ICTP Seminar Series in Condensed Matter and Statistical Physics 'SYK Model with Quadratic Perturbations: The Route to a Non-Fermi-Liquid'
Starts 20 Sep 2018 11:00
Ends 20 Sep 2018 12:00
Central European Time
Leonardo Building - Luigi Stasi Seminar Room
We study stability of the SYK4 model with a large but finite number of fermions N with respect to a perturbation, quadratic in fermionic operators. We develop analytic perturbation theory in the amplitude of the SYK2 perturbation and demonstrate stability of the SYK4
infra-red asymptotic behavior characterized by a Green function G(t) µ 1/t3/2, with respect to weak perturbation. This result is supported by exact numerical diagornalization. Our results open the way to build a theory of non-Fermi-liquid states of strongly interacting fermions.