mriselMagnetic Resonance in SolidsMagnetic Resonance in Solids2072-5981Kazan Federal Universitymrisel-120Research ArticleСтатьиSimulations of equilibrium magnetic and magnetoelastic properties of non-conducting rare-earth compoundsNuzhinaD. S.

Kremlevskaya 18, Kazan 420008

RomanovaI. V.

Kremlevskaya 18, Kazan 420008

romanova.irina.vladimirovna@gmail.comKazan Federal UniversityRussian Federation20161712201618216205 (10 pp.)Copyright © Nuzhina D.S., Romanova I.V., 20242024Nuzhina D.S., Romanova I.V.Nuzhina D.S., Romanova I.V.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/120

The Hamiltonian of the magnetic subsystem containing rare-earth ions involves energies of the localized 4f-electrons in free ions, energies of interactions of the 4f-electrons with the static crystal field in the perfect crystal lattice as well as in the homogeneously deformed lattice, interactions with the external magnetic field and lattice vibrations (electron-phonon interaction), magnetic dipolar and exchange interactions between the ions. This Hamiltonian is used in calculations of different measurable physical parameters versus temperature and the magnetic field strength and direction (energy levels of rare earth ions, the magnetization, magnetic dc- and ac-susceptibilities, elastic constants, lattice deformations).

