Abstract
The study of superconductivity in correlated systems is an exciting area of condensedmatter physics. In this paper we consider superconducting ground states in systemsdescribed by two-band models with different effective masses. These two bandsare coupled through an effective hybridization that can be directly tunedby pressure. We consider the cases of s-wave superconductivity associated withthe electrons in a narrow band and also with inter-band pairing. To study thesystem in the strong coupling regime we introduce the s-wave scattering lengthas, and obtainthe superconducting order parameters and the chemical potential as functions of the interaction strength1/kFas along the BCS–BECcrossover at T = 0. Finally, we discuss the phase diagram of this model as a function of external pressure andhow our results can be applied for two-band systems as Fe pnictides or heavy fermions. Themain result of this study is the occurrence of a superconducting quantum critical point(SQCP) in this two-band model.
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