Quantum magnetic phase transitions in a Kugel-Khomskii model including spin-orbit coupling

D. E. Chizhov, P. A. Igoshev, V. Yu. Irkhin

Using the formalism of pseudospin and isospin operators the Hamiltonian of an effective Kugel-Khomskii model with spin-orbit coupling is derived with an exact account of the $t_{2g…