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 …

Flat-band materials such as the kagome metals or moiré superlattices are of intense current
interest. Flat bands can result from the electron motion on numerous (special) lattices and …

High-T c cuprate strange metals are characterized by a DC resistivity that scales linearly with
T from the onset of superconductivity to the crystal melting temperature, characterized by a …

A bstract We study\(\mathcal {N}\)= 2 supersymmetric Sachdev-Ye-Kitaev (SYK) models with
com-plex fermions at non-zero background charge. Motivated by multi-charge …

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 …

The combination of optical tweezer arrays with strong interactions—via dipole exchange of
molecules and Van der Waals interactions of Rydberg atoms—has opened the door for the …

We construct a complete numerically exact solution of a mean-field quantum spin glass
model—the transverse field Sherrington-Kirkpatrick model—by implementing a continuous …

This paper is dedicated to the memory of Professor K. Alex Müller. I present a few remarks
about my interactions with Alex over the years. Then I present a very brief summary of recent …

Many-body systems which saturate the quantum bound on chaos are attracting interest
across a wide range of fields. Notable examples include the Sachdev-Ye-Kitaev model and …

We study a class of SYK models with $\mathcal {N}= 2$ supersymmetry, described by $ N $
fermions in chiral Fermi multiplets, as well as $\alpha N $ first-order bosons in chiral …