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Ab initio electronic structure calculations show that the recently identifiedquasi-two-dimensional electride Y$_2$C is a weak itinerant ferromagnet or atleast close to a ferromagnetic instability. The ferromagnetism is induced bythe electride electrons, which are loosely bound around interstitial sites andoverlap with each other to form two-dimensional interlayer conduction bands.The semimetallicity and two-dimensionality of the band structure are the key tounderstanding this ferromagnetic instability.

Ferromagnetic instability of interlayer floating electrons in quasi-two-dimensional electride Y$_2$C