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Friday, September 1, 2023 at 3:30pm to 4:30pm
142 Sciences Drive, Physical Sciences Building Rm 403 142 Sciences Dr.
Large N theories of critical Fermi surfaces and Strange Metal
The problem of a Fermi surface coupled to a critical bosonic fluctuation has ubiquitously appeared in the study of strongly correlated systems such as half-filled Landau level, metallic quantum critical points, gapless quantum spin liquids and strange metals. In this talk, I will describe our approach to the problem using inspirations from the Sachdev-Ye-Kitaev model. By making the Yukawa couplings between the fermions and the bosons random variables in N flavor indices, we obtain a controlled large N expansion whose saddle point resembles the Eliashberg equations. Due to momentum conservation, this translational invariant theory has an infinite DC conductivity. We further show that a generic strange metallic behavior can arise from disorder in the fermion-boson Yukawa coupling.