Shape resonance at a Lifshitz transition for high temperature superconductivity in multiband superconductors

Details Shape resonance at a Lifshitz transition for high temperature superconductivity in multiband superconductors Shape resonance at a Lifshitz transition for high temperature superconductivity in multiband superconductors

2010-12-11

arxiv.org/abs/1012.2436v1

Journal of Superconductivity and Novel Magnetism 2011

Physics

Condensed Matter

Superconductivity

20 pages, 3 figures, proceedings of the "Superstripes 2010" Conference Erice, July 19 to 25, 2010 Italy

Scientific paper

10.1007/s10948-010-1096-y

We discuss the shape resonance in the superconducting gaps of a two band superconductor by tuning the chemical potential at a Lifshitz transition for Femi 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

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