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Electronic structure of graphene monolayer-bilayer junction in a magnetic field is studied within an effective-mass approximation. The energy spectrum is characterized by interface Landau levels, i.e., the locally flat bands appearing near…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Mikito Koshino , Takeshi Nakanishi , Tsuneya Ando

We measure the quantum capacitance and probe thus directly the electronic density of states of the high mobility, Dirac type of two-dimensional electron system, which forms on the surface of strained HgTe. Here we show that observed…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 D. A. Kozlov , D. Bauer , J. Ziegler , R. Fischer , M. L. Savchenko , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , D. Weiss

Using many-body diagrammatic perturbation theory we consider carrier density- and substrate-dependent many-body renormalization of doped or gated graphene induced by Coulombic electron-electron interaction effects. We quantitatively…

Mesoscale and Nanoscale Physics · Physics 2013-02-11 S. Das Sarma , E. H. Hwang

The present work discusses theoretical models which address the effects of electron--electron interactions and disorder in graphene planes. The starting point for the study is a simple tight-binding model for the electronic structure…

Strongly Correlated Electrons · Physics 2007-05-23 Francisco Guinea , M. Pilar Lopez-Sancho , Maria A. H. Vozmediano

Consequences of an exceedingly strong electric field (E field) on the ground state energetics and transport properties of a 2D spinless electron gas in a perpendicular magnetic field (a Quantum Hall Effect (QHE) configuration) are…

Mesoscale and Nanoscale Physics · Physics 2016-09-01 Georgios Konstantinou , Konstantinos Moulopoulos

We show that graphene in a strong magnetic field with partially filled Landau levels sustains charged collective excitations, which are bound states of three-particle complexes. Some of these states are optically bright and may be detected…

Mesoscale and Nanoscale Physics · Physics 2010-12-06 Andrea M. Fischer , Rudolf A. Römer , Alexander B. Dzyubenko

We demonstrate that in the presence of Coulomb interactions, electrons in graphene behave like a critical system, supporting power law correlations with interaction-dependent exponents. An asymptotic analysis shows that the origin of this…

Strongly Correlated Electrons · Physics 2010-05-04 Jianhui Wang , H. A. Fertig , Ganpathy Murthy

Bilayer graphene has attracted considerable interest due to the important role played by many-body effects, particularly at low energies. Here we report local compressibility measurements of a suspended graphene bilayer. We find that the…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Jens Martin , Benjamin E. Feldman , R. Thomas Weitz , Monica T. Allen , Amir Yacoby

We study electronic properties of graphene with finite concentration of vacancies or other resonant scatterers by a straightforward lattice Quantum Monte Carlo calculations. Taking into account realistic long-range Coulomb interaction we…

Strongly Correlated Electrons · Physics 2015-06-24 M. V. Ulybyshev , M. I. Katsnelson

A parabolic quantum dot (QD) as realized by biasing nanostructured gates on bilayer graphene is investigated in the presence of electron-electron interaction. The energy spectrum and the phase diagram reveal unexpected transitions as…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 M. Zarenia , B. Partoens , T. Chakraborty , F. M. Peeters

We present measurements of the electronic compressibility, $K$, of bilayer graphene in both zero and finite magnetic fields up to 14 T, and as a function of both the carrier density and electric field perpendicular to the graphene sheet.…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 E. A. Henriksen , J. P. Eisenstein

We investigate integer and half-integer filling states (uniform and unidimensional stripe states respectively) for graphene using the Hartree-Fock approximation. For fixed filling factor, the ratio between the scales of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Jianhui Wang , A. Iyengar , H. A. Fertig , L. Brey

Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling…

Other Condensed Matter · Physics 2009-11-13 Eun-Ah Kim , A. H. Castro Neto

A quantum mechanical model of two interacting electrons in graphene is considered. We concentrate on the case of zero total momentum of the pair. We show that the dynamics of the system is very unusual. Both stationary and time-dependent…

Strongly Correlated Electrons · Physics 2013-09-18 R. N. Lee , A. I. Milstein , I. S. Terekhov

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

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

In two-dimensional (2D) electron systems in a magnetic field, the Coulomb interaction among charge carriers, under Landau quantization, essentially governs a variety of many-body phenomena while there are also phenomena, such as the…

Mesoscale and Nanoscale Physics · Physics 2019-08-01 K. Shizuya

We study theoretically the effects of short-range electron-electron interactions on the electronic structure of graphene, in the presence of single substitutional impurities. Our computational approach is based on the $\pi$ orbital…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 Faluke Aikebaier , Anna Pertsova , Carlo M. Canali

We investigate the electrostatic confinement of charge carriers in a gapped graphene quantum dot in the presence of a magnetic flux. The circular quantum dot is defined by an electrostatic gate potential delimited in an infinite graphene…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Ahmed Bouhlal , Abdelhadi Belouad , Ahmed Jellal , Hocine Bahlouli

The Landau-Fermi liquid picture for quasiparticles assumes that charge carriers are dressed by many-body interactions, forming one of the fundamental theories of solids. Whether this picture still holds for a semimetal like graphene at the…

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