Renormalization vs Eliashberg: superconducting instability at quantum criticality
This event is part of the HET Seminar Series.
The phenomena of High Tc superconductivity is believed to be related to the proximity to underlying quantum criticality, which also gives rise to the Non-Fermi liquid normal state behavior. In this talk, we propose a solvable large N toy model, that enables one to study the interplay between superconducting instability and pair-breaking Non-fermi-liquid effects. We study the interplay both from the perturbative RG point of view; as well as from the non-perturbative Schwinger-dyson eliashberg equations. We show how both approaches yield the same phase structure. As a by-product, we also demonstrate the formal connection between the two methods.