This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

Strange metals—ubiquitous in correlated quantum materials—transport electrical charge at
low temperatures but not by the individual electronic quasiparticle excitations, which carry …

The universality of the strange metal phase in many quantum materials is often attributed to
the presence of a quantum critical point (QCP), a zero-temperature phase transition ruled by …

We summarize the recent developments in the model design and computation for a few
representative quantum many-body systems, encompassing quantum critical metals beyond …

We present the mean field solution of the quantum and classical Heisenberg spin glasses,
using the combination of a high precision numerical solution of the Parisi full replica …

We determine the low-energy spectrum and Parisi replica-symmetry-breaking function for
the spin-glass phase of the quantum Ising model with infinite-range random exchange …

Anomalous metallic properties are often observed in the proximity of quantum critical points,
with violation of the Fermi Liquid paradigm. We propose a scenario where, near the …

We investigate a model of electrons with random and all-to-all hopping and spin exchange
interactions, with a constraint of no double occupancy. The model is studied in a Sachdev …

We present exact diagonalization results on finite clusters of at-J model of spin-1/2 electrons
with random all-to-all hopping and exchange interactions. We argue that such random …

We study the nonequilibrium quench dynamics of a mixed Sachdev-Ye-Kitaev model, with
competing two-body random interactions leading to maximally chaotic non-Fermi liquid …