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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

We study the electronic properties of AA-stacked bilayer graphene in a transverse electric field. The strong on-site Coulomb repulsion stabilizes the antiferromagnetic order in such a system. The antiferromagnetic order is suppressed by the…

Strongly Correlated Electrons · Physics 2014-10-13 R. S. Akzyanov , A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov , F. Nori

We study the effects of the electron-electron interactions on the excitonic properties and charge-density modulations in the AB stacked double-layer (DL) graphene, placed in the external gate-potential $V$. The coexistence of the canted…

Strongly Correlated Electrons · Physics 2025-10-24 V. Apinyan , T. K. Kopeć

In this study, we consider a two-layer graphene structure stacked in the AA form and exposed to the influence of two different electric fields applied to different layers. The graphene layers are also subjected to an external magnetic field…

Strongly Correlated Electrons · Physics 2025-10-23 V. Apinyan , T. Kopeć

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

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 study the possibility of charge order at quarter filling and antiferromagnetism at half-filling in a tight-binding model of magic angle twisted bilayer graphene. We build on the model proposed by Kang and Vafek [Physical Review X 8(3),…

Strongly Correlated Electrons · Physics 2021-12-07 B. Pahlevanzadeh , P. Sahebsara , D. Sénéchal

We study electronic properties of AA-stacked graphene bilayers. In the single-particle approximation such a system has one electron band and one hole band crossing the Fermi level. If the bilayer is undoped, the Fermi surfaces of these…

Strongly Correlated Electrons · Physics 2014-08-05 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

Tight-binding calculations predict that the AA-stacked graphene bilayer has one electron and one hole conducting bands, and that the Fermi surfaces of these bands coincide. We demonstrate that as a result of this degeneracy, the bilayer…

Mesoscale and Nanoscale Physics · Physics 2012-11-30 A. L. Rakhmanov , A. V. Rozhkov , A. O. Sboychakov , Franco Nori

We have studied the electron-electron interactions in the system composed of two metallic wires, placed in the external magnetic and electric fields. The interactions between the electrons in the wires have been taken into account within…

Strongly Correlated Electrons · Physics 2025-10-24 V. Apinyan , T. Kopeć

Tight-binding model of the AA-stacked bilayer graphene with screened electron-electron interactions has been studied using the Hybrid Monte Carlo simulations on the original double-layer hexagonal lattice. Instantaneous screened Coulomb…

Strongly Correlated Electrons · Physics 2014-12-05 A. A. Nikolaev , M. V. Ulybyshev

The paper presents a computational study of the ground-state magnetic phases of a selected bilayer graphene nanoflake in external electric field and magnetic field. The electric field has parallel and perpendicular component while the…

Materials Science · Physics 2017-05-02 Karol Szałowski

AA-stacked bilayer graphene supports Fermi circles in its bonding and antibonding bands which coincide exactly, leading to symmetry-breaking in the presence of electron-electron interactions. We analyze a continuum model of this system in…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 L. Brey , H. A. Fertig

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 implement a self-consistent Hartree-Fock approximation based on a microscopic model in real space, which allows us to consider the interplay between the Hubbard and the extended Coulomb interaction in twisted bilayer graphene at the…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 J. Gonzalez , T. Stauber

Using mean-field theory, we determine the electronic phase diagram of undoped AB-stacked bilayer graphene in the presence of a transverse electric field. In addition to multiple competing electronic instabilities characterized by excitonic…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 A. V. Rozhkov , A. O. Sboychakov , A. L. Rakhmanov

Twisted graphene bilayers develop highly localised states around AA-stacked regions for small twist angles. We show that interaction effects may induce either an antiferromagnetic (AF) and a ferromagnetic (F) polarization of said regions,…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Luis A. Gonzalez-Arraga , J. L. Lado , Francisco Guinea , Pablo San-Jose

Inter-Landau-level transitions in the bilayer graphene at high perpendicular magnetic field at the filling-factor v<<1 have been studied. The next-nearest-neighbor transitions, energy difference between dimer and non-dimer sites and layer…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 V. E. Bisti , N. N. Kirova

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

We report on our studies of interacting electrons in bilayer graphene in a magnetic field. We demonstrate that the long range Coulomb interactions between electrons in this material are highly important and account for the band asymmetry in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. S. L. Abergel , Tapash Chakraborty
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