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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 to…

High Energy Physics - Phenomenology · Physics 2014-07-09 Olivier Coquand , Bruno Machet

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

Silicene is a buckled monolayer of silicon. Its electronic properties are distinct from both the conventional two dimensional electron gas and the famous graphene due to strong spin orbit interaction and the buckled structure. Silicene has…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 M. Tahir , U. Schwingenschlogl

The wave nature of electrons in low-dimensional structures manifests itself in conventional electrical measurements as a quantum correction to the classical conductance. This correction comes from the interference of scattered electrons…

Mesoscale and Nanoscale Physics · Physics 2009-03-27 F. V. Tikhonenko , A. A. Kozikov , A. K. Savchenko , R. V. Gorbachev

Thermal ripples of graphene are well understood at room temperature, but their quantum counterparts at low temperatures are still in need of a realistic quantitative description. Here we present atomistic path-integral Monte Carlo…

Materials Science · Physics 2018-04-18 Juraj Hasik , Erio Tosatti , Roman Martonak

We report on a capacitance study of dual gated bilayer graphene. The measured capacitance allows us to probe the electronic compressibility as a function of carrier density, temperature, and applied perpendicular electrical displacement D.…

Mesoscale and Nanoscale Physics · Physics 2013-09-17 A. F. Young , C. R. Dean , I. Meric , S. Sorgenfrei , H. Ren , K. Watanabe , T. Taniguchi , J. Hone , K. L. Shepard , P. Kim

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

Graphene quantum dots are attractive candidates for solid-state quantum bits. In fact, the predicted weak spin-orbit and hyperfine interaction promise spin qubits with long coherence times. Graphene quantum dot devices have been extensively…

The equilibrium properties and interminiband transitions for Hartree-interacting two-dimensional electron gas in a one-dimensional chain of planar quantum rings subjected to a transverse homogeneous magnetic field are examined theoretically…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Armen Harutyunyan , Vram Mughnetsyan , Albert Kirakosyan , Vidar Gudmundsson

We investigate the local electron temperature distribution in carbon nano-ribbon (CNR) and graphene junctions subject to an applied thermal gradient. Using a realistic model of a scanning thermal microscope, we predict quantum temperature…

Mesoscale and Nanoscale Physics · Physics 2013-06-21 Justin P. Bergfield , Mark A. Ratner , Charles A. Stafford , Massimiliano Di Ventra

We employ a magnetocapacitance technique to study the spectrum of the soft two-subband (or double-layer) electron system in a parabolic quantum well with a narrow tunnel barrier in the centre. In this system unbalanced by gate depletion, at…

A systematic review is made for the AA-, AB- and ABC-stacked graphites. The generalized tight-binding model, accompanied with the effective-mass approximation and the Kubo formula, is developed to investigate electronic and optical…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Chiun-Yan Lin , Rong-Bin Chen , Yen-Hung Ho , Ming-Fa Lin

We derive semiclassical quantization equations for graphene mono- and bilayer systems where the excitations are confined by the applied inhomogeneous magnetic field. The importance of a semiclassical phase, a consequence of the spinor…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 A. Kormanyos , P. Rakyta , L. Oroszlany , J. Cserti

We theoretically analyze the energy spectrum of a quantum ring in AA-stacked bilayer graphene with radius $R$ for a zero width subjected to a perpendicular magnetic field $B$. An analytical approach, using the Dirac equation, is implemented…

Mesoscale and Nanoscale Physics · Physics 2016-10-31 Youness Zahidi , Abdelhadi Belouad , Ahmed Jellal

There is an increasing interest in the electronic properties of few layer graphene as it offers a platform to study electronic interactions because the dispersion of bands can be tuned with number and stacking of layers in combination with…

Twisted bilayer graphene offers a unique bilayer two-dimensional-electron system where the layer separation is only in sub-nanometer scale. Unlike Bernal-stacked bilayer, the layer degree of freedom is disentangled from spin and valley,…

This paper is aimed to review and promote the main applications of the methods of Quantum Field Theory to description of quantum effects in graphene. We formulate the effective electromagnetic action following from the Dirac model for the…

High Energy Physics - Theory · Physics 2016-12-22 Ignat V. Fialkovsky , Dmitri V. Vassilevich

Motivated by graphene-based quantum computer we examine the time-dependence of the position-momentum and position-velocity uncertainties in the monolayer gapped graphene. The effect of the energy gap to the uncertainties is shown to appear…

Quantum Physics · Physics 2012-03-21 Eylee Jung , Kwang S. Kim , DaeKil Park

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

Interband transitions of electrons in a gapped graphene monolayer are highly stimulated near the Fermi surface when a high-frequency electric wave of weak intensity and a strong constant electric field are superposed in the plane of the…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Selym Villalba-Chávez , Oliver Mathiak , Reinhold Egger , Carsten Müller