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TMF, 1977, Volume 32, Number 1, Pages 114–119 (Mi tmf3141)  

Generalization of the Heisenberg Hamiltonian for a crystal with allowance for orbital degrees of freedom

V. N. Kharkyanen


Abstract: Generalised form of the Heisenberg Hamiltonian is proposed for crystals, the structure units of wrich include the group of the lowest states with different orbital as well as spin quantum numbers (the spin-orbital multiplet). The technique of irreducible tensor operators is used for constructing the Hamiltonian. Application of the Hamiltonian obtained to the study of orbital ordering in the model crystal with orbitally degenerated centres is considered.

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English version:
Theoretical and Mathematical Physics, 1977, 32:1, 632–636

Received: 12.07.1976

Citation: V. N. Kharkyanen, “Generalization of the Heisenberg Hamiltonian for a crystal with allowance for orbital degrees of freedom”, TMF, 32:1 (1977), 114–119; Theoret. and Math. Phys., 32:1 (1977), 632–636

Citation in format AMSBIB
\Bibitem{Kha77}
\by V.~N.~Kharkyanen
\paper Generalization of the Heisenberg Hamiltonian for a crystal with allowance for orbital degrees of freedom
\jour TMF
\yr 1977
\vol 32
\issue 1
\pages 114--119
\mathnet{http://mi.mathnet.ru/tmf3141}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 32
\issue 1
\pages 632--636
\crossref{https://doi.org/10.1007/BF01041438}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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