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Pristine monolayer graphene exhibits very poor screening because the density of states vanishes at the Dirac point. As a result, charge relaxation is controlled by the effects of zero-point motion (rather than by the Coulomb interaction)…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Eugene B. Kolomeisky , Joseph P. Straley

We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are…

Strongly Correlated Electrons · Physics 2018-06-15 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

Atomically resolved imaging and spectroscopic characteristics of graphene grown by chemical vapor deposition (CVD) on copper are investigated by means of scanning tunneling microscopy and spectroscopy (STM/STS). For CVD-grown graphene…

Strongly Correlated Electrons · Physics 2012-01-27 N. -C. Yeh , M. L. Teague , S. Yeom , B. L. Standley , D. A. Boyd , M. W. Bockrath

Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system. We use the constrained random phase approximation to study the interaction parameters of such models taking into…

Strongly Correlated Electrons · Physics 2020-08-05 Tuomas I. Vanhala , Lode Pollet

We study the effects of disorder on bilayer graphene using four different microscopic models and directly compare their results. We compute the self-energy, density of states, and optical conductivity in the presence of short-ranged…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 D. S. L. Abergel , Hongki Min , E. H. Hwang , S. Das Sarma

Idealized graphene monolayer is considered neglecting the van der Waals potential of the substrate and the role of the nonmagnetic impurities. The effect of the long-range Coulomb repulsion in an ensemble of Dirac fermions on the formation…

Superconductivity · Physics 2015-06-23 M. Yu. Kagan , V. V. Val'kov , V. A. Mitskan , M. M. Korovushkin

Graphene nanodisk is a graphene derivative with a closed edge. The trigonal zigzag nanodisk with size $N$ has $N$-fold degenerated zero-energy states. We investigate electron-electron interaction effects in the zero-energy sector. We…

Strongly Correlated Electrons · Physics 2008-04-10 Motohiko Ezawa

Using a novel structure, consisting of two, independently contacted graphene single layers separated by an ultra-thin dielectric, we experimentally measure the Coulomb drag of massless fermions in graphene. At temperatures higher than 50 K,…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Seyoung Kim , Insun Jo , Junghyo Nah , Z. Yao , S. K. Banerjee , E. Tutuc

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

When an atomic-size break junction is mechanically stretched, the total conductance of the contact remains approximately constant over a wide range of elongations, although at the same time the transmissions of the individual channels…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 S. Kirchner , J. Kroha , E. Scheer

The effect of Coulomb interaction in an ensemble of Dirac fermions on the formation of superconducting pairing in monolayer and bilayer doped graphene is studied using the Kohn-Luttinger mechanism disregarding the Van der Waals potential of…

Superconductivity · Physics 2015-01-19 M. Yu. Kagan , V. A. Mitskan , M. M. Korovushkin

We give an update of the situation concerning the effect of electron-electron interactions on the physics of a neutral graphene system at low energies. We revise old renormalization group results and the use of 1/N expansion to address…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Maria A. H. Vozmediano , Francisco Guinea

Based on ab-initio calculations we identify possible scenarios for the Kondo effect due to Co ad-atoms on graphene. General symmetry arguments show that for magnetic atoms in high-symmetry positions, the Kondo effect in graphene is…

Strongly Correlated Electrons · Physics 2010-03-22 T. O. Wehling , A. V. Balatsky , M. I. Katsnelson , A. I. Lichtenstein , A. Rosch

We investigate the density and temperature-dependent conductance of graphene nanoribbons with varying aspect ratio. Transport is dominated by a chain of quantum dots forming spontaneously due to disorder. Depending on ribbon length,…

Mesoscale and Nanoscale Physics · Physics 2011-10-11 S. Dröscher , H. Knowles , Y. Meir , K. Ensslin , T. Ihn

In this paper we analyze one-loop quantum effects of a scalar field induced by a composite topological defect consisting a cosmic string on a p-dimensional brane and a (m+1)-dimensional global monopole in the transverse extra dimensions.…

High Energy Physics - Theory · Physics 2008-11-26 E. R. Bezerra de Mello , A. A. Saharian

We investigate the quasi-bound states of a Coulomb impurity in graphene in the presence of a magnetic field. \ These states exhibit the dramatic and rather rare property of discrete scale invariance when the Coulomb potential is…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Hailong Li , Haiwen Liu , Robert Joynt , X. C. Xie

The quantum indeterminacy caused by non-commutativity of observables at different times sets a lower bound on the voltage noise power spectrum in any conducting material. This bound is calculated explicitly in the case of monolayer…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Kirill A. Kazakov

We present measurements on side gated graphene constrictions of different geometries. We characterize the transport gap by its width in back gate voltage and compare this to an analysis based on Coulomb blockade measurements of localized…

Mesoscale and Nanoscale Physics · Physics 2009-03-10 F. Molitor , A. Jacobsen , C. Stampfer , J. Guettinger , T. Ihn , K. Ensslin

We reveal a new type of supercritical behavior in gapped graphene with two oppositely charged impurities by studying the two-dimensional Dirac equation for quasiparticles with the Coulomb potential regularized at small distances accounting…

Strongly Correlated Electrons · Physics 2015-12-14 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

Recent experiments have revealed that superconductivity in rhombohedral tetralayer graphene can emerge from a valley-polarized and, hence, chiral normal state. The interplay of pairing and the reduced normal-state symmetries sparked…

Superconductivity · Physics 2025-08-21 Yinqi Chen , Mathias S. Scheurer , Constantin Schrade
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