A Superconductor Made by a Metal Heterostructure at the Atomic Limit Tuned at the "Shape Resonance": MgB2

Abstract

We have studied the variation of Tc with charge density and lattice parameters in Mg1-xAlxB2 superconducting samples at low Al doping x<8%. We show that high Tc occurs where the chemical potential is tuned at a "superconducting shape resonance" near the energy Ec of the quantum critical point (QCP) for the dimensional transition from 2D to 3D electronic structure in a particular subband of the natural superlattice of metallic atomic boron layers. At the "shape resonance" the electrons pairs see a 2D Fermi surface at EF-w0 and a 3D Fermi surface at EF+wo, where wo is the energy cut off of the pairing interaction. The resonant amplification occurs in a narrow energy range where EF-Ec is in the range of 2wo.

16 pages

References in corpus (4)

• Boron Isotope Effect in Superconducting MgB${}_2$
• Thermodynamic and Transport Properties of Superconducting $M{g}^{10}{B}_2$
• The gap amplification at a "shape resonance" in a superlattice of quantum stripes: a mechanism for high Tc
• On the Possibility of New High Tc Superconductors by Producing metal Heterostructures as in the Cuprate Perovskites

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