Abstract
We investigate the transition temperature of layered superconductors by considering a stack ofL z superconducting layers, separated by insulating material. We adopt a pairing Hamiltonian, invoke the variational principle and solve the resulting gap equations numerically. Our results confirm previous weak coupling and Ginzburg-Landau treatments and reveal a rise ofT c withL z and saturation at the bulk transition temperature. Thus, the rise ofT c is traced back to a finite size effect, corresponding to a crossover from 2-d to 3-d superconductivity. The results also reveal a sizeable variation of the gap along the stack with pronounced variation at the ends.
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Michielsen, K., Schneider, T. & De Raedt, H. Finite size effects in layered superconductors. Z. Physik B - Condensed Matter 85, 15–21 (1991). https://doi.org/10.1007/BF01387783
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DOI: https://doi.org/10.1007/BF01387783