The superconducting gap for 2D electron gas in a superlattice of quant
um stripes with a finite 1D periodic potential barrier is calculated.
The resonant enhancement of the superconducting gap is found when the
Fermi level is tuned near the bottom of the nth superlattice subband w
ith n greater than or equal to 2. The critical charge density rho(c) f
or maximum T-c at the n = 2 resonance is mainly determined by the stri
pe width L and vice versa, while it is nearly independent on the ampli
tude of the potential barrier. The width of the resonance is determine
d by the interaction cutoff (h) over bar omega(0) and its shape by the
ratio Delta E(n perpendicular to)/(h) over bar omega(0), where Delta
E(n perpendicular to) is the transversal energy dispersion of the n su
bband due to the transverse hopping between stripes. (C) 1997 Elsevier
Science Ltd.