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We study the phases of correlated charge-density waves that form at a high magnetic field in two parallel graphene flakes separated by a thin insulator. The predicted phases include the square and hexagonal charge-density-wave bubbles, and…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Csaba Toke , Vladimir I. Fal'ko

Guiding electronic waves in a manner similar to photon transmission in optical fibers is key for developing the electron-optics toolbox. Here we outline a `weak guiding' approach, in which efficient diffraction around disorder results in…

Mesoscale and Nanoscale Physics · Physics 2015-12-15 Kamphol Akkaravarawong , Oles Shtanko , Leonid Levitov

We present the results of million atom electronic quantum transport calculations for graphene nanoconstrictions with edges that are smooth apart from atomic scale steps. We find conductances quantized in integer multiples of 2e2/h and a…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 S. Ihnatsenka , G. Kirczenow

We consider a square lattice configuration of circular gate-defined quantum dots in an unbiased graphene sheet and calculate the electronic, particularly spectral properties of finite albeit actual sample sized systems by means of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. Pieper , R. L. Heinisch , G. Wellein , H. Fehske

We consider the problem of unique identification of dielectric coefficients for gratings and sound speeds for wave guides from scattering data. We prove that the "propagating modes" given for all frequencies uniquely determine these…

Analysis of PDEs · Mathematics 2015-07-21 Gregory Eskin , James Ralston , Masahiro Yamamoto

The contact conductance between graphene and two quantum wires which serve as the leads to connect graphene and electron reservoirs is theoretically studied. Our investigation indicates that the contact conductance depends sensitively on…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Haidong Li , Yisong Zheng

We present a theoretical analysis of unidirectional interface states which form near $p$-$n$ junctions in a graphene monolayer subject to a homogeneous magnetic field. The semiclassical limit of these states corresponds to trajectories…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 L. Cohnitz , A. De Martino , W. Häusler , R. Egger

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

Bilayer graphene subjected to perpendicular magnetic and electric fields displays a subtle competition between different symmetry broken phases, resulting from an interplay between the internal spin and valley degrees of freedom. The…

Strongly Correlated Electrons · Physics 2015-04-14 Kusum Dhochak , Efrat Shimshoni , Erez Berg

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

The ballistic conductance through a device consisting of quantum wires, to which two stubs are attached laterally, is calculated assuming parabolic confining potentials of frequencies $\omega_w$ for the wires and $\omega_s$ for the stubs.…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 R. Akis , P. Vasilopoulos , P. Debray

Quantum transport properties in quantum Hall wires in the presence of spatially correlated disordered magnetic fields are investigated numerically. It is found that the correlation drastically changes the transport properties associated…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

We investigate new properties of the Dirac electrons in the finite graphene sample under perpendicular magnetic field that emerge when an in-plane electric bias is also applied. The numerical analysis of the Hofstadter spectrum and of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 B. Ostahie , M. Nita , A. Aldea

We propose a Corbino-disk geometry of a graphene membrane under out-of-plane strain deformations as a convenient path to detect pseudo-magnetic and electric fields via electronic transport. The three-fold symmetric pseudo-magnetic field…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Jonathan Amasay , Eran Sela

Probing techniques with spatial resolution have the potential to lead to a better understanding of the microscopic physical processes and to novel routes for manipulating nanostructures. We present scanning-gate images of a graphene quantum…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 S. Schnez , J. Güttinger , M. Huefner , C. Stampfer , K. Ensslin , T. Ihn

We measure graphene coplanar waveguides from direct current (DC) to 13.5GHz and show that the apparent resistance (in the presence of parasitic impedances) has an quadratic frequency dependence, but the intrinsic conductivity (without the…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 S. A. Awan , A. Lombardo , A. Colli , G. Privitera , T. Kulmala , J. M. Kivioja , M. Koshino , A. C. Ferrari

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

The conductance of graphene subject to a strong, tilted magnetic field exhibits a dramatic change from insulating to conducting behavior with tilt-angle, regarded as evidence for the transition from a canted antiferromagnetic (CAF) to a…

Strongly Correlated Electrons · Physics 2016-03-30 Pavel Tikhonov , Efrat Shimshoni , H. A. Fertig , Ganpathy Murthy

The effect of strain in graphene is usually modeled by a pseudo-magnetic vector potential which is, however, derived in the limit of small strain. In realistic cases deviations are expected in view of graphene's very high strain tolerance,…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 D. Moldovan , M. Ramezani Masir , F. M. Peeters

Highly-doped graphene samples show the conductance reduced and the shot-noise power enhanced compared to standard ballistic systems in two-dimensional electron gas. These features can be understood within a model assuming incoherent…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Adam Rycerz , Katarzyna Rycerz , Piotr Witkowski