Speaker
Aavishkar Patel
(Harvard)
Description
Despite much theoretical effort, there is no complete theory
of the “strange” metal phase of the high temperature
superconductors, and its linear-in-temperature resistivity.
This phase is believed to be a strongly-interacting metallic
phase of matter without fermionic quasiparticles, and is
virtually impossible to model accurately using traditional
perturbative field-theoretic techniques. Recently, progress
has been made using large-N techniques based on the
solvable Sachdev-Ye-Kitaev (SYK) model, which do not
involve expanding about any weakly-coupled limit. I will
describe constructions of solvable models of strange
metals based on SYK-like large-N limits, which can
reproduce
some of the experimentally observed features of strange
metals and adjoining phases. These models, and further
extensions, could possibly pave the way to developing a
controlled theoretical understanding of the essential
building blocks of the electronic state in correlated-electron
superconductors near optimal doping.
