Talk page

Title:
SYK Model as a paradigm of strongly correlated quantum matter

Speaker:
Alexander Altland

Abstract:
In the last few years SYK model has become a paradigm of strong correlations and many body quantum chaos. The model displays various characteristics of non Fermi liquid quantum matter, including the absence of a Fermi surface, strange metallic transport behavior, and anomalous power laws in correlation functions. Remarkably, all these features are amenable to straightforward analytic description. The model owes this simplicity to the presence of a huge degree of symmetry, which strongly confines the structure of its effective theory. In this talk, I will argue that these features make the SYK model a perfect ‘Lego brick’ for the modeling of strong correlations. Starting with a pedagogical introduction of the single SYK unit, we will demonstrate that the coupling to networks leads to phase diagrams which display various features seen in realistic strongly correlated systems. One may hope that this design principle opens a novel avenue to the understanding of matter beyond the Landau quasiparticle paradigm.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=4257

Workshop:
Simons- Program: Universality and ergodicity in quantum many-body systems