Abstract
Spin-selective insulators emerge in systems composed of fermions with two internal degrees of freedom and another carrier, which could be fermionic or bosonic. These insulators are characterized by a gapless state for one kind of fermion and an insulator state for the other, with the latter satisfying a commensurability relation that involves the other carrier. We review the different scenarios where these unique insulators arise, focusing on Bose-Fermi mixtures, the most recent and promising scenario for observing these insulators in cold atom setups.
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