Superconductivity of a striped phase at the atomic limit

The resonant amplification of the superconducting critical temperature, the isotope effect, the change of the chemical potential in a particular 2D striped phase formed by superconducting stripes of width L alternated by separating stripes of width W with a period lambda(p) the atomic limit is studied. The critical temperature shows a 'shape resonance' by tuning the charge density where the chemical potential mu is in the range E-n < mu < E-n + (h) over bar omega(0), where E-n is the bottom of the nth superlattice subband for n > 2, and (h) over bar omega(0) is the energy cutoff for the pairing interaction. The maximum critical superconducting temperature is reached at the cross-over from 2D to ID behavior. The particular properties of this electronic phase and its similarities with the normal and superconducting propel-ties of doped cuprate perovskites are discussed.