The effect of a magnetic field on the thermodynamic properties of the Kugel-Khomskii model with maximal entanglement using the quasi-classical Monte Carlo method with the heat bath algorithm. The temperature dependencies of single-site correlators show that the application of a magnetic field results in non-zero magnetization and the simultaneous appearance of an orbital ordering at the same point in the Brillouin zone where a non-zero spin-orbit correlator exists.
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Panov et al. (2026) studied this question.
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