We describe recent progress in our understanding of the interplay between interactