Role of confined phonons in thin-film superconductivity
E. H. Hwang, S. Das Sarma, M. A. Stroscio
DOI 10.1103/PhysRevB.61.8659 · Physical Review B
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Abstract
We calculate the critical temperature Tc and the superconducting energy gaps Δn of a thin-film superconductor system, where Δn is the superconducting energy gap of the nth subband. Since the quantization of both the electron energy and phonon spectrum arises due to dimensional confinement in one direction, the effective electron-electron interaction mediated by the quantized confined phonons is different from that mediated by the bulk phonon, leading to the modification of Tc in the thin-film system. We investigate the dependence of Tc and Δn on the film thickness d with this modified interaction.
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