What are topological phases of matter? First, they are phases of matter at zero temperature.
Second, they have a nonzero energy gap for the excitations above the ground state. Third …

In the recent years, the thermal Hall transport has risen as an important diagnosis of the
physical properties of the elementary excitations in various quantum materials, especially …

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 …

The recent discovery of the Mott insulating and superconducting phases in twisted bilayer
graphene has generated tremendous research interest. Here, we develop a weak coupling …

A (2+ 1)-dimensional gapped quantum many-body system can have a topologically
protected energy current at its edge. The magnitude of this current is determined entirely by …

The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …

We study the geometric response of three-dimensional non-Hermitian crystalline systems
with nontrivial point-gap topology. For systems with fourfold rotation symmetry, we show that …

We present effective field theories for dipole symmetric topological matters that can be
described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory …

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 …

In this work, we present observable consequences of a parity-violating odd-viscosity term in
incompressible 2+ 1D hydrodynamics. For boundary conditions depending on the velocity …