Seminar

Strong interactions between electrons gives rise to many fascinating emergent phases
of matter. In certain situations it may result in a complete breakdown of quasiparticle picture leading to
anomalous behavior and stark deviations from conventional theories. We will discuss how random models
in the Sachdev-Ye-Kitaev (SYK) class have enhanced our understanding of such entangled phases of matter.
As an important example, we will present a SYK-type random model of electrons for finite hole doping
away from a Mott insulator. Using renormalization-group technique I will show that it hosts a deconfined
critical point accompanied with a sharp change in charge-carrier density. In this approach we can calculate
some exponents exactly. This model successfully captures the key aspects of high-Tc cuprates. I will also
briefly discuss other examples such as an anomalous metal found in disordered superconducting films.