The dynamical pairing susceptibility in a quantum-critical metal remains finite and positive exactly at the superconducting instability for a constant source, then becomes a non-unique function of a free parameter below it.
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Non-BCS behavior of the pairing susceptibility near the onset of superconductivity in a quantum-critical metal
The dynamical pairing susceptibility in a quantum-critical metal remains finite and positive exactly at the superconducting instability for a constant source, then becomes a non-unique function of a free parameter below it.