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Related papers: Coulomb screening in graphene with topological def…

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The supercritical instability in a system of two identical charged impurities in gapped graphene described in the continuous limit by the two-dimensional Dirac equation has been studied. The case where the charge of each impurity is…

Strongly Correlated Electrons · Physics 2017-07-27 Oleksandr Sobol

In graphene, charged defects break the electron-hole symmetry and can even give rise to exotic collapse states when the defect charge exceeds a critical value which is proportional to the Fermi velocity. In this work, we investigate the…

The Kondo effect in the system consisting of a magnetic adatom on the graphene is studied. By using the non-equilibrium Green function method with the slave-boson mean field approximation, the local density of state (LDOS) and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Huai-Bin Zhuang , Qing-feng Sun , X. C. Xie

Coulomb impurity of charge $Ze$ is known to destabilize the ground state of undoped graphene with respect to creation of screening space charge if $Z$ exceeds a critical value of $1/2\alpha$ set by material's fine structure constant…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Eugene B. Kolomeisky , Joseph P. Straley

The ground-state and the transport properties of graphene subject to the potential of in-plane charged impurities are studied. The screening of the impurity potential is shown to be nonlinear, producing a fractal structure of electron and…

Mesoscale and Nanoscale Physics · Physics 2009-12-02 M. M. Fogler

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

We study the electronic contribution to the main thermoelectric properties of a molecular junction consisting of a single quantum dot coupled to graphene external leads. The system electrical conductivity (G), Seebeck coefficient ($S$), and…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 S. T. Rodriguez , I. Grosu , M. Crisan , I. Tifrea

We show that the critical charge for the Dirac excitations in gapless graphene depends on the spatial topology of the sample. In particular, for graphene cones, the effective value of the critical charge can tend towards zero for a suitable…

Mesoscale and Nanoscale Physics · Physics 2011-07-26 Baishali Chakraborty , Kumar S. Gupta , Siddhartha Sen

We study both monolayer and bilayer graphene transport properties taking into account the presence of correlations in the spatial distribution of charged impurities. In particular we find that the experimentally observed sublinear scaling…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Qiuzi Li , E. H. Hwang , E. Rossi

We study the problem of Coulomb field-induced charging of the ground state in a system of 2D massive Dirac particles (gapped graphene). As in its 3D QED counterpart, the critical Coulomb coupling is renormalized to higher values, compared…

Mesoscale and Nanoscale Physics · Physics 2008-08-05 Vitor M. Pereira , Valeri N. Kotov , A. H. Castro Neto

We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-28 Igor F. Herbut , Vladimir Juricic , Oskar Vafek

We study Coulomb drag in double-layer graphene near the Dirac point. A particular emphasis is put on the case of clean graphene, with transport properties dominated by the electron-electron interaction. Using the quantum kinetic equation…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 M. Schütt , P. M. Ostrovsky , M. Titov , I. V. Gornyi , B. N. Narozhny , A. D. Mirlin

We theoretically predict that the motion of a polar crystalline layer between two graphene planes exerts Coulomb drag on electrons in graphene, inducing a DC drag current. The physical mechanism underlying this drag arises from intervalley…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 A. L. Chudnovskiy

The ability to control the strength of interaction is essential for studying quantum phenomena emerging from a system of correlated fermions. For example, the isotope effect illustrates the effect of electron-phonon coupling on…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Xiaoxue Liu , Zhi Wang , K. Watanabe , T. Taniguchi , Oskar Vafek , J. I. A. Li

We theoretically revisit graphene transport properties as a function of carrier density, taking into account possible correlations in the spatial distribution of the Coulomb impurity disorder in the environment. We find that the charged…

Mesoscale and Nanoscale Physics · Physics 2011-10-06 Qiuzi Li , E. H. Hwang , E. Rossi , S. Das Sarma

Few layers of graphene at small twist-angles have emerged as a fascinating platform for studying the problem of strong interactions in regimes with a nearly quenched single-particle kinetic energy and non-trivial band topology. Starting…

Strongly Correlated Electrons · Physics 2024-11-06 J. F. Mendez-Valderrama , Dan Mao , Debanjan Chowdhury

We study the infrared conductivity of graphene at finite chemical potential and temperature taking into account the effect of phonons and disorder due to charged impurities and unitary scatterers. The screening of the long-range Coulomb…

Mesoscale and Nanoscale Physics · Physics 2008-10-16 N. M. R. Peres , T. Stauber , A. H. Castro Neto

We present electron transport measurements on lithographically defined and etched graphene nanoconstrictions with different aspect ratios including different lengths (L) and widths (W). A roughly length-independent disorder induced…

Mesoscale and Nanoscale Physics · Physics 2011-04-13 B. Terrés , J. Dauber , C. Volk , S. Trellenkamp , U. Wichmann , C. Stampfer

Quantum dots connected to larger systems containing a continuum of states like charge reservoirs allow the theoretical study of many-body effects such as the Coulomb blockade and the Kondo effect. Here, we analyze the nonequilibrium Kondo…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 Levente Máthé , Ioan Grosu

The Coulomb impurity problem of graphene, in the absence of a magnetic field, displays discrete scale invariance. Applying a magnetic field introduces a new magnetic length scale $\ell$ and breaks discrete scale invariance. Moreover, a…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Hoang-Anh Le , S. -R. Eric Yang