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Considering spin-orbit coupling, the tetragonal crystal-field, and allrelevant superexchange processes including quantum interference, we deriveexpressions for the energy levels of the vanadium ions in tetragonal Sr2VO4.The used parameters of the model Hamiltonian allow to describe well theexcitation spectra observed in neutron scattering and optical experiments atlow temperatures. The free energy exhibits a minimum which corresponds to anovel alternating spin-orbital order with strong thermal fluctuation of theorbital mixing parameter.

Alternating spin-orbital order in tetragonal Sr2VO4