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Interesting Generalizations of the Sachdev-Ye-Kitaev non-Fermi liquid

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Date and time Oct 16, 2019
from 12:10 PM to 01:00 PM
Location 60 St. George Street, MP 606
Host Arun Paramekanti

Arijit Haldar

Department of Physics, University of Toronto

Some of the most interesting phenomena, both from applied and fundamental points of view, in condensed matter systems such as high-temperature superconductivity, heavy fermion physics, etc. arise in a parent non-Fermi liquid background. Although a non-Fermi liquid (NFL) phase has metallic character, i.e. they are gapless, it is very different from typical metals in that the electronic excitations are not particle-like (no quasiparticles). It is for this reason non-Fermi liquid phases are also referred to as Strange metals. The lack of quasiparticles has lead to these phases eluding a clear theoretical description. In this context, a recently revived model called the Sachdev-Ye-Kitaev (SYK) model has emerged as a new paradigm in condensed matter physics, to address such quasiparticle-less systems. The SYK model has a strange-metallic phase, that lives in zero spatial dimensions, and can be solved analytically in the large-N limit. Further, it has also been shown to have interesting connections with black-hole physics. In this talk, after providing a brief introduction to the canonical SYK model, I will talk about two interesting variations of the model. In particular, I shall show that new electronic phases like Strange-Half Metals (SHMs) and Mott Insulators (MIs) can be obtained from the SYK NFL. Additionally, I shall also discuss the construction of a higher-dimensional generalization of the SYK model and demonstrate that a new class of lattice non-Fermi liquids, different than the SYK model, emerge from such a construction.

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