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We present a simple model of spin-spin coupling which provides insight into the nature of the rapid decrease in the Curie temperature with decreasing thin film thickness n (number of monolayers). The shift of Curie temperature t (n) {0ex{0ex}=0ex{0ex}1-T}₂ (n) /T₂ () follows the usual power law t (n) n^- in thin films crossing over to linear behavior t (n) in the ultrathin film thickness limit. Experimental results for ferromagnetic thin films are compared, and shown to follow curves of t (n) with values dependent on the nature of the spin-spin interactions.
Zhang et al. (Mon,) studied this question.