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Quasiparticle interference has been used frequently for the purpose of unraveling the electronic states in the vicinity of the Fermi level as well as the nature of superconducting gap in the unconventional superconductors. Using the…

Superconductivity · Physics 2025-03-04 Garima Goyal , Dheeraj Kumar Singh

In this paper, we numerically study a Coulomb impurity problem for interacting Dirac fermions restricted in disordered graphene quantum dots. In the presence of randomly distributed lattice defects and spatial potential fluctuations, the…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Mustafa Polat , A. D. Güçlü

Using the tight-binding model with long-range Coulomb interactions between electrons, we study some of the electronic properties of graphene. The Coulomb interactions are treated with the renormalized-ring-diagram approximation. By…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

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

The strong Coulomb interaction between massless Dirac fermions can drive a semimetal-insulator transition in single-layer graphene by dynamically generating an excitonic fermion gap. There is a critical interaction strength $\lambda_c$ that…

Strongly Correlated Electrons · Physics 2015-03-13 Wei Li , Guo-Zhu Liu

Many-body effects on quantum capacitance, compressibility, renormalized Fermi velocity, kinetic and interaction energies of massless Dirac electrons in graphene, induced by the Coulomb interactions, are analyzed theoretically in the…

Mesoscale and Nanoscale Physics · Physics 2015-02-24 Yu. E. Lozovik , A. A. Sokolik , A. D. Zabolotskiy

We analyze the inelastic electron-electron scattering in undoped graphene within the Keldysh diagrammatic approach. We demonstrate that finite temperature strongly affects the screening properties of graphene, which, in turn, influences the…

Strongly Correlated Electrons · Physics 2011-06-27 M. Schuett , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Frequency dependent conductivity of Coulomb interacting massless Dirac fermions coupled to random scalar and random vector potentials is found as a function of frequency in the regime controlled by a line of fixed points. Such model…

Disordered Systems and Neural Networks · Physics 2008-10-22 Oskar Vafek

First-principles density functional calculations for graphene and defected graphene are used to examine when the quasi-2D electrons near the Fermi energy in graphene could be represented by massless fermions obeying a Dirac-Weyl (DW)…

Strongly Correlated Electrons · Physics 2007-11-06 M. W. C. Dharma-wardana

We study the presence of ferromagnetism in the phase diagram of the two-dimensional honeycomb lattice close to half-filling (graphene) as a function of the strength of the Coulomb interaction and doping. We show that exchange interactions…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

We consider a screened Coulomb interaction between electrons in graphene and determine their dynamic response functions, such as a longitudinal and a transverse electric conductivity and a polarization function and compare them to the…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 M. Agarwal , E. G. Mishchenko

The electronic properties of graphene can be manipulated via mechanical deformations, which opens prospects for studying the Dirac fermions in new regimes and for new device applications. Certain natural configurations of strain generate…

Mesoscale and Nanoscale Physics · Physics 2012-08-10 D. A. Abanin , D. A. Pesin

We give a brief summary of the current status of the electron many-body problem in graphene. We claim that graphene has intrinsic dielectric properties which should dress the interactions among the quasiparticles, and may explain why the…

Strongly Correlated Electrons · Physics 2012-06-07 Bruno Uchoa , James P. Reed , Yu Gan , Young Il Joe , Diego Casa , Eduardo Fradkin , Peter Abbamonte

We analyze by exact Renormalization Group (RG) methods the infrared properties of an effective model of graphene, in which two-dimensional massless Dirac fermions propagating with a velocity smaller than the speed of light interact with a…

Strongly Correlated Electrons · Physics 2011-01-25 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

We study the collective charge-density modes (plasmons) of two-dimensional nonsymmorphic Dirac semimetals, within the random-phase approximation (RPA) in presence of Coulomb interaction. Without loss of generality, we consider a system in a…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Debasmita Giri , Arijit Kundu

In the presence of axial magnetic fields that can be realized in deliberately buckled monolayer graphene, quasi-relativistic Dirac fermions may find themselves in a variety of broken symmetry phases even for weak interactions. Through a…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Bitan Roy , Jay D. Sau

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

We develop an Effective Medium Theory to study the electrical transport properties of disordered graphene. The theory includes non-linear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths…

Mesoscale and Nanoscale Physics · Physics 2009-06-20 Enrico Rossi , S. Adam , S. Das Sarma

The gap equation for Dirac quasiparticles in monolayer graphene in constant magnetic and pseudomagnetic fields, where the latter is due to strain, is studied in a low-energy effective model with contact interactions. Analyzing solutions of…

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

Low-energy electronic structure of (unbiased) bilayer graphene is made of two Fermi points with quadratic dispersions, if trigonal-warping and other high order contributions are ignored. We show that as a result of this qualitative…

Strongly Correlated Electrons · Physics 2010-01-04 Oskar Vafek , Kun Yang