Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

We analyze the “higher rank” gauge theories that capture some of the phenomenology of the
fracton order. It is shown that these theories lose gauge invariance when an arbitrarily weak …

We present a bimetric low-energy effective theory of fractional quantum Hall (FQH) states
that describes the topological properties and a gapped collective excitation, known as the …

The low-energy physics of fractional quantum Hall (FQH) states—a paradigm of strongly
correlated topological phases of matter—to a large extent is captured by weakly interacting …

Momentum transport is anomalous in chiral p+ ip superfluids and superconductors in the
presence of textures and superflow. Using the gradient expansion of the semiclassical …

Hall viscosity is a nondissipative response function describing momentum transport in two-
dimensional systems with broken parity. It is quantized in the quantum Hall regime, and …

Inspired by recent experiments on graphene, we examine the nondissipative viscoelastic
response of anisotropic two-dimensional quantum systems. We pay particular attention to …

Two-dimensional electron gases in strong magnetic fields provide a canonical platform for
realizing a variety of electronic ordering phenomena. Here we review the physics of one …

We numerically investigate the guiding center structure factors of several states in the Read-
Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization …

A bstract We present a three dimensional non-relativistic model of gravity that is invariant
under the central extension of the symmetry group that leaves the recently constructed …