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In this paper, we consider the spectral properties of the bilayer graphene with the local excitonic pairing interaction between the electrons and holes. We consider the generalized Hubbard model, which includes both intralayer and…

Mesoscale and Nanoscale Physics · Physics 2017-12-22 V. Apinyan , T. K. Kopeć

A fully selfconsistent treatment for gap generation and Coulomb screening in excitonic insulators is presented. The method is based on the equations of motion for the relevant dynamical variables combined with a variational approach.…

Mesoscale and Nanoscale Physics · Physics 2013-06-27 Tineke Stroucken , Johanna H. Grönqvist , Stephan. W. Koch

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

In this paper, the effects of the external transverse magnetic field $B$ (perpendicular to the surface of the layers) on the electronic and excitonic properties are studied in the AA-stacked bilayer graphene (BLG). The effects of the…

Strongly Correlated Electrons · Physics 2022-05-19 V. Apinyan , T. K. Kopec

In the present paper, we consider the excitonic effects on the single particle normal density of states (DOS) in the bilayer graphene (BLG). The local interlayer Coulomb interaction is considered between the particles on the non-equivalent…

Strongly Correlated Electrons · Physics 2017-12-14 V. Apinyan , T. K. Kopeć

We consider the pairing between conduction band electrons, and the valence band holes in the neutral bilayer-type structures. By employing the bilayer Hubbard model, we show the possibility of the inter-plane exciton formation in the system…

Strongly Correlated Electrons · Physics 2016-08-08 V. Apinyan , T. K. Kopeć

Exciton instability in graphene bilayer systems is studied in the case of a short-ranged Coulomb interaction and a finite voltage difference between the layers. Self-consistent exciton gap equations are derived and solved numerically and…

Strongly Correlated Electrons · Physics 2008-07-02 Raoul Dillenschneider , Jung Hoon Han

We present Coulomb-drag measurements on a heterostructure comprising two Bernal-stacked bilayer graphene (BLG) sheets separated by a 2.5 nm hexagonal boron nitride (hBN) spacer in the quantum Hall (QH) regime. Using top and bottom gate…

Mesoscale and Nanoscale Physics · Physics 2026-03-18 Zeyu Hao , A. M. Zimmerman , Kenji Watanabe , Takashi Taniguchi , Philip Kim

We consider the optical properties of the half-filled AB-stacked bilayer graphene with the excitonic pairing and condensation between the layers. Both intra and interlayer local Coulomb interaction effects have been taken into account and…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 V. Apinyan , T. K. Kopec

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

Atomically thin materials offer multiple opportunities for layer-by-layer control of their electronic properties. While monolayer graphene (MLG) is a zero-gap system, Bernal-stacked bilayer graphene (BLG) acquires a finite band gap when the…

We consider the excitonic effects on the thermal properties in the AB-stacked bilayer graphene. The calculations are based on the bilayer generalization of the usual Hubbard model at the half-filling. The full interaction bandwidth is used…

Mesoscale and Nanoscale Physics · Physics 2021-12-17 V. Apinyan , T. K. Kopec

In the present paper, we describe the antiferromagnetic and excitonic correlations in the AA-stacked bilayer graphene. We consider the applied external electric field potential to the structure which leads to the electronic charge imbalance…

Strongly Correlated Electrons · Physics 2021-12-16 V. Apinyan , T. K. Kopec

Exciton condensation in semiconductors and semimetals has long been predicted but remains elusive. In a semiconductor, condensation occurs when the exciton binding energy matches the band gap. This binding energy results from a balance…

Strongly Correlated Electrons · Physics 2025-06-11 Harley D. Scammell , Oleg P. Sushkov

Biased bilayer graphene (BBG) is an important system for studies of excitonic effects in graphene--based systems, with its easily tunable bandgap. This bandgap is governed by an external gate voltage, allowing one to tune the optical…

Mesoscale and Nanoscale Physics · Physics 2024-09-02 M. F. C. Martins Quintela , N. M. R. Peres , T. Garm Pedersen

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

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

Electron interactions in undoped bilayer graphene lead to instability of the gapless state, `which-layer' symmetry breaking, and energy gap opening at the Dirac point. In contrast to single layer graphene, the bilayer system exhibits…

Mesoscale and Nanoscale Physics · Physics 2010-04-16 Rahul Nandkishore , Leonid Levitov

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 analyze the Coulomb interacting problem in undoped graphene layers by using an excitonic variational ansatz. By minimizing the energy, we derive a gap equation which reproduces and extends known results. We show that a full treatment of…

Strongly Correlated Electrons · Physics 2011-05-27 J. Sabio , F. Sols , F. Guinea
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