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The doping dependent isotope effect on the critical temperature (T c) is calculated for multi-band multi-condensate superconductivity near a 2.5 Lifshitz transition. We consider a superlattice of quantum stripes with finite hopping between stripes near a 2.5 Lifshitz transition for the appearance of a new sub-band making a circular electron-like Fermi surface pocket. We describe a particular type of BEC (Bose–Einstein Condensate) to BCS (Bardeen–Cooper–Schrieffer condensate) crossover in multi-band/multi-condensate superconductivity at a metal-to-metal transition that is quite different from the standard BEC–BCS crossover at an insulator-to-metal transition. The results show that the isotope coefficient strongly deviates from the standard BCS value 0.5, when the chemical potential is tuned at the 2.5 Lifshitz transition for the metal-to-metal transition. The critical temperature T c shows a minimum due to the Fano …
IOP Publishing
Publication date: 
8 Nov 2012

Andrea Perali, Davide Innocenti, Antonio Valletta, Antonio Bianconi

Biblio References: 
Volume: 25 Issue: 12 Pages: 124002
Superconductor Science and Technology