Abstract
Here we propose a possible way to produce superconductors with high critical temperature Tc by confinement of a Fermi liquid in a superlattice of quantum stripes (wells, wires or dots). The enhancement of Tc is obtained by tuning the size L of the stripes (wells, wires or dots), and the wavelength of electrons at the Fermi level {\lambda}F at the resonance condition L {\lambda}F. The 3D superconducting phase is stabilized by the condition that the separation W between the stripes (wells, wires or dots) should be of the order of the coherence length {\xi}0. This quantum state is realized in Bi2Sr2Ca2Cu2O8+y superconductor with Tc= 84K, where the resonance condition kFy~2{\pi}/L for the component of the Fermi wavevector normal to the stripe direction holds. This work gives the parameters for the design of new superconducting materials with higher Tc made of metal heterostructures approaching the atomic limit.

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