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We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev

Disordered Fermi-Dirac distributions are used to model, within a straightforward and essentially phenomenological Boltzmann equation approach, the electron/hole transport across graphene puddles. We establish, with striking experimental…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 L. Moriconi , D. Niemeyer

In this article, we propose a new numerical model for computation of the transport of electrons in a graphene device. The underlying quantum model for graphene is a massless Dirac equation, whose eigenvalues display a conical singularity…

Mathematical Physics · Physics 2016-11-23 Clotilde Fermanian Kammerer , Florian Méhats

We calculate the conductivity of arbitrarily stacked multilayer graphene sheets within a relaxation time approximation, considering both short-range and long-range impurities. We theoretically investigate the feasibility of identifying the…

Mesoscale and Nanoscale Physics · Physics 2011-05-20 Hongki Min , Parakh Jain , S. Adam , M. D. Stiles

Motivated by recent graphene transport experiments, we have undertaken a numerical study of the conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal distinct differences between the cases of short-range and…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , A. H. MacDonald

The impact of the electron-electron Coulomb interaction on the optical conductivity of graphene has led to a controversy that calls into question the universality of collisionless transport in this and other Dirac materials. Using a lattice…

Strongly Correlated Electrons · Physics 2016-07-06 Julia M. Link , Peter P. Orth , Daniel E. Sheehy , Jörg Schmalian

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 study quantum transport in Dirac materials with a single fermionic Dirac cone (strong topological insulators and graphene in the absence of intervalley coupling) in the presence of non-Gaussian long-range disorder. We show, by directly…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 E. Rossi , J. H. Bardarson , M. S. Fuhrer , S. Das Sarma

We review a calculation of the quantum corrections to electrical transport in graphene using the trajectory-based semiclassical method. Compared to conventional metals, for graphene the semiclassical propagator contains an additional…

Mesoscale and Nanoscale Physics · Physics 2014-07-22 Martin Schneider , Piet W. Brouwer

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Electrical transport in semiconductor superlattices is studied within a fully self-consistent quantum transport model based on nonequilibrium Green functions, including phonon and impurity scattering. We compute both the drift…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Wacker , A. -P. Jauho , S. Rott , A. Markus , P. Binder , G. H. D"ohler

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

From the scattering of semicoherent-state wavepackets at high magnetic field, we derive analytically the transmission coefficient of electrons in graphene in the quantum Hall regime through a smooth constriction described by a quadratic…

Mesoscale and Nanoscale Physics · Physics 2010-11-13 Martina Flöser , Thierry Champel , Serge Florens

We apply the semi-classical quantum Boltzmann formalism for the computation of transport properties to multilayer graphene. We compute the electrical conductivity as well as the thermal conductivity and thermopower for Bernal-stacked…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Glenn Wagner , Dung X. Nguyen , Steven H. Simon

Electrons and holes in clean, charge-neutral graphene behave like a strongly coupled relativistic liquid. The thermo-electric transport properties of the interacting Dirac quasiparticles are rather special, being constrained by an emergent…

Strongly Correlated Electrons · Physics 2017-08-23 Markus Mueller , Lars Fritz , Subir Sachdev , Joerg Schmalian

Semiclassical spin-coherent kinetic equations can be derived from quantum theory with many different approaches (Liouville equation based approaches, nonequilibrium Green's functions techniques, etc.). The collision integrals turn out to be…

Mesoscale and Nanoscale Physics · Physics 2013-06-24 Janik Kailasvuori , Matthias C. Lüffe

Peculiar electronic properties of graphene, including the universal dc conductivity and the pseudodiffusive shot noise, are usually attributed to a small vicinity of the charge-neutrality point, away from which electron's effective mass…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Adam Rycerz

The electronic states of an electrostatically confined cylindrical graphene quantum dot and the electric transport through this device are studied theoretically within the continuum Dirac-equation approximation and compared with numerical…

Mesoscale and Nanoscale Physics · Physics 2011-08-12 G. Pal , W. Apel , L. Schweitzer

A-B stacked bilayer graphene has massive electron and hole-like excitations with zero gap in the nearest-neighbor hopping approximation. In equilibrium, the quasiparticle occupation approximately follows the usual Fermi-Dirac distribution.…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Dung X. Nguyen , Glenn Wagner , Steven H. Simon

Close to the Dirac point, graphene is expected to exist in quantum critical Dirac fluid state, where the flow of both charge and heat can be described with a dc electrical conductivity $\sigma_\mathrm{Q}$, and thermodynamic variables such…

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