Feshbach shape resonance for high Tc superconductivity in superlattices of nanotubes

Abstract

The case of a Feshbach shape resonance in the pairing mechanism for high T c superconductivity in a crystalline lattice of doped metallic nanotubes is described. The superlattice of doped metallic nanotubes provides a superconductor with a strongly asymmetric gap. The disparity and different spatial locations of the wave functions of electrons in different subbands at the Fermi level should suppress the single electron impurity interband scattering giving multiband superconductivity in the clean limit. The Feshbach resonances will arise from the component single-particle wave functions out of which the electron pair wave function is constructed: pairs of wave functions which are time inverse of each other. The Feshbach shape resonance increases the critical temperature by tuning the chemical potential at the Lifshitz electronic topological transition (ETT) where the Fermi surface of one of the bands changes from the one dimensional (1D) to the two dimensional (2D) topology (1D/2D ETT).

arXiv comment6 pages, 4 figures

References in corpus (5)

• Observation of resonance condensation of fermionic atom pairs
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• The gap amplification at a "shape resonance" in a superlattice of quantum stripes: a mechanism for high Tc
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Cited by in corpus (5)

• Resonant and crossover phenomena in a multiband superconductor tuning the chemical potential near a band edge
• Feshbach resonances and mesoscopic phase separation near a quantum critical point in multiband FeAs-based superconductors
• Shape resonance for the anisotropic superconducting gaps near a Lifshitz transition: the effect of electron hopping between layers
• Shape resonances in multi-condensate granular superconductors formed by networks of nanoscale-striped puddles
• Shape resonance at a Lifshitz transition for high temperature superconductivity in multiband superconductors