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The p-n junctions dynamics in graphene channel induced by stripe domains nucleation, motion and reversal in a ferroelectric substrate is explored using self-consistent approach based on Landau-Ginzburg-Devonshire phenomenology combined with…

Recent experiments on the role of electron-electron interactions in fractal Dirac systems have revealed a host of interesting effects, in particular, the unique nature of the magnetic field dependence of butterfly gaps in graphene. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Arag Ghazaryan , Tapash Chakraborty

We study quantum transport of an interacting Bose-Einstein condensate in a two-dimensional disorder potential. In the limit of vanishing atom-atom interaction, a sharp cone in the angle-resolved density of the scattered matter wave is…

Other Condensed Matter · Physics 2009-11-13 Michael Hartung , Thomas Wellens , Cord A. Mueller , Klaus Richter , Peter Schlagheck

The effect of electronic interactions in graphene with vacancies or resonant scatterers is investigated. We apply dynamical mean-field theory in combination with quantum Monte Carlo simulations, which allow us to treat non-perturbatively…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 P. Haase , S. Fuchs , T. Pruschke , H. Ochoa , F. Guinea

Quantum oscillations in graphene is discussed. The effect of interactions are addressed by Kohn's theorem regarding de Haas-van Alphen oscillations, which states that electron-electron interactions cannot affect the oscillation frequencies…

Mesoscale and Nanoscale Physics · Physics 2008-12-06 Pallab Goswami , Xun Jia , Sudip Chakravarty

A back action from Dirac electrons in graphene on the hybridization of radiative and evanescent fields is found as an analogy to Newton's third law. Here, the back action appears as a localized polarization field which greatly modifies an…

Mesoscale and Nanoscale Physics · Physics 2017-08-30 Andrii Iurov , Danhong Huang , Godfrey Gumbs , Wei Pan , A. A. Maradudin

We systematically investigate the transmission of charge carriers across the grain-boundary defects in polycrystalline graphene by means of the Landauer-B\"uttiker formalism within the tight-binding approximation. Calculations reveal a…

Mesoscale and Nanoscale Physics · Physics 2014-06-05 Fernando Gargiulo , Oleg V. Yazyev

Monolayer graphene with an energy gap presents a pseudospin symmetry broken ferromagnet with a perpendicular pseudomagnetization whose direction is switched by altering the type of doping between n and p. We demonstrate an electrical…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Leyla Majidi , Malek Zareyan

We report on quantum-interference measurements in top-gated Hall bars of monolayer graphene epitaxially grown on the Si face of SiC, in which the transition from negative to positive magnetoresistance was achieved varying temperature and…

Mesoscale and Nanoscale Physics · Physics 2013-12-06 Andrea Iagallo , Shinichi Tanabe , Stefano Roddaro , Makoto Takamura , Hiroki Hibino , Stefan Heun

Effects of the backward scattering with large momentum transfer are examined in two-dimensional electron system with a special emphasis on electrons around ($\pi$,0), (0,$\pi$). The phase diagram is shown in the plane of temperature $T$ and…

Strongly Correlated Electrons · Physics 2009-10-30 Masakazu Murakami , Hidetoshi Fukuyama

We investigate thermoelectric transport in monolayer graphene across a finite complex barrier within a Landauer scattering framework. Solving the Dirac-Weyl problem exactly, we show that the imaginary part of the barrier renders the…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Daniel A. Bonilla , Juan A. Cañas , J. C. Pérez-Pedraza , A. Martín-Ruiz

We demonstrate that hexagonal graphene nanoflakes with zigzag edges display quantum interference (QI) patterns analogous to benzene molecular junctions. In contrast with graphene sheets, these nanoflakes also host magnetism. The cooperative…

Strongly Correlated Electrons · Physics 2019-02-26 Angelo Valli , Adriano Amaricci , Valentina Brosco , Massimo Capone

We present a formal derivation of a drift-diffusion model for stationary electron transport in graphene, in presence of sharp potential profiles, such as barriers and steps. Assuming the electric potential to have steep variations within a…

Mathematical Physics · Physics 2020-06-02 Luigi Barletti , Claudia Negulescu

A p-n junction, induced in graphene by gating, works to contrast the edge states of electrons and holes on each side of it. In a magnetic field those edge states carry two species of persistent current, which are intimately tied to the…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 K. Shizuya

We study the tunneling effect of Dirac fermions in a graphene sheet by introducing a potential barrier in a region of width $D$ exposed to laser field. This sheet is placed on a boron nitride/ferromagnetic substrate such as cobalt or…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Rachid El Aitouni , Ahmed Jellal , Pablo Díaz , David Laroze

Manipulating electron quantum 1D channels is an important element in the field of quantum information due to their ballistic and phase coherence properties. In GaAs and graphene based two dimensional gas systems, these edge channels have…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Won Beom Choi , Myungjin Jeon , K. Watanabe , T. Taniguchi , Joonho Jang

Andreev reflection at a superconductor and Klein tunneling through an n-p junction in graphene are two processes that couple electrons to holes -- the former through the superconducting pair potential Delta and the latter through the…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 C. W. J. Beenakker , A. R. Akhmerov , P. Recher , J. Tworzydlo

We model the low energy dynamics of graphene in the continuum in terms of a version of Reduced Quantum Electrodynamics restricting fermions to a (2+1)-dimensional brane, whilst photons remain within the (3+1)-dimensional bulk. For charge…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Saúl Hernández-Ortiz , David Valenzuela , Alfredo Raya , Saúl Sánchez-Madrigal

Transmission of low-energetic electrons through two-dimensional materials leads to unique scattering resonances. These resonances contribute to photoemission from occupied bands where they appear as strongly dispersive features of…

Materials Science · Physics 2017-11-22 M. Krivenkov , D. Marchenko , J. Sánchez-Barriga , O. Rader , A. Varykhalov

A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Paula Fekete , Liubov Zhemchuzhna