In the Holstein model, the superconducting collective mode frequency evolves from about 2Δ_P in the BCS regime to the soft phonon in the crossover and to the superfluid stiffness in the BEC regime, with weight proportional to the pairing gap.
Amplitude/higgs modes in condensed matter physics,
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Collective mode across the BCS-BEC crossover in Holstein model
In the Holstein model, the superconducting collective mode frequency evolves from about 2Δ_P in the BCS regime to the soft phonon in the crossover and to the superfluid stiffness in the BEC regime, with weight proportional to the pairing gap.