From the Sachdev-Ye-Kitaev Model to a Universal Theory of Strange Metals

Explore the groundbreaking Sachdev-Ye-Kitaev (SYK) model and its implications in this 1-hour 10-minute lecture. Delve into the solvable theory of entangled many-particle quantum states without quasiparticle excitations in zero spatial dimensions. Discover how insights from the SYK model have led to a universal theory of quantum phase transitions in metals within two spatial dimensions, particularly in the presence of impurity-induced disorder. Examine the successful application of this theory in describing the strange metal state observed in various correlated electron compounds, including copper-oxide based high-temperature superconductors. Uncover the surprising connection between the SYK model and the quantum theory of black holes, leading to the determination of the universal structure of low energy density of states in charged black holes.