Kugel-Khomskii coupling

Kugel-Khomskii coupling

Kugel-Khomskii coupling describes a coupling between the spin and orbital degrees of freedom in a solid. The Hamiltonian used is:

H=frac{t^2}{U}sum_{}left [4left(overrightarrow{S_i}cdotoverrightarrow{S_j} ight)( au_i^{alpha}-frac{1}{2})( au_j^{alpha}-frac{1}{2})+( au_i^{alpha}+frac{1}{2})( au_j^{alpha}+frac{1}{2})-1 ight]

References

* http://kotliar6.rutgers.edu/udo/prof/profd/papers/prb56_14243.pdf
* K. I. Kugel and D. I. Khomskii, Sov. Phys. Usp. 25, 231 (1982).


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