Abstract
A gap Δ 2 in the elementary excitation spectrum of a thin semimetal film is calculated. The gap associated with electron-hole pairing is shown to be much larger in a two-dimensional system than in a three-dimensional one. It is noted that the gap decreases significantly if the film is placed on a metallic substrate. The possibility of anisotropic semimetal-insulator (or, at the triplet pairing, antiferromagnetic) transition when the sample thickness decreases is considered.
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