POLARITON EXCITATIONS IN A TOPOLOGICALLY ORDERED IMPERFECT HEXAGONAL ARRAY OF MICROPORES WITH A PRIMITIVE LATTICE

S. A. Fedorov, Y. A. Bezus, A. E. Rybalka

About the authors

S. A. Fedorov, Y. A. Bezus, A. E. Rybalka

Федоров Станислав Афанасьевич – кандидат ф -м наук, старший научный сотрудник, ФГБНУ «Донецкий физико -технический им А.А. Галкина», область научных интересов: компьютерное и математическое моделирование, фотоника, поляритоника, адрес: РФ, ДНР, г. Донецк, ул. Розы Люксембург, д.2 б.

Безус Юлия Александровна – кандидат ф-м наук, научный сотрудник, ФГБНУ «Донецкий физико -технический им А.А. Галкина», область научных интересов: компьютерное и математическое моделирование, фотоника, поляритоника, адрес: 283048, РФ, ДНР, г. Донецк, ул. Розы Люксембург, 72.

Рыбалка Алексей Евгеньевич – младший научный сотрудник, ФГБНУ «Донецкий физико -технический им А.А. Галкина», область научных интересов: компьютерное и математическое моделирование, фотоника, поляритоника, адрес: 283052, РФ, ДНР, г. Донецк, б. Шевченко, д.103, кв.18.

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UDC: 539.2+535
DOI: 10.24412/2413-7383-2025-3-38-78-86
Language: Russian

Abstract: In this paper, a microscopic examination of polariton excitations in a non -ideal topologically ordered nanolattice of micropores with hexagonal symmetry is carried out. The specifics of the energy spectrum of the quasiparticles under consideration are studied, due to both the configuration dependence of the parameters included in the Hamiltonian system and its symmetry.

Keywords: hexagonal symmetry, polariton structures, Bose-Einstein condensation.

References

1. Alojants A.P. Phase transitions and storage of quantum optical information based on polaritons in spatially periodic structures / A.P. Alojants, S.M. Arakelyan, S.N. Bagaev // Nanosystems: physics, chemistry, mathematics. – 2010. – Vol.1, No. 1. – pp. 7-25.
2. Rumyantsev V.V. Polaritons in a nonideal array of ultracold quantum dots / V.V. Rumyantsev, S.A. Fedorov, K.V. Gumennyk // Low Temperature Physics. -2016. –V.42, No.5. – P. 347-353.
3. Rumyantsev V.V. Elements of polaritonics of non-ideal structures / V. V. Rumyantsev, S.A. Fedorov, A.G. Petrenko // Bulletin of DonNU. Ser. A: Natural Sciences. 2017. No. 4. pp. 69-78.
4. Paladian Yu.A. Effects of propagation of electromagnetic and acoustic excitations in imperfect crystalline media: dis.... Candidate of Physical and Mathematical Sciences: 04/01/07 / DONFTI. – D. 2022. – 112 p.
5. Rumyantsev V.V. Introduction to polaritonics / V. V. Rumyantsev, S.A. Fedorov // Problems of artificial intelligence. – 2022. – №2 (25). – Pp. 29-39.
6. Shiqi Xia. Unconventional Flatband Line States in Photonic Lieb Lattices / Xia Shiqi. Ramachandran Ajith, Xia Shiqiang et al. // Physical Review Letters, 121, 26, 263902. – 2018. – P. 1-5.
7. Vahala K.J. Optical microcavities / K.J. Vahala // Nature. – 2003. – V. 424. – P. 839-846.
8. Rumyantsev V.V. Dispersion characteristics of electromagnetic excitations in a disordered one- dimensional lattice of coupled microresonators / V.V. Rumyantsev, S.A. Fedorov, K.V. Gumennyk, M.V. Sychanova // Physica B: Condensed Matter. – 2015. – V. 461. – P. 32-37.
9. Rumyantsev V.V. Electromagnetic excitations in a non-ideal two-sublattice microcavity chain [Text] / V.V. Rumyantsev, S.A. Fedorov, K.V. Gumennyk, J.A. Paladyan // Physica B: Condensed Matter. – 2019. – V. 571. – P. 296-300.
10. Rumyantsev V.V. The spectrum of elect romagnetic excitations in a non -ideal chain of micropores under conditions of homogeneous elastic deformation / V.V. Rumyantsev, S.A. Fedorov, K.V. Gumennik, D.A. Gurov // FTVD. – 2018. – Vol.28. – No. 1. – pp. 87-95. Поляритонные возбуждения… 2Ф
11. Rumyantsev V.V. Exciton -like excitations in imperfect hexagonal nanolattices of micropores / V.V. Rumyantsev, S.A. Fedorov, Yu.A. Bezus, A.V. Bezus, A.E. Rybalka // FTVD. – 2025. – Vol. 35. – No. 1. – pp. 44-51.
12. Rumyantsev V.V. Exiton-like electromagnetic excitations in non-ideal microcavity supercrystals / V.V. Rumyantsev, S.A. Fedorov, K.V. Gumennyk, M. Sychanova, A.V. Kavokin // Scientific Reports. – 2014. – V. 4:6945. – P. 1-6.
13. Brode V.L. Spectroscopy of molecular excitons / V.L. Brode, E.I. Rashba, E.F. Sheka. Moscow: Energoizdat, 1981. 248 p.
14. Rumyantsev V.V. Modeling the dependence of the density of states of polariton excitations on the concentration of defects in an imperfect 1D lattice of micropores containing quantum dots / V.V. Rumyantsev, A.E. Rybalka, S.A. Fedorov, K.V. Gumennik // Problems of Artificial Intelligence. – 2023. №3(26). – Pp. 41-50.
15. Fedorov S.A. Features of the spectrum of spin waves of multipath antiferromagnets: dis.... Candidate of

Issue: 3(38)'2025
Section: MATHEMATICAL MODELING, NUMERICAL METHODS AND SOFTWARE SYSTEMS
How to cite: S. A. Fedorov, Y. A. Bezus, A. E. Rybalka. POLARITON EXCITATIONS IN A TOPOLOGICALLY ORDERED IMPERFECT HEXAGONAL ARRAY OF MICROPORES WITH A PRIMITIVE LATTICE // Problems of Artificial Intelligence. - 2025. - № 3 (38). - P. 78-86. - https://paijournal.guiaidn.ru/en/2025/3(38)-7.html

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