Motivated by variety of realizations of the compact Lifshitz model, I predict and explore
properties of its three phases, study its phase transitions and derive its fractonic gauge dual …

We consider a system of strongly interacting bosons in two dimensions with moat band
dispersion which supports an infinitely degenerate energy minimum along a closed contour …

Spiral spin liquids possess a subextensively degenerate ground-state manifold, represented
by a continuum of energy minima in reciprocal space. Since a small change of the spiral …

We review a burgeoning field of" fractons"--a class of models where quasi-particles are
strictly immobile or display restricted mobility that can be understood through generalized …

The burgeoning field of “fractons,” a class of models where quasiparticles are strictly
immobile or display restricted mobility that can be understood through generalized …

A unidirectional “density” wave order in an otherwise isotropic environment is guaranteed to
display a smecticlike Goldstone mode. Examples of such soft states include conventional …

Based on the dynamical Gutzwiller mean-field theory, we investigate the ground states of
interacting bosons on a triangular ladder lattice, which is comprised of three legs, and in the …

We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping
a J 1-J 2 Heisenberg model at 45∘ around a cylinder. Using Schwinger boson theory and …

A codimension-two spiral spin-liquid is a correlated paramagnetic state with one-
dimensional ground state degeneracy hosted within a three-dimensional lattice. Here, via …

I review a class of novel ordered states of “critical matter”, that exhibit strongly fluctuating
universal power-law orders, controlled by an infrared attractive, non-Gaussian fixed point. I …