Centro de Excelencia Severo Ochoa
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Superconductivity results from an instability of the Fermi surface — contour of poles of the single particle propagator — to an infinitesimally small attractive inter-particle attraction. In this talk, I will instead discuss the analogous problem on a model Luttinger Surface — contour of zeros of the Green function. Unlike a Fermi surface, in the presence of an attractive potential, the model exhibits a quantum phase transition from a non-Fermi liquid to a superconducting state. Crucially, pair-fluctuations close to the transition resemble well-studied models with gravity duals such as SYK. I will discuss implications of this result to microscopic models describing Mott physics.
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