The phase transitions in cobalt fluoride (at T≪TN=38 K) in a longitudinal magnetic field are investigated theoretically, and it is shown that the field-induced transition of the magnetic subsystem from an antiferromagnetic phase can occur only to a canted phase and that it is a first-order transition. The character of this transition is due to the “sign” of the Dzyaloshinskiı̆ interaction, and this affords an opportunity to determine experimentally the “sign” of the Dzyaloshinskiı̆ interaction. The field of the transition to the spin-flop phase (when the total magnetic moment becomes parallel to the easy axis) coincides with the field of the transition to the spin-flip phase (when the antiferromagnetism vector becomes equal to zero).
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