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We theoretically investigate the effects of long-range disorder and electron-electron interactions on the optical properties of hexagonal armchair graphene quantum dots consisting of up to 10806 atoms. The numerical calculations are…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 A. Altıntaş , K. E. Çakmak , A. D. Güçlü

We theoretically calculate the interaction-induced frictional Coulomb drag resistivity between two graphene monolayers as well as between two graphene bilayers, which are spatially separated by a distance "$d$". We show that the drag…

Mesoscale and Nanoscale Physics · Physics 2011-12-23 E. H. Hwang , Rajdeep Sensarma , S. Das Sarma

The effects of intrinsic spin-orbit and Coulomb interactions on low-energy properties of finite width graphene armchair ribbons are studied by means of a Dirac Hamiltonian. It is shown that metallic states subsist in the presence of…

Strongly Correlated Electrons · Physics 2012-02-01 Mahdi Zarea , Nancy Sandler

The effect of Coulomb scattering on graphene conductivity in field effect transistor structures is discussed. Inter-particle scattering (electron-electron, hole-hole, and electron-hole) and scattering on charged defects are taken into…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Vyurkov , V. Ryzhii

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

We perform projective quantum Monte Carlo simulations of zigzag graphene nanoribbons within a realistic model with long-range Coulomb interactions. Increasing the relative strength of nonlocal interactions with respect to the on-site…

Strongly Correlated Electrons · Physics 2017-09-29 Marcin Raczkowski , Fakher F. Assaad

The interplay between disorder and superconductivity has intrigued physicists for decades. Of particular interest is the influence of disorder on the superconducting energy gap $\Delta$. In the absence of Coulomb interactions between…

We study the role of long-range electron-electron interactions in a system of two-dimensional anisotropic Dirac fermions, which naturally appear in uniaxially strained graphene, graphene in external potentials, some strongly anisotropic…

Strongly Correlated Electrons · Physics 2012-07-24 Anand Sharma , Valeri N. Kotov , Antonio H. Castro Neto

Since physics of the dark sector components of the Universe is not yet well-understood, the phenomenological studies of non-minimal interaction in the dark sector could possibly pave the way to theoretical and experimental progress in this…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-03 Suresh Kumar

In the present work, we consider the excitonic effects in the twisted bilayer graphene (tBLG) within the rotated bilayer Hubbard model. Both, intralayer and interlayer Coulomb interactions have been considered and the half-filling condition…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 V. Apinyan , T. K. Kopeć

We investigate effects of the filled Dirac sea on the $SU(4)$ symmetry breaking in the integer quantum Hall states of graphene with long-ranged Coulomb interactions. Our model also includes Hubbard and nearest neighbour repulsive…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Vinu Lukose , R. Shankar

We propose that recent transport experiments revealing the existence of an energy gap in graphene nanoribbons may be understood in terms of Coulomb blockade. Electron interactions play a decisive role at the quantum dots which form due to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Sols , F. Guinea , A. H. Castro Neto

In strong magnetic fields, massless electrons in graphene populate relativistic Landau levels with the square-root dependence of each level energy on its number and magnetic field. Interaction-induced deviations from this single-particle…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 A. A. Sokolik , A. D. Zabolotskiy , Yu. E. Lozovik

We consider a pair of identical fermions with a short-range attractive interaction on a finite lattice cluster in the presence of strong site disorder. This toy model imitates a low density regime of the strongly disordered Hubbard model.…

Disordered Systems and Neural Networks · Physics 2024-01-11 Lolita I. Knyazeva , Vladimir I. Yudson

We theoretically investigate Coulomb drag in a system of two parallel monolayers of graphene. Using a Boltzmann equation approach we study a variety of limits ranging from the non-degenerate interaction dominated limit close to charge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Jonathan Lux , Lars Fritz

We study excitonic pairing in nodal fermion systems characterized by a vanishing quasiparticle density of states at the pointlike Fermi surface and a concomitant lack of screening for long-range interactions. By solving the gap equation for…

Strongly Correlated Electrons · Physics 2009-11-11 D. V. Khveshchenko , W. F. Shively

We numerically study the interplay between superconductivity and disorder on the graphene honeycomb lattice with on-site Hubbard attractive interactions U using a spatially inhomogeneous self-consistent Bogoliubov-de Gennes (BdG) approach.…

Superconductivity · Physics 2014-09-30 Ionut-Dragos Potirniche , Joseph Maciejko , Rahul Nandkishore , S. L. Sondhi

The interplay of Coulomb repulsion and geometrical frustration on charge-driven quantum phase transitions is explored. The ground state phase diagram of an extended Hubbard model on an anisotropic triangular lattice relevant to…

Strongly Correlated Electrons · Physics 2011-10-27 L. Cano-Cortes , A. Ralko , C. Fevrier , J. Merino , S. Fratini

Motivated by recent graphene transport experiments, we have undertaken a numerical study of the conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal distinct differences between the cases of short-range and…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , A. H. MacDonald

We develop an ab initio framework that captures the impact of electron-electron and electron-hole interactions on phonon properties. This enables the inclusion of excitonic effects in the optical phonon dispersions and lifetimes of…

Materials Science · Physics 2025-06-17 Alberto Guandalini , Francesco Macheda , Giovanni Caldarelli , Francesco Mauri