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The Coulomb interaction between massless Dirac fermions may induce dynamical chiral symmetry breaking by forming excitonic pairs in clean graphene, leading to semimetal-insulator transition. If the Dirac fermions have zero bare mass, an…

Strongly Correlated Electrons · Physics 2011-07-26 Chun-Xu Zhang , Guo-Zhu Liu , Ming-Qiu Huang

We theoretically investigate the possibility of excitonic condensation in a system of two graphene monolayers separated by an insulator, in which electrons and holes in the layers are induced by external gates. In contrast to the recent…

Strongly Correlated Electrons · Physics 2009-03-25 Maxim Yu. Kharitonov , Konstantin B. Efetov

We describe the robustness of an excitonic condensate in double layer graphene against layer density fluctuations and the associated charge inhomogeneity, and discuss the implications for observing the condensate under current experimental…

Mesoscale and Nanoscale Physics · Physics 2012-11-06 D. S. L. Abergel , Rajdeep Sensarma , S. Das Sarma

We suggest that physics underlying the recently observed removal of sublattice and spin degeneracies in graphene in a strong magnetic field describes a phase transition connected with the generation of excitonic and spin gaps. The…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

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

The effect of the intersite and interplane Coulomb interactions between the Dirac fermions on the formation of the Kohn-Luttinger superconductivity in bilayer doped graphene is studied disregarding the effects of the van der Waals potential…

Superconductivity · Physics 2016-02-08 M. Yu. Kagan , V. A. Mitskan , M. M. Korovushkin

The possibility of excitonic condensation in a recently proposed electrically biased double-layer graphene system is studied theoretically. The main emphasis is put on obtaining a reliable analytical estimate for the transition temperature…

Strongly Correlated Electrons · Physics 2012-08-29 Maxim Yu. Kharitonov , Konstantin B. Efetov

An anisotropic flat band fermion system with a novel dispersion that is linear along one direction and cubic along another is proposed in Phys. Rev. X. 13, 021012 (2023). We study the effects of Coulomb interaction in this fermion system by…

Strongly Correlated Electrons · Physics 2024-12-19 Jing-Rong Wang , Chang-Jin Zhang

We suggest that physics underlying the recently observed removal of sublattice and spin degeneracies in graphene in a strong magnetic field describes a phase transition connected with the generation of an excitonic gap. The experimental…

Strongly Correlated Electrons · Physics 2008-11-26 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

We discuss the conditions under which the predicted (but not yet observed) zero-field interlayer excitonic condensation in double layer graphene has a critical temperature high enough to allow detection. Crucially, disorder arising from…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 D. S. L. Abergel , M. Rodriguez-Vega , Enrico Rossi , S. Das Sarma

We study effects of a repulsive Coulomb interaction on the spectral gap in monolayer and bilayer graphene in the vicinity of the charge neutrality point by employing the functional renormalization-group technique. In both cases Coulomb…

Strongly Correlated Electrons · Physics 2011-04-01 Andreas Sinner , Klaus Ziegler

We study electronic properties of graphene with finite concentration of vacancies or other resonant scatterers by a straightforward lattice Quantum Monte Carlo calculations. Taking into account realistic long-range Coulomb interaction we…

Strongly Correlated Electrons · Physics 2015-06-24 M. V. Ulybyshev , M. I. Katsnelson

We analyze the phase diagram of twisted graphene bilayers near a magic angle. We consider the effect of the long range Coulomb interaction, treated within the self consistent Hartree-Fock approximation, and we study arbitrary band fillings.…

Strongly Correlated Electrons · Physics 2020-07-15 Tommaso Cea , Francisco Guinea

Two-dimensional Dirac fermions are subjected to two types of interactions, namely the long-range Coulomb interaction and the short-range on-site interaction. The former induces excitonic pairing if its strength $\alpha$ is larger than some…

Strongly Correlated Electrons · Physics 2019-06-26 Hai-Xiao Xiao , Jing-Rong Wang , Zheng-Wei Wu , Guo-Zhu Liu

We compute the renormalization group flow of the long-ranged electron-electron interaction at the Gross-Neveu quantum critical point between the semimetal and the excitonic insulator in graphene, perturbatively in the small parameter…

Strongly Correlated Electrons · Physics 2011-06-27 Vladimir Juricic , Igor F. Herbut , Gordon W. Semenoff

We analyze the competing effects of moderate to strong Coulomb electron-electron interactions and weak quenched disorder in graphene. Using a one-loop renormalization group calculation controlled within the large-N approximation, we…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Igor L. Aleiner

In this work, we analyze the excitonic gap generation in the strong-coupling regime of thin films of three-dimensional time-reversal-invariant topological insulators. We start by writing down the effective gauge theory in 2+1-dimensions…

Strongly Correlated Electrons · Physics 2017-09-13 N. Menezes , C. Morais Smith , Giandomenico Palumbo

We report a theoretical study of the many-body effects of electron-electron interaction on the ground-state and spectral properties of double-layer graphene. Using a projector-based renormalization method we show that if a finite voltage…

Strongly Correlated Electrons · Physics 2015-06-04 Van-Nham Phan , Holger Fehske

We theoretically investigate harmonic generation in graphene quantum dots under linearly polarized optical pulses, focusing on excitonic effects. Combining the tight-binding model and the single-particle density matrix approach, we derive a…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 Kainan Chang , Ying Song , Yuwei Shan , Jin Luo Cheng

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