crystalline electric field parametersmagnetostrictionmagnetoelastic interactionelectron-phonon interactionThis work was performed according to the Russian Government Program of Competitive Growth of Kazan federal university and partially supported by RFBR grant №15-02-06990_а.ReferencesAbdulsabirov R.Yu., Kazantsev A.A., . Korableva S.L., Malkin B.Z., Nikitin S.I., StolovA.L. J. Lumin. 117, 225 (2006)Abdulsabirov R.Yu., Kazantsev A.A., . Korableva S.L., Malkin B.Z., Nikitin S.I., StolovA.L. J. Lumin. 117, 225 (2006)Abdulsabirov R.Yu., Kazantsev A.A., . Korableva S.L., Malkin B.Z., Nikitin S.I., Stolov A.L., Tayurskii D.A., van Tol J. SPIE Proceedings 4766, 59 (2006)Abdulsabirov R.Yu., Kazantsev A.A., . Korableva S.L., Malkin B.Z., Nikitin S.I., Stolov A.L., Tayurskii D.A., van Tol J. SPIE Proceedings 4766, 59 (2006)Abubakirov D.I., Kuzmin V.V., Suzuki H., Tagirov M.S., Tayurskii D.A., J. Phys.: Conf. Ser. 51, 135 (2006)Abubakirov D.I., Kuzmin V.V., Suzuki H., Tagirov M.S., Tayurskii D.A., J. Phys.: Conf. Ser. 51, 135 (2006)Romanova I.V., Malkin B.Z., Mukhamedshin I.R., Suzuki H., Tagirov M.S. Phys. Solid State 44, 1544 (2002) (Fizika Tverdogo Tela 44, 1475 (2002), in Russian)Romanova I.V., Malkin B.Z., Mukhamedshin I.R., Suzuki H., Tagirov M.S. Phys. Solid State 44, 1544 (2002) (Fizika Tverdogo Tela 44, 1475 (2002), in Russian)Romanova I.V., Egorov A.V., Korableva S.L., Malkin B.Z., Tagirov M.S. J. Phys.: Conf. Ser. 324, 012034 (2011)Romanova I.V., Egorov A.V., Korableva S.L., Malkin B.Z., Tagirov M.S. J. Phys.: Conf. Ser. 324, 012034 (2011)Romanova I.V., Klochkov A.V., Korableva S.L., Kuzmin V.V., Malkin B.Z., Mukhamedshin I.R., Suzuki H., Tagirov M.S. Magn. Reson. Solids 14, 12203 (2012)Romanova I.V., Klochkov A.V., Korableva S.L., Kuzmin V.V., Malkin B.Z., Mukhamedshin I.R., Suzuki H., Tagirov M.S. Magn. Reson. Solids 14, 12203 (2012)Romanova I.V., Korableva S.L., Krotov V.I., Malkin B.Z., Mukhamedshin I.R., Suzuki H., Tagirov M.S. J. Phys.: Conf. Ser. 478, 012026 (2013)Romanova I.V., Korableva S.L., Krotov V.I., Malkin B.Z., Mukhamedshin I.R., Suzuki H., Tagirov M.S. J. Phys.: Conf. Ser. 478, 012026 (2013)Romanova I.V., Malkin B.Z., Tagirov M.S. Opt. Spectrosc. 116, 897 (2014) (Optika I Spektroskopiya 116, 973 (2014), in Russian)Romanova I.V., Malkin B.Z., Tagirov M.S. Opt. Spectrosc. 116, 897 (2014) (Optika I Spektroskopiya 116, 973 (2014), in Russian)Aminov L.K., Malkin B.Z., Teplov M.A. Handbook on the Physics and Chemistry of the Rare- Earths 22 ed. K.A. Gschneider and LeRoy Eyring (North-Holland, Amsterdam, 1996)Aminov L.K., Malkin B.Z., Teplov M.A. Handbook on the Physics and Chemistry of the Rare- Earths 22 ed. K.A. Gschneider and LeRoy Eyring (North-Holland, Amsterdam, 1996)Klekovkina V.V., Zakirov A.R., Malkin B.Z., Kasatkina L.A. J. Phys.: Conf. Ser. 324, 012036 (2011)Klekovkina V.V., Zakirov A.R., Malkin B.Z., Kasatkina L.A. J. Phys.: Conf. Ser. 324, 012036 (2011)Kazei Z.A., Snegirev V.V., Abdulsabirov R.Yu., Korableva S.L., Broto J.M., Rakoto H. JETP 115, 1029 (2012)Kazei Z.A., Snegirev V.V., Abdulsabirov R.Yu., Korableva S.L., Broto J.M., Rakoto H. JETP 115, 1029 (2012)Dunn J.L., Stahl C., Macdonald A.J., Liu K., Reshitnyk Y., Sim W., Hill R. W. Phys. Rev. B. 86, 094428 (2012)Dunn J.L., Stahl C., Macdonald A.J., Liu K., Reshitnyk Y., Sim W., Hill R. W. Phys. Rev. B. 86, 094428 (2012)Kovachevich I., Babkevich P., Jeong M., Piatek J.O., Boero G., Rønnow H.M. arXiv:1607.00124v2 [cond-mat.str-el] (2016)Kovachevich I., Babkevich P., Jeong M., Piatek J.O., Boero G., Rønnow H.M. arXiv:1607.00124v2 [cond-mat.str-el] (2016)Aminov L.K., Ershova A.A., Korableva S.L., Kurkin I.N., Malkin B.Z., Rodionov A.A. Phys. Solid State 53, 2240 (2011)Aminov L.K., Ershova A.A., Korableva S.L., Kurkin I.N., Malkin B.Z., Rodionov A.A. Phys. Solid State 53, 2240 (2011)Rosenbaum T.F., Wu W., Ellman B., Yang J., Aeppli G., Reich D.H. J. Appl. Phys. 70, 5946 (1991)Rosenbaum T.F., Wu W., Ellman B., Yang J., Aeppli G., Reich D.H. J. Appl. Phys. 70, 5946 (1991)Al'tshuler S.A., Krotov V.I., Malkin B.Z. Pis'ma ZhETF 32, 232 (1980) (in Russian)Al'tshuler S.A., Krotov V.I., Malkin B.Z. Pis'ma ZhETF 32, 232 (1980) (in Russian)Elliott R.J., Harley R.T., Hayes W., Smith S.R.P. Proc. Roy. Soc. Lond. A. 328, 217 (1972)Elliott R.J., Harley R.T., Hayes W., Smith S.R.P. Proc. Roy. Soc. Lond. A. 328, 217 (1972)Aminov L.K., Malkin B.Z., Dynamics and Kinetics of Electronic and Spin Excitations in Paramagnetic Crystals, Kazan State University, Kazan (2008) (in Russian)Aminov L.K., Malkin B.Z., Dynamics and Kinetics of Electronic and Spin Excitations in Paramagnetic Crystals, Kazan State University, Kazan (2008) (in Russian)Al'tshuler S.A., Malkin B.Z., Teplov M.A., Terpilovskii D.N. Sov. Sci. Rev.: Sect. A 6, 61 (1985)Al'tshuler S.A., Malkin B.Z., Teplov M.A., Terpilovskii D.N. Sov. Sci. Rev.: Sect. A 6, 61 (1985)

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