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Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant. The…

Mesoscale and Nanoscale Physics · Physics 2009-02-25 E. G. Mishchenko

It is well known that there are resonant states with complex energy for the supercritical Coulomb impurity in graphene. We show that opening of a quasiparticle gap decreases the imaginary part of energy, |ImE|, of these states and…

Other Condensed Matter · Physics 2009-10-31 O. V. Gamayun , E. V. Gorbar , V. P. Gusynin

Generation of high harmonics in a monolayer graphene initiated by strong coherent radiation field, taking into account electron-electron Coulomb interaction is investigated. A microscopic theory describing the nonlinear optical response of…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 H. K. Avetissian , G. F. Mkrtchian

Using the adiabatic connection, we formulate the free energy in terms of the correlation function of a fictitious system, $h_{\lambda}({\bf r},{\bf r}')$, where $\lambda$ determines the interaction strength. To obtain $h_{\lambda}({\bf…

Statistical Mechanics · Physics 2016-06-15 Derek Frydel , Manman Ma

The interaction between two different materials can present novel phenomena that are quite different from the physical properties observed when each material stands alone. Strong electronic correlations, such as magnetism and…

We use a quantum-dynamical model to investigate the optical response of graphene under low excitation power. Ultrafast carrier relaxation processes, which play an important role for understanding the optical response of graphene, are…

Mesoscale and Nanoscale Physics · Physics 2011-06-27 Zheshen Zhang , Paul L. Voss

At a large displacement field, in rhomboedral and Bernal-stacked graphene a normal paramagnetic state transitions to a correlated state. Recent experiments showed that such systems have several phase transitions as a function of the carrier…

Mesoscale and Nanoscale Physics · Physics 2023-03-31 Igor V. Blinov , Chunli Huang , Nemin Wei , Qin Wei , Tobias Wolf , Allan H. MacDonald

Multi-point probability measures along with the dielectric function of Dirac Fermions in mono-layer graphene containing particle-particle and white-noise (out-plane) disorder interactions on an equal footing in the Thomas-Fermi-Dirac…

Statistical Mechanics · Physics 2018-02-06 M. N. Najafi

The present work discusses theoretical models which address the effects of electron--electron interactions and disorder in graphene planes. The starting point for the study is a simple tight-binding model for the electronic structure…

Strongly Correlated Electrons · Physics 2007-05-23 Francisco Guinea , M. Pilar Lopez-Sancho , Maria A. H. Vozmediano

We consider a model of spin-gapped chains weakly coupled by Josephson and Coulomb interactions. Combining such non-perturbative methods as bosonization and Bethe ansatz to treat the intra-chain interactions with the Random Phase…

Strongly Correlated Electrons · Physics 2009-11-07 Sam T. Carr , Alexei M. Tsvelik

We investigate the emergence of correlated electron phases in rhombohedral $N$-layer graphene due to two-valley Coulomb interactions within a low-energy $k \cdot p$ framework. Analytical expressions for Lindhard susceptibilities in intra-…

Strongly Correlated Electrons · Physics 2026-01-19 Arsen Herasymchuk , Sergei G. Sharapov , Oleg V. Yazyev , Yaroslav Zhumagulov

Undoped graphene (Gr) sheets at low temperatures are known, via Random Phase Approximation (RPA) calculations, to exhibit unusual van der Waals (vdW) forces. Here we show that graphene is the first known system where effects beyond the RPA…

Strongly Correlated Electrons · Physics 2014-06-03 John F. Dobson , Tim Gould , Giovanni Vignale

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

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

The response to an electric field (DC and AC) of electronic systems in which the Fermi "surface" consists of a number of 3D Weyl points (such as some pyrochlore iridates) exhibits a peculiar combination of characteristics usually associated…

Strongly Correlated Electrons · Physics 2015-06-15 B. Rosenstein , M. Lewkowicz

We consider the 2D Hubbard model on the honeycomb lattice, as a model for single layer graphene with screened Coulomb interactions; at half filling and weak coupling, we construct its ground state correlations by a convergent multiscale…

Strongly Correlated Electrons · Physics 2013-05-29 Alessandro Giuliani , Vieri Mastropietro

We investigate the dynamical breakdown of the chiral symmetry in the theory of Dirac fermions in graphene with long-range Coulomb interaction. We analyze the electron-hole vertex relevant for the dynamical gap generation in the ladder…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 J. Gonzalez

Understanding the interplay between screening, electronic correlations, and collective excitations is essential for the design of two-dimensional quantum materials. Here, we present a comprehensive first-principles study of more than 60…

Strongly Correlated Electrons · Physics 2025-10-07 F. Bagherpour , Y. Yekta , H. Hadipour , E. Sasioglu , A. Khademi , S. A. Jafari , I. Mertig , S. Lounis

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

We consider a system of two-dimensional electrons strongly localized by disorder. Interactions create a gap in the average tunneling density of states $\nu(E)$ at energies, E, close to the Fermi level. We derive a system of self-consistent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , M. E. Raikh