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Planar electrodes patterned on a ferroelectric substrate are shown to provide lateral control of the conductive state of a two-terminal graphene stripe. A multi-level and on-demand memory control of the graphene resistance state is…

Materials Science · Physics 2015-11-17 V. Iurchuk , H. Majjad , F. Chevrier , D. Kundys , B. Leconte , B. Doudin , B. Kundys

For a sample of an arbitrary shape, the dependence of its conductance on the longitudinal and Hall conductivity is identical to that of a rectangle. We use analytic results for a conducting rectangle, combined with the semicircle model for…

Mesoscale and Nanoscale Physics · Physics 2008-07-12 Dmitry A. Abanin , Leonid S. Levitov

The unusual electronic properties of single-layer graphene make it a promising material system for fundamental advances in physics, and an attractive platform for new device technologies. Graphene's spin transport properties are expected to…

Mesoscale and Nanoscale Physics · Physics 2009-10-23 Mark B. Lundeberg , Joshua A. Folk

We consider a quantum graph as a model of graphene in constant magnetic field and describe the density of states in terms of relativistic Landau levels satisfying a Bohr--Sommerfeld quantization condition. That provides semiclassical…

Mathematical Physics · Physics 2019-05-01 Simon Becker , Maciej Zworski

Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use…

We consider conductance mapping of the snake-orbits confined along the n-p junction defined in graphene by the electrostatic doping in the quantum Hall regime. We explain the periodicity of conductance oscillations at the magnetic field and…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

Resonant scattering at the atomic absorbates in graphene was investigated recently in relation with the transport and gap opening problems. Attaching an impurity atom to graphene is believed to lead to the creation of unusual zero energy…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 P. G. Silvestrov

The electromagnetic mode spectrum of single-layer graphene subjected to a quantizing magnetic field is computed taking into account intraband and interband contributions to the magneto-optical conductivity. We find that a sequence of weakly…

Mesoscale and Nanoscale Physics · Physics 2012-05-16 A. Ferreira , N. M. R. Peres , A. H. Castro Neto

The optical conductivity of graphene, bilayer graphene, and graphite in quantizing magnetic fields is studied. Both dynamical conductivities, longitudinal and Hall's, are analytically evaluated. The conductivity peaks are explained in terms…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 L. A. Falkovsky

We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. A semiclassical approximation for the conductance is derived in terms of the various snake-like trajectories at…

Mesoscale and Nanoscale Physics · Physics 2010-06-21 Pierre Carmier , Caio Lewenkopf , Denis Ullmo

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…

Effects of correlated disorder on wave localization have attracted considerable interest. Motivated by the importance of studies of quantum transport in rough nanowires, here we examine how colored surface roughness impacts the conductance…

Disordered Systems and Neural Networks · Physics 2015-05-14 Gursoy B. Akguc , Jiangbin Gong

We propose an optical analogue of electron snake states based on artificial gauge magnetic field in photonic graphene with effective strain implemented by varying distance between pillars. We develop an intuitive and exhaustive continuous…

Mesoscale and Nanoscale Physics · Physics 2024-05-10 O. M. Bahrova , S. V. Koniakhin , A. V. Nalitov , E. D. Cherotchenko

A pseudo-magnetic field kink can be realized along a graphene nanoribbon using strain engineering. Electron transport along this kink is governed by snake states that are characterized by a single propagation direction. Those…

Mesoscale and Nanoscale Physics · Physics 2016-09-07 L. S. Cavalcante , A. Chaves , D. R. da Costa , G. A. Farias , F. M. Peeters

The conductance steps in a constricted two-dimensional electron gas and the minimum conductivity in graphene are related to a new uncertainty relation between electric charge and conductance in a quantized electric circuit that mimics the…

Quantum Physics · Physics 2009-11-13 Daniela Dragoman

We consider a waveguide formed in a clean graphene monolayer by a spatially inhomogeneous magnetic field. The single-particle dispersion relation for this waveguide exhibits a zero-energy Landau-like flat band, while finite-energy bands…

Mesoscale and Nanoscale Physics · Physics 2015-08-21 Laura Cohnitz , Wolfgang Häusler , Alex Zazunov , Reinhold Egger

We theoretically investigate the electronic transport properties of curved graphene waveguides by employing non-equilibrium Green's function techniques. We systematically study the dependence of the confined waveguide modes on the potential…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Vahid Mosallanejad , Ke Wang , Zhenhua Qiao , Guoping Guo

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

We calculate the conductance of a quantum wire with two occupied subbands in a presence of a barrier taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. V. Borin , K. E. Nagaev

We model the quantum Hall effect in heterostructures made of two gapped graphene stripes with different gaps, $\Delta_1$ and $\Delta_2$. We consider two main situations, $\Delta_1=0,\Delta_2\neq0$ and $\Delta_1=-\Delta_2$. They are…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 J. L. Lado , J. W. González , J. Fernández-Rossier