Recently, two-dimensional Dirac materials patterned with a superlattice structure have
emerged as a rich platform for exploring correlated and topological quantum matter. In this …

Motivated by the appearance of a “reflection symmetry” in transport experiments and the
absence of statistical periodicity in relativistic quantum field theories, we propose a series of …

Recent experimental observations of the fractional quantum anomalous Hall effect in
spin/valley polarized moir\'{e} systems call for a more expansive theoretical exploration of …

The interplay of interactions and disorder in two-dimensional (2D) electron systems has
actively been studied for decades. The paradigmatic approach involves starting with a clean …

We consider a family of quantum loop models in 2+ 1 spacetime dimensions with marginally
long-ranged and statistical interactions mediated by a U (1) gauge field, both purely in 2+ 1 …

It is an important open problem to understand the landscape of non-Abelian fractional
quantum Hall phases which can be obtained starting from physically motivated theories of …

An important yet largely unsolved problem in the statistical mechanics of disordered
quantum systems is to understand how quenched disorder affects quantum phase …

A bstract We provide a lattice demonstration of (2+ 1)-dimensional field theory dualities
relating free Dirac or Majorana fermions to strongly-interacting bosonic Chern-Simons …

A bstract We present a non-perturbative framework for incorporating gauge field fluctuations
into effective actions of QED 3 in the infrared using fermionic particle-vortex duality. This …

We study the stability of the Wilson-Fisher fixed point of the quantum O (2 N) vector model to
quenched disorder in the large-N limit. While a random mass is strongly relevant at the …