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We report a change of three orders of magnitudes in the resistance of a suspended bilayer graphene flake which varies from a few k$\Omega$s in the high carrier density regime to several M$\Omega$s around the charge neutrality point (CNP).…

Mesoscale and Nanoscale Physics · Physics 2012-04-24 A. Veligura , H. J. van Elferen , N. Tombros , J. C. Maan , U. Zeitler , B. J. van Wees

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

We study quasi-particle transmission through an $n $-$p$ junction in a graphene irradiated by an electromagnetic field (EF). In the absence of EF the electronic spectrum of undoped graphene is gapless, and one may expect the perfect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. V. Fistul , K. B. Efetov

Spin splitting of the energy spectrum of single-layer graphene on Au/Ni(111) substrate has been recently reported. I show that eigenstates of spin-orbit coupled graphene are polarized in-plane and perpendicular to electron momentum $\bf k$;…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Emmanuel I. Rashba

We theoretically investigate the spectrum of a single electron double quantum dot, defined by top gates in a graphene with a substrate induced gap. We examine the effects of electric and magnetic fields on the spectrum of localized states,…

Mesoscale and Nanoscale Physics · Physics 2014-02-20 Martin Raith , Christian Ertler , Peter Stano , Michael Wimmer , Jaroslav Fabian

We present transport measurements through an electrostatically defined bilayer graphene double quantum dot in the single electron regime. With the help of a back gate, two split gates and two finger gates we are able to control the number…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Luca Banszerus , Samuel Möller , Eike Icking , Kenji Watanabe , Takashi Taniguchi , Christian Volk , Christoph Stampfer

We study the influence of the quantum geometry on the magnetic responses of quadratic band crossing semimetals. More explicitly, we examine the Landau levels, quantum Hall effect, and magnetic susceptibility of a general two-band…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Chang-geun Oh , Jun-Won Rhim , Bohm-Jung Yang

The interplay between a magnetic field and the Coulomb potential from a charged vacancy on the electron states in graphene is investigated within the tight-binding model. The Coulomb potential removes locally Landau level degeneracy, while…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Jing Wang , Wen-Sheng Zhao , Yue Hu , R. N. Costa Filho , Francois M. Peeters

We demonstrate theoretically that quantum dots in bilayers of graphene can be realized. A position-dependent doping breaks the equivalence between the upper and lower layer and lifts the degeneracy of the positive and negative momentum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Milton Pereira , P. Vasilopoulos , F. M. Peeters

Graphene quantum dots (GQDs) can exhibit a range of spectacular phenomena such as the Klein-tunneling-induced quasibound states1-6 and Berry-phase-tuned energy spectra7-15. According to previous studies, all these interesting quantum…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Hui-Ying Ren , Ya-Ning Ren , Qi Zheng , Jia-Qi He , Lin He

Coupled electron-hole states are realized in a system consisting of a combination of an electrostatic potential barrier and ring-shaped potential well, which resembles a circular dipole. A perpendicular magnetic field induces confined…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 R. Van Pottelberge , F. M. Peeters

We present a theoretical study of gap opening in the zeroth Landau level in gapped graphene as a result of pseudo-Zeeman interaction. The applied magnetic field couples with the valley pseudospin degree of freedom of the charge carriers…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Tahir , K. Sabeeh

Electronic states and transport phenomena in semiconductor quantum dots are studied theoretically. Taking account of the electron-electron Coulomb interaction by the exact diagonalization method, the ground state and low-lying excited…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto

The edge states which were observed on a linear edge of graphene may also persist on a curved edge. We calculate the elastic transport scattering cross section on a graphene nanohole supporting the edge states. Resonant peaks in the gate…

Mesoscale and Nanoscale Physics · Physics 2015-11-16 I. V. Zagorodnev , Zh. A. Devizorova , V. V. Enaldiev

Locally-gated single-layer graphene sheets have unusual discrete energy states inside the potential barrier induced by a finite-width gate. These states are localized outside the Dirac cone of continuum states and are responsible for novel…

Mesoscale and Nanoscale Physics · Physics 2009-03-03 V. A. Yampol'skii , S. S. Apostolov , Z. A. Maizelis , Alex Levchenko , Franco Nori

We present a microscopic theory for interacting graphene armchair nanoribbon quantum dots. Long range interaction processes are responsible for Coulomb blockade and spin-charge separation. Short range ones, arising from the underlying…

Mesoscale and Nanoscale Physics · Physics 2010-03-23 Sonja Koller , Leonhard Mayrhofer , Milena Grifoni

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

The fractional quantum Hall effect is a very particular manifestation of electronic correlations in two-dimensional systems in a strong perpendicular magnetic field. It arises as a consequence of a strong Coulomb repulsion between electrons…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Mark O. Goerbig

We study the spectrum and the transport properties of two identical, vertically coupled quantum dots in a perpendicular magnetic field. We find correlation-induced energy crossings in a magnetic field sweep between states differing only in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bernhard Wunsch , David Jacob , Daniela Pfannkuche

We study the collective modes of the quantum Hall states in undoped bilayer graphene in a strong perpendicular magnetic and electric field. Both for the well-known ferromagnetic state that is relevant for small electric field $E_\perp$ and…

Strongly Correlated Electrons · Physics 2011-05-04 Csaba Toke , Vladimir I. Fal'ko
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