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We put forward a theory of the weak localization in two dimensional graphene layers which explains experimentally observable transition between positive and negative magnetoresistance. Calculations are performed for the whole range of…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 M. O. Nestoklon , N. S. Averkiev

On the basis of self-consistent Born approximation, we present a theory of weak localization of Dirac fermions under finite-range scatters in graphene. With an explicit solution to the ground state of singlet pseudospin Cooperons, we solve…

Strongly Correlated Electrons · Physics 2008-12-28 Xin-Zhong Yan , C. S. Ting

We show that the manifestation of quantum interference in graphene is very different from that in conventional two-dimensional systems. Due to the chiral nature of charge carriers, it is sensitive not only to inelastic, phase-breaking…

Mesoscale and Nanoscale Physics · Physics 2008-02-09 F. V. Tikhonenko , D. W. Horsell , R. V. Gorbachev , A. K. Savchenko

In the presence of the charged impurities, we study the weak localization (WL) effect by evaluating the quantum interference correction (QIC) to the conductivity of Dirac fermions in graphene. With the inelastic scattering rate due to…

Strongly Correlated Electrons · Physics 2008-12-22 Xin-Zhong Yan , C. S. Ting

Low-field magnetoresistance is ubiquitous in low-dimensional metallic systems with high resistivity and well understood as arising due to quantum interference on self-intersecting diffusive trajectories. We have found that in graphene this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. V. Morozov , K. S. Novoselov , M. I. Katsnelson , F. Schedin , L. A. Ponomarenko , D. Jiang , A. K. Geim

We describe the weak localization correction to conductivity in ultra-thin graphene films, taking into account disorder scattering and the influence of trigonal warping of the Fermi surface. A possible manifestation of the chiral nature of…

Mesoscale and Nanoscale Physics · Physics 2009-03-12 K. Kechedzhi , E. McCann , Vladimir I. Fal'ko , H. Suzuura , T. Ando , B. L. Altshuler

This review aims at a theoretical discussion of Dirac points in two-dimensional systems. Whereas Dirac points and Dirac fermions are prominent low-energy electrons in graphene (two-dimensional graphite), research on Dirac fermions in…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 Mark O. Goerbig , Gilles Montambaux

Graphene is a unique two-dimensional material with rich new physics and great promise for applications in electronic devices. Physical phenomena such as the half-integer quantum Hall effect and high carrier mobility are critically dependent…

By solving two-component spinor equation for massless Dirac Fermions, we show that graphene under a periodic external magnetic field exhibits a unique energy spectrum: At low energies, Dirac Fermions are localized inside the magnetic region…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Shuanglong Liu , Argo Nurbawono , Na Guo , Chun Zhang

Weak localization and weak anti-localization are quantum interference effects in quantum transport in a disordered electron system. Weak anti-localization enhances the conductivity and weak localization suppresses the conductivity with…

Mesoscale and Nanoscale Physics · Physics 2014-09-05 Hai-Zhou Lu , Shun-Qing Shen

The derivation for the transport coefficients of an electron system in the presence of temperature gradient and the electric and magnetic fields are presented. The Nernst conductivity and the transverse thermoelectric power of the Dirac…

Strongly Correlated Electrons · Physics 2014-11-20 Xin-Zhong Yan , C. S. Ting

We study localization properties of two-dimensional Dirac fermions subject to a power-law-correlated random vector potential describing, e.g., the effect of "ripples" in graphene. By using a variety of techniques (low-order perturbation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. V. Khveshchenko

Graphene has been predicted to develop a magnetic moment by proximity effect when placed on a ferromagnetic film, a promise that could open exciting possibilities in the fields of spintronics and magnetic data recording. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2016-08-01 Luca Pietrobon , Lorenzo Fallarino , Andreas Berger , Andrey Chuvilin , Fèlix Casanova , Luis E. Hueso

Due to the chiral nature of electrons in a monolayer of graphite (graphene) one can expect weak antilocalisation and a positive weak-field magnetoresistance in it. However, trigonal warping (which breaks p/-p symmetry of the Fermi line in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. McCann , K. Kechedzhi , Vladimir I. Fal'ko , H. Suzuura , T. Ando , B. L. Altshuler

We show that in bilayer graphene it is possible to achieve a very restrictive confinement of the massless Dirac fermions zero-modes by using inhomogeneous magnetic fields. Specifically, we show that, using a suitable nonuniform magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-11-13 Lucas Sourrouille

Due to Klein tunneling, electrostatic potentials are unable to confine Dirac electrons. We show that it is possible to confine massless Dirac fermions in a monolayer graphene sheet by inhomogeneous magnetic fields. This allows one to design…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. De Martino , L. Dell'Anna , R. Egger

We study quantum transport and scattering of massless Dirac fermions by spatially localized static magnetic fields. The employed model describes in a unified manner the effects of orbital magnetic fields, Zeeman and exchange fields in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 A. Zazunov , A. Kundu , A. Hütten , R. Egger

Recently, it has been theoretically predicted that Cd3As2 is a three dimensional Dirac material, a new topological phase discovered after topological insulators, which exhibits a linear energy dispersion in the bulk with massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2016-01-22 Bo Zhao , Peihong Cheng , Haiyang Pan , Shuai Zhang , Baigeng Wang , Guanghou Wang , Faxian Xiu , Fengqi Song

We have performed the first experimental investigation of quantum interference corrections to the conductivity of a bilayer graphene structure. A negative magnetoresistance - a signature of weak localisation - is observed at different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. V. Gorbachev , F. V. Tikhonenko , A. S. Mayorov , D. W. Horsell , A. K. Savchenko

We provide a comprehensive picture of magnetotransport in graphene monolayers in the limit of non-quantizing magnetic fields. We discuss the effects of two carrier transport, weak localization, weak anti-localization, and strong…

Mesoscale and Nanoscale Physics · Physics 2012-12-24 M. Hilke , M. Massicotte , E. Whiteway , V. Yu
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