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We investigate the effects of long-ranged Coulomb interactions in a tilted Dirac semimetal in two dimensions by using the perturbative renormalization-group method. Depending on the magnitude of the tilting parameter, the undoped system can…

Strongly Correlated Electrons · Physics 2018-01-24 Yu-Wen Lee , Yu-Li Lee

We derive the renormalization group equations describing all the short-range interactions in bilayer graphene allowed by symmetry and the long range Coulomb interaction. For certain range of parameters, we predict the first order phase…

Strongly Correlated Electrons · Physics 2013-12-19 Y. Lemonik , I. L. Aleiner , C. Toke , V. I. Fal'ko

We have investigated transport through graphene Andreev interferometers exhibiting reentrance of the superconducting proximity effect. We observed a crossover in the Andreev conductance oscillations as a function of gate voltage ($V_{BG}$).…

Mesoscale and Nanoscale Physics · Physics 2013-04-25 Fabio Deon , Sandra Šopić , Alberto F. Morpurgo

In nodal-line semimetals, Coulomb interactions and short-range correlated disorder are both marginal perturbations to the clean non-interacting Hamiltonian. We analyze their interplay using a weak-coupling renormalization group approach. In…

Strongly Correlated Electrons · Physics 2017-09-28 Yuxuan Wang , Rahul M. Nandkishore

We provide detailed calculation of the a.c. conductivity in the case of 1/r-Coulomb interacting massless Dirac particles in graphene in the collisionless limit when \omega >> T. The analysis of the electron self-energy, current vertex…

Mesoscale and Nanoscale Physics · Physics 2010-12-23 Vladimir Juricic , Oskar Vafek , Igor F. Herbut

We calculate the density-density response function and electron self-energy for undoped bilayer graphene, within the Random Phase Approximation (RPA). We show that the quasiparticle decay rate scales linearly with the quasiparticle energy,…

Mesoscale and Nanoscale Physics · Physics 2009-10-23 Yafis Barlas , Kun Yang

Many-body perturbation theory at the $G_0W_0$ level is employed to study the electronic properties of poly(\emph{para}-phenylene) (PPP) on graphene. Analysis of the charge density and the electrostatic potential shows that the…

Materials Science · Physics 2012-08-17 Peter Puschnig , Peiman Amiri , Claudia Draxl

We consider hot carrier inelastic scattering due to electron--electron interactions in graphene, as functions of carrier energy and density. We calculate the imaginary part of the zero-temperature quasiparticle self-energy for doped…

Mesoscale and Nanoscale Physics · Physics 2007-12-03 E. H. Hwang , Ben Yu-Kuang Hu , S. Das Sarma

Coulomb interaction might have important effects on the physical observables in topological semimetals with vanishing density of states at the band touching due to the weak screening. In this work, we show that Kohn's theorem is not…

Strongly Correlated Electrons · Physics 2020-05-06 Daniel Muñoz-Segovia , Alberto Cortijo

This paper is devoted to development of perturbation theory for studying the properties of graphene sheet of finite size, at nonzero temperature and chemical potential. The perturbation theory is based on the tight-binding Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-12-16 N. Yu. Astrakhantsev , V. V. Braguta , M. I. Katsnelson

We study the Coulomb interactions in fullerene molecules within a continuum formalism. The model gives rise to a renormalizable field theory, which has many similarities to standard quantum electrodynamics. The effective electric charge at…

Condensed Matter · Physics 2007-05-23 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We theoretically study the electromagnetic interaction in Dirac systems with $N$ nodes by using the renormalization group, which is relevant to the quantum critical phenomena of topological phase transition ($N=1$) and Weyl semimetals…

Strongly Correlated Electrons · Physics 2015-03-02 Hiroki Isobe , Naoto Nagaosa

We study the influence of spin-orbit interactions on quasiparticle dispersions in two-dimensional electron and heavy-hole liquids in III-V semiconductors. To obtain closed-form analytical results, we restrict ourselves to spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 D. Aasen , Stefano Chesi , W. A. Coish

The effects of substrate on electronic and optical properties of triangular and hexagonal graphene nanoflakes with armchair edges are investigated by using a configuration interaction approach beyond double excitation scheme. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 W. Sheng , M. Sun , A. Zhou , S. J. Xu

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 report studies of cyclotron resonance in monolayer graphene. Cyclotron resonance is detected using the photoconductive response of the sample for several different Landau level occupancies. The experiments measure an electron velocity at…

Mesoscale and Nanoscale Physics · Physics 2007-10-12 R. S. Deacon , K-C. Chuang , R. J. Nicholas , K. S. Novoselov , A. K. Geim

Intervalley charged-impurity scattering processes are examined. It is found that the scattering probability is enhanced due to the Coulomb interaction with the impurity by the Sommerfield factor $F_Z\propto \epsilon^{2\sqrt{1-4g^2}-2}$,…

Mesoscale and Nanoscale Physics · Physics 2014-12-30 L. S. Braginsky , M. V. Entin

The interaction potential V(Q^2) between static test charges can be used to define an effective charge $\alpha_V(Q^2)$ and a physically-based renormalization scheme for quantum chromodynamics and other gauge theories. In this paper we use…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Michael Melles , Johan Rathsman

We calculate $\partial\mu/\partial n$ in extrinsic graphene as a function of carrier density $n$ at zero temperature by obtaining the electronic self-energy within the Hartree-Fock approximation. The exchange-driven Dirac-point logarithmic…

Mesoscale and Nanoscale Physics · Physics 2007-12-03 E. H. Hwang , Ben Yu-Kuang Hu , S. Das Sarma

We calculate the shot noise power in ballistic graphene using the kinetic equation approach based on the Keldysh technique. We find that the local energy distribution function obeys Poisson's equation, indicating a mapping into a diffusive…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Anatoly Golub , Baruch Horovitz