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 …

Non-Fermi liquids are unconventional metals whose physical properties deviate qualitatively
from those of noninteracting fermions due to strong quantum fluctuations near Fermi …

We construct examples of translationally invariant solvable models of strongly correlated
metals, composed of lattices of Sachdev-Ye-Kitaev dots with identical local interactions …

We devise a dimensional regularization scheme for quantum field theories with a Fermi
surface to study scaling behavior of non-Fermi liquid states in a controlled approximation …

Although the concept of the Luttinger liquid (LL) describing a one-dimensional (1D)
interacting fermion system, collapses at higher dimensions, it has been proposed to be …

We study the quantum phase transition upon varying the fermionic density ν in a solvable
model with random Yukawa interactions between N bosons and M fermions, dubbed the …

We develop a variant of the density matrix renormalization group (DMRG) algorithm for two-
dimensional cylinders that uses a real space representation in the direction along the axis of …

We study the effect of electron interaction in an electronic system with a high-order Van
Hove singularity, where the density of states shows a power-law divergence. Owing to scale …

Unconventional metallic states which do not support well-defined single-particle excitations
can arise near quantum phase transitions as strong quantum fluctuations of incipient order …

We introduce generic bosonic models exemplifying that chiral Meissner currents can persist
in insulating phases of matter. We first consider interacting bosons on a two-leg ladder. The …