R. S. Bhalerao , M. V. N. Murthy

Motivated by the notion that a preponderance of Coulomb interactions might lead to hydrodynamics, we carry out an ab initio calculation of the charge carrier transport properties of the electron-hole plasma of doped graphene. We include…

Materials Science · Physics 2026-01-05 Dwaipayan Paul , Nakib H. Protik

In a two-dimensional electron gas, the electron-electron interaction generally becomes stronger at lower carrier densities and renormalizes the Fermi liquid parameters such as the effective mass of carriers. We combine experiment and theory…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 J. Li , L. Z. Tan , K. Zou , A. A. Stabile , D. J. Seiwell , K. Watanabe , T. Taniguchi , Steven G. Louie , J. Zhu
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