We discuss the shape resonance in the superconducting gaps of a two-band superconductor by tuning the chemical potential at a Lifshitz transition for Fermi surface neck collapsing and for spot appearing. The high temperature superconducting scenario for complex matter shows the coexistence of a first BCS condensate made of Cooper pairs in the first band and a second boson-like condensate made of bosons like bipolarons, in the second band where the chemical potential is tuned near a Lifshitz transition. The interband coupling controls the shape resonance in the pair exchange between the two condensates. We discuss the particular BCS-Bose crossover that occurs at the shape resonance tuning the Lifshitz parameter (the energy difference between the chemical potential and the Lifshitz topological transition) like tuning the external magnetic field for the Feshbach resonances in ultracold gases. This superconducting phase provides a particular case of topological superconductivity with multiple condensates of different winding numbers.

Shape Resonance at a Lifshitz Transition for High Temperature Superconductivity in Multiband Superconductors / Davide, Innocenti; Antonio, Valletta; Bianconi, Antonio. - In: JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM. - ISSN 1557-1939. - 24:3(2011), pp. 1137-1143. [10.1007/s10948-010-1096-y]

Shape Resonance at a Lifshitz Transition for High Temperature Superconductivity in Multiband Superconductors

BIANCONI, Antonio
2011

Abstract

We discuss the shape resonance in the superconducting gaps of a two-band superconductor by tuning the chemical potential at a Lifshitz transition for Fermi surface neck collapsing and for spot appearing. The high temperature superconducting scenario for complex matter shows the coexistence of a first BCS condensate made of Cooper pairs in the first band and a second boson-like condensate made of bosons like bipolarons, in the second band where the chemical potential is tuned near a Lifshitz transition. The interband coupling controls the shape resonance in the pair exchange between the two condensates. We discuss the particular BCS-Bose crossover that occurs at the shape resonance tuning the Lifshitz parameter (the energy difference between the chemical potential and the Lifshitz topological transition) like tuning the external magnetic field for the Feshbach resonances in ultracold gases. This superconducting phase provides a particular case of topological superconductivity with multiple condensates of different winding numbers.
2011
bipolarons; bose-bcs crossover; lifshitz transition; multiband superconductivity; shape resonance
01 Pubblicazione su rivista::01a Articolo in rivista
Shape Resonance at a Lifshitz Transition for High Temperature Superconductivity in Multiband Superconductors / Davide, Innocenti; Antonio, Valletta; Bianconi, Antonio. - In: JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM. - ISSN 1557-1939. - 24:3(2011), pp. 1137-1143. [10.1007/s10948-010-1096-y]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/357177
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