Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Multiorbital exchange Hamiltonians: Derivation and examples
AU - Igoshev, Petr
AU - Streltsov, Sergey
AU - Kugel, Kliment
N1 - The derivation of two-orbital model (Section 3) and analysis of its application to perovskites (Section 5) were supported by the Russian Science Foundation via project RSF 23-42-00069. General derivation of effective Hamiltonian (Section 4) was funded by the program “Quantum ” No. 122021000038-7.
PY - 2023/12/1
Y1 - 2023/12/1
N2 - We present a detailed derivation of the effective Hamiltonian for a strongly correlated electron system involving both orbital and spin degrees of freedom. This problem is relevant to a wide class of materials containing ions with the orbitally degenerate ground state (Jahn–Teller ions). We treat in detail the case of double degenerate orbitals, obtain the Kugel–Khomskii model, and then pass to a more general multiorbital case. Based on the derived Hamiltonians, we analyze possible spin and orbital configurations, which can be rather nontrivial, especially in the multiorbital case. A special emphasis is put on to a specific example of the square lattice of Jahn–Teller ions typical of layered perovskites.
AB - We present a detailed derivation of the effective Hamiltonian for a strongly correlated electron system involving both orbital and spin degrees of freedom. This problem is relevant to a wide class of materials containing ions with the orbitally degenerate ground state (Jahn–Teller ions). We treat in detail the case of double degenerate orbitals, obtain the Kugel–Khomskii model, and then pass to a more general multiorbital case. Based on the derived Hamiltonians, we analyze possible spin and orbital configurations, which can be rather nontrivial, especially in the multiorbital case. A special emphasis is put on to a specific example of the square lattice of Jahn–Teller ions typical of layered perovskites.
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U2 - 10.1016/j.jmmm.2023.171315
DO - 10.1016/j.jmmm.2023.171315
M3 - Article
VL - 587
JO - Journal of Magnetism and Magnetic Materials
JF - Journal of Magnetism and Magnetic Materials
SN - 0304-8853
M1 - 171315
ER -
ID: 47875679