Abstract
The problem of the excitonic and spin superflow in the Bose-condensated electron-hole fluid is considered taking into account the phase fixation due to non-conservation of the electron-hole pair number and the total spin. The ways to observe the superflows in Cr are discussed. There is the analogy between the spin superfluidity in the exitonic state adn in the A-phase of the superfluid He 3. The spin superflow is possible not only in the Cr (the itinerant antiferromagnetic) but in other planar antiferromagnetics too.
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