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Holes can be thought of electrons with negative effective mass, and they DO have SPIN. It is mathematically more convenient to count "absence of electrons" rather than the nearly full bands - because valence bands of materials are typically full of electrons. But you could think of holes as particles, and there's nothing wrong with that. Ga Mn As is one material that has spin-polarized "holes" in it, so that can be a good example for you. But fundamentally, there's no difference between spin of an electron or an hole. It's the same thing. So I wouldn't even say they "can" have spin, instead they Do have spins but most of the time these are paired and no magnetic properties are observed .

Reference https://www.physicsforums.com/threads/do-holes-have-spin.461032/

I must second that. Under some circumstances holes are also considered as very interesting for applications as they can have pretty long spin coherence times and there are many groups working on that, especially in nanostructures. See "Optical pumping of a single hole spin in a quantum dot" by Brian Gerardot et al., Nature 451, 441 (2008) and references therein, if you are interested in hole spins in nanostructures.

Reference https://www.physicsforums.com/threads/do-holes-have-spin.461032/

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