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The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schr\"odinger…

Mathematical Physics · Physics 2020-10-28 David J Fernández C , Juan D García M , Daniel O-Campa

Graphene p-n junctions offer a potentially powerful approach towards controlling electron trajectories via collimation and focusing in ballistic solid-state devices. The ability of p-n junctions to control electron trajectories depends…

An atomistic to continuum model for a graphene sheet undergoing bending is presented. Under the assumption that the atomic interactions are governed by a harmonic approximation of the 2nd-generation Brenner REBO (reactive empirical…

Mathematical Physics · Physics 2018-04-18 Cesare Davini , Antonino Favata , Roberto Paroni

We study the electron transport through the graphene PNP junction under a magnetic field and show that modes mixing plays an essential role. By using the non-equilibrium Green's function method, the space distribution of the scattering…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Ning Dai , Qing-Feng Sun

The electron momentum density obtained from the Schwinger-like mechanism is evaluated for a graphene sample immersed in a homogeneous time-dependent electric field. Based on the analogy between graphene low-energy electrons and quantum…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 F. Fillion-Gourdeau , D. Gagnon , C. Lefebvre , S. MacLean

Since its first isolation in 2004, graphene has been found to host a plethora of unusual electronic transport phenomena, making it a fascinating system for fundamental studies in condensed-matter physics as well as offering tremendous…

Using the partition-free time-dependent Landauer-B{\"u}ttiker formalism for transient current correlations, we study the traversal times taken for electrons to cross graphene nanoribbon (GNR) molecular junctions. We demonstrate electron…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 Michael Ridley , Michael A. Sentef , Riku Tuovinen

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 observation of quantum conductance oscillations in mesoscopic systems has traditionally required the confinement of the carriers to a phase space of reduced dimensionality. While electron optics such as lensing and focusing have been…

Mesoscale and Nanoscale Physics · Physics 2009-03-20 Andrea F. Young , Philip Kim

A massive quantum particle on a two-dimensional curved surface experiences a surface-geometry induced attractive potential that is characterized by the radii of curvature at a given point. With bilayer graphene sheets and carbon…

Other Condensed Matter · Physics 2009-10-07 Yogesh N. Joglekar , Avadh Saxena

We theoretically demonstrate that an external magnetic field can be used to control quantum reflection of matter waves in graphene due to its extraordinary magneto-optical properties. We calculate the quantum reflection probabilities in…

Quantum Physics · Physics 2019-09-06 Marcius Silvestre , Tarik P. Cysne , Daniela Szilard , Felipe A. Pinheiro , Carlos Farina

An Atomic Force Microscope is used to locally manipulate a single layer graphene sheet. Transport measurements in this region as well as in the unmanipulated part reveal different charge carrier densities while mobilities stay in the order…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 H. Schmidt , J. C. Rode , C. Belke , D. Smirnov , R. J. Haug

Moir\'e materials represent strongly interacting electron systems bridging topological and correlated physics. Despite significant advances, decoding wavefunction properties underlying the quantum geometry remains challenging. Here, we…

We present a compact physics-based model of the current-voltage characteristics of graphene field-effect transistors, of especial interest for analog and radio-frequency applications where bandgap engineering of graphene could be not…

Mesoscale and Nanoscale Physics · Physics 2011-10-27 David Jimenez , Oana Moldovan

1-loop quantum corrections are shown to induce large effects on the refraction index $n$ inside a graphene strip in the presence of an external magnetic field $B$ orthogonal to it. To this purpose, we use the tools of Quantum Field Theory…

High Energy Physics - Phenomenology · Physics 2014-10-27 Olivier Coquand , Bruno Machet

Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective on the relation between condensed matter and high-energy physics. We discuss atomic collapse, a novel state of superheavy atoms stripped of…

Mesoscale and Nanoscale Physics · Physics 2009-05-30 Andrei Shytov , Mark Rudner , Nan Gu , Mikhail Katsnelson , Leonid Levitov

We present a theoretical description of Bernstein modes that arise as a result of the coupling between plasmon-like collective excitations (upper-hybrid mode) and inter-Landau-level excitations, in graphene in a perpendicular magnetic…

Mesoscale and Nanoscale Physics · Physics 2011-05-24 R. Roldan , M. O. Goerbig , J. -N. Fuchs

We study photodetection in graphene near a local electrostatic gate, which enables active control of the potential landscape and carrier polarity. We find that a strong photoresponse only appears when and where a p-n junction is formed,…

Mesoscale and Nanoscale Physics · Physics 2011-12-30 M. C. Lemme , F. H. L. Koppens , A. L. Falk , M. S. Rudner , H. Park , L. S. Levitov , C. M. Marcus

We investigate the conductance of an undoped graphene sheet with two metallic contacts and an electrostatically gated island (quantum dot) between the contacts. Our analysis is based on the Matrix Green Function formalism, which was…

Mesoscale and Nanoscale Physics · Physics 2011-10-05 Martin Schneider , Piet W. Brouwer

The interaction between doped graphene nanoislands connected by narrow junctions constitutes an ideal testbed to probe quantum effects in plasmonic systems. Here, the interaction between graphene plasmons in neighboring nanoislands is…

Mesoscale and Nanoscale Physics · Physics 2013-03-11 Sukosin Thongrattanasiri , Alejandro Manjavacas , Peter Nordlander , F. Javier Garcia de Abajo