Effects of exchange-covalent bonds on the orbital moment of paramagnetic centers with unfilled 3d-shells
https://doi.org/10.26907/mrsej-24101
Abstract
An effective operator of the interaction of the orbital moment of d-electrons with the magnetic field is derived by combining the method of secondary quantization with the technique of irreducible tensor operators. It is found that in addition to renormalization of the matrix elements of the total orbital momentum L there are new terms in the Hamiltonian of the interaction with the magnetic field. The effects are numerically calculated by the example of the ground term of Fe2+ ions in Fe2Mo2O8. Additional magnetic dipole transitions with ∆M = ±3 and ∆M = ±2 are allowed when the magnetic field is directed along the c-axis of the crystal and in the perpendicular orientation, respectively.
References
1. Abragam A., Bleaney B. Electron Paramagnetic Resonance of Transition Ions Oxford: Oxford University, (1970)
2. Eremin M.V., Leushin A.M. Sov. Phys. Solid State, 18(7), 1252 (1974)
3. Anikeenok O.A., Eremin M.V. Sov. Phys. Solid State 23(3), 401 (1981) [note that in the formula (12) the factor 2 was missed before the second sum in curly brackets]
4. Eremin M.V. Extended Abstract of Doctoral (Phys. Math.) Dissertation Kazan, (1987) in Russian
5. Judd B.R. Second quantization and atomic spectroscopy, The Johns Hopkins University Press, (1967)
6. Clementi E., Roetti C. Atomic Data and Nuclear Data Tables 14, 177, (1974)
7. Sugano S., Shulman R.G. Phys. Rev. 130, 517 (1967)
8. Kurumaji T., Ishiwata S., Tokura Y. Phys. Rev. X 5, 031034 (2015)
9. Wang Y., Pascut G. L., Gao B., Tyson T. A., Haule K., Kiryukhin V., Cheong S.-W. Sci. Rep. 5, 12268 (2015)
10. Varret F., Czeskleba H., Hartmann-Boutron F., Imbert P. J. Phys. France 33, 549 (1972)
11. Reschke S., Tsirlin A.A., Khan, Prodan L., Tsurkan V., Kezsmarki I., Deisenhofer J. Phys. Rev. B 102, 0940307 (2020)
12. Vasin K.V., Strinic A., Schilberth F., Reschke S., Prodan L., Tsurkan V., Nurmukhametov A.R., Eremin M.V., Kezsmarki I., Deisenhofer J. (to be published)
13. Freund P., Owen J., Hann B.F. J. Phys. C: Solid State Phys. 6, L139 (1973)
14. Freund P. J. Phys. 7, L33 (1974)
15. Eremin M.V. in Spectroscopy of Laser Crystals Ed. Kaplyanskii A.A., Leningrad: Nauka, p. 30, (1989) (in Russian)
Review
For citations:
Eremin M.V. Effects of exchange-covalent bonds on the orbital moment of paramagnetic centers with unfilled 3d-shells. Magnetic Resonance in Solids. 2024;26(1):24101 (8 pp.). https://doi.org/10.26907/mrsej-24101