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Kugel–Khomskii coupling describes a coupling between the spin and orbital degrees of freedom in a solid; it is named after the Russian physicists Kliment I. Kugel (Климент Ильич Кугель) and Daniel I. Khomskii (Daniil I. Khomskii, Даниил Ильич Хомский). The Hamiltonian used is:

${\displaystyle H={\frac {t^{2}}{U}}\sum _{\langle i,j\rangle }\left.}$

References

• G. Khaliullin and V. Oudovenko (1 Dec 1997). "Spin and orbital excitation spectrum in the Kugel-Khomskii model" (PDF). Physical Review B. 56 (22): R14243 – R14246. arXiv:cond-mat/9710070. Bibcode:1997PhRvB..5614243K. doi:10.1103/PhysRevB.56.R14243. S2CID 119360845. Archived from the original (PDF) on 19 August 2011.
• K. I. Kugel and D. I. Khomskii (1982). "The Jahn-Teller effect and magnetism: transition metal compounds". Soviet Physics Uspekhi. 25 (4): 231. doi:10.1070/PU1982v025n04ABEH004537.

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