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We investigate the contribution of charge puddles to the non-vanishing conductivity minimum in disordered graphene flakes at the charge neutrality point. For that purpose, we study systems with a geometry that suppresses the transmission…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Leandro R. F. Lima , Caio H. Lewenkopf

Metal atoms on graphene, when ionized, can act as a point charge impurity to probe a charge response of graphene with the Dirac cone band structure. To understand the microscopic physics of the metal-atom-induced charge and spin…

Materials Science · Physics 2010-11-16 Jae-Hyeon Parq , Jaejun Yu , Young-Kyun Kwon , Gunn Kim

We study the electronic structure of gated graphene sheets. We consider both infinite graphene and finite width ribbons. The effect of Coulomb interactions between the electrically injected carriers and the coupling to the external gate are…

Mesoscale and Nanoscale Physics · Physics 2007-08-29 J. Fernandez-Rossier , J. J. Palacios , L. Brey

We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj , B. Jancovici

Charge carriers in a graphene sheet, a single layer of graphite, exhibit much distinctive characteristics to those in other two-dimensional electronic systems because of their chiral nature. In this report, we focus on the observation of…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Dong-Keun Ki , Dongchan Jeong , Jae-Hyun Choi , Kee-Su Park , Hu-Jong Lee

We investigate the density instabilities present in the infinite-U Hubbard-Holstein model both at zero and finite momenta as well as the occurrence of Cooper instabilities with a specific emphasis on the role of long-range Coulomb forces.…

Condensed Matter · Physics 2016-08-31 F. Becca , M. Tarquini , M. Grilli , C. Di Castro

We obtained numerical and closed-form analytic expressions for finite-temperature plasmon dispersion relations for intrinsic graphene in the presence of a finite energy gap in the energy spectrum. The calculations were carried out using the…

Mesoscale and Nanoscale Physics · Physics 2015-04-20 Andrii Iurov , Godfrey Gumbs , Danhong Huang , V. Silkin

This work analyses how impurities and vacancies on the surface of a graphene sample affect its optical conductivity and plasmon excitations. The disorder is analysed in the self-consistent Green's function formulation and nonlocal effects…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Giovanni Viola , Tobias Wenger , Jari Kinaret , Mikael Fogelström

We predict the existence of an intriguing "disorder by order" phenomenon in graphene transport where higher quality (and thus more ordered) samples, while having higher mobility at high carrier density, will manifest more strongly…

Mesoscale and Nanoscale Physics · Physics 2012-05-25 S. Das Sarma , E. H. Hwang , Qiuzi Li

Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from nanoscale physics, that dictates their stable…

Analysis of PDEs · Mathematics 2025-09-23 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

We study the combined effect of a conical topological defect and a Coulomb charge impurity on the dynamics of Dirac fermions in gapped graphene. Beyond a certain strength of the Coulomb charge, quantum instability sets in, which demarcates…

High Energy Physics - Theory · Physics 2015-06-05 Baishali Chakraborty , Kumar S. Gupta , Siddhartha Sen

We present a quantum analysis of the massless excitations in graphene with a charge impurity. When the effective charge exceeds a certain critical value, the spectrum is quantized and is unbounded from below. The corresponding eigenstates…

Mesoscale and Nanoscale Physics · Physics 2009-02-10 Kumar S. Gupta , Siddhartha Sen

We study Friedel oscillations in a two-dimensional non-interacting electron gas and in a monolayer graphene in the presence of a single impurity. The potential generated by the impurity is modeled using a non-Coulomb interaction ($\sim…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Levente Máthé , Ioan Grosu

We theoretically study the Coulomb drag in graphene when there is a temperature difference between the layers. Within the degenerate limit for equal layer densities, we find that this can lead to significant deviations from the usual…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Federico Escudero , Facundo Arreyes , Juan Sebastián Ardenghi

We analyze charging effects in graphene quantum dots. Using a simple model, we show that, when the Fermi level is far from the neutrality point, charging effects lead to a shift in the electrostatic potential and the dot shows standard…

Mesoscale and Nanoscale Physics · Physics 2008-02-06 B. Wunsch , T. Stauber , F. Guinea

We study the charge-density dynamics within the two-dimensional extended Hubbard model in the presence of long-range Coulomb interaction across the metal-insulator transition point. To take into account strong correlations we start from…

Strongly Correlated Electrons · Physics 2014-12-24 E. G. C. P. van Loon , H. Hafermann , A. I. Lichtenstein , A. N. Rubtsov , M. I. Katsnelson

We provide a theory for electronic transitions induced by ultrashort electromagnetic pulses in two-dimensional artificial relativistic atoms which are created by a charged impurity in a gapped graphene monolayer. Using a non-perturbative…

Mesoscale and Nanoscale Physics · Physics 2024-06-20 Saparboy Rakhmanov , Reinhold Egger , Davron Matrasulov

Effects of the nearest neighbor Coulomb interaction on nanographene ribbons with zigzag edges are investigated using the extended Hubbard model within the unrestricted Hartree-Fock approximation. The nearest Coulomb interaction stabilizes a…

Strongly Correlated Electrons · Physics 2007-05-23 Atsushi Yamashiro , Yukihiro Shimoi , Kikuo Harigaya , Katsunori Wakabayashi

We analyze the effect that the Coulomb interaction has on the edge excitations of an electron gas confined in a bar of thickness $W$, and in presence of a magnetic field corresponding to filling factor 1 Quantum Hall effect. We find that…

Condensed Matter · Physics 2009-10-28 M. Franco , L. Brey

Electron transport in a quantum wire with leads is investigated with actual Coulomb interaction taken into account. The latter includes both the direct interaction of electrons with each other and their interaction via the image charges…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , B. S. Shchamkhalova
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