mriselMagnetic Resonance in SolidsMagnetic Resonance in Solids2072-5981Kazan Federal University10.26907/mrsej-24212mrisel-265Research ArticleСтатьиOn the theory of spin degeneracy splitting in pairs of Kramers lanthanide ionsPukhovK. K.

Moscow 119435

k_pukhov@mail.ruMoscow Pedagogical State UniversityRussian Federation202429082024262SPECIAL ISSUE dedicated to Boris Z. Malkin's 85th birthday24212 (6 pp.)Copyright © Pukhov K.K., 20242024Pukhov K.K.Pukhov K.K.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.mrsej.ru/jour/article/view/265

This paper discusses the features of the structure of splitting of energy sublevels of Kramers ion pairs connected by Coulomb interaction. The structure energy sublevels of non-Kramers ion pairs in the presence of a perturbation V is also discussed. Section 2 of this work represent the review of the theoretical part of our previous work [1]. The “Davydov splitting” in cluster composed of two Kramers rare-earth ions was theoretically analyzed for the first time.

Kramers ionsnon-Kramers ionsPairsLevel splittingQuadrupole-quadrupole couplingThe research was carried out within the state assignment of The Ministry of Education of The Russian Federation “Physics of nanostructured materials and highly sensitive sensorics: synthesis, fundamental research and applications in photonics, life sciences, quantum and nanotechnology” (theme No. - 124031100005-5).ReferencesBasiev T., Fedorov V., Karasik A., Pukhov K., J. Lumin. 81, 189 (1999).Basiev T., Fedorov V., Karasik A., Pukhov K., J. Lumin. 81, 189 (1999).Abragam A., Bleaney B., Electron Paramagnetic Resonance of Transition Ions (Oxford, 1970) 899 p.Abragam A., Bleaney B., Electron Paramagnetic Resonance of Transition Ions (Oxford, 1970) 899 p.Cone R., Meltzer R., in Spectroscopy of Solids Containing Rare Earth Ions, Modern problems in condensed matter sciences, edited by Kaplyanskii A., Macfarlane R. (North-Holland, 1987) p. 78.Cone R., Meltzer R., in Spectroscopy of Solids Containing Rare Earth Ions, Modern problems in condensed matter sciences, edited by Kaplyanskii A., Macfarlane R. (North-Holland, 1987) p. 78.Vial J., Buisson R., J. de Phys. Lett. 43, 745 (1982).Vial J., Buisson R., J. de Phys. Lett. 43, 745 (1982).Buisson R., J. Lumin. 31, 78 (1984).Buisson R., J. Lumin. 31, 78 (1984).Kask N., Kornienko L., Fakir M., Phys. Solid State 6, 549 (1964), [In Russian].Kask N., Kornienko L., Fakir M., Phys. Solid State 6, 549 (1964), [In Russian].Naumov A. V., Phys. Usp. 56, 605 (2013).Naumov A. V., Phys. Usp. 56, 605 (2013).Morsink J., Wiersma D., Chem. Phys. Lett. 65, 105 (1979).Morsink J., Wiersma D., Chem. Phys. Lett. 65, 105 (1979).Fedyanin V. V., Karimullin K. R., Laser Phys. 29, 124008 (2019).Fedyanin V. V., Karimullin K. R., Laser Phys. 29, 124008 (2019).Krupke W., IEEE J. Quant. Electronics 7, 153 (1971).Krupke W., IEEE J. Quant. Electronics 7, 153 (1971).Freeman A., Watson R., Phys. Rev. 127, 2058 (1962).Freeman A., Watson R., Phys. Rev. 127, 2058 (1962).Carnall W., Fields P., Rajnak K., J. Chem. Phys. 49, 4424 (1968).Carnall W., Fields P., Rajnak K., J. Chem. Phys. 49, 4424 (1968).Fedorov V., Basiev T., Karasik A., Pukhov K., Ver Steeg K., in International Conference on Luminescence and Optical Spectroscopy of Condensed Matter (Prague, 1996), Conference Handbook (Elsevier Science, Prague, 1996) pp. 12–73.Fedorov V., Basiev T., Karasik A., Pukhov K., Ver Steeg K., in International Conference on Luminescence and Optical Spectroscopy of Condensed Matter (Prague, 1996), Conference Handbook (Elsevier Science, Prague, 1996) pp. 12–73.Carlson B., Rushbrooke G., Mathematical Proceedings of the Cambridge Philosophical Society 46, 626–633 (1950).Carlson B., Rushbrooke G., Mathematical Proceedings of the Cambridge Philosophical Society 46, 626–633 (1950).Kushida T., J. Phys. Soc. of Japan 34, 1318 (1973).Kushida T., J. Phys. Soc. of Japan 34, 1318 (1973).Landau L. D., Lifshitz E. M., Quantum mechanics: non-relativistic theory, third edition, revised and enlarged ed. (Pergamon press, 1977) Chap. VI, p. 136.Landau L. D., Lifshitz E. M., Quantum mechanics: non-relativistic theory, third edition, revised and enlarged ed. (Pergamon press, 1977) Chap. VI, p. 136.

The authors declare that there are no conflicts of interest present.