BCS to incoherent superconductivity crossovers in the Yukawa-SYK model on a lattice

2023/02/25 by Davide Valentinis, Valentinis, Davide, Gian Andrea Inkof +3
Physics and Astronomy · Materials Science · #Physics of Superconductivity and Magnetism #Iron-based superconductors research #Rare-earth and actinide compounds

paper · pdf · doi:10.48550/arxiv.2302.13138

Abstract

We provide a quantitative and controlled analysis of the phase diagram of the the Yukawa-SYK model on a lattice, in the normal and superconducting states. We analyze the entire crossover from BCS/weak-coupling to Eliashberg/strong coupling superconductivity, as a function of fermion-boson interaction strength and hopping parameter. Cooper pairs of sharp Fermi-liquid quasiparticles at weak coupling evolve into pairing of fully incoherent fermions in the non-Fermi liquid regime. The crossovers leave observable traces in the critical temperature, the zero-temperature and zero-energy gap, the entropy, and the phase stiffness.

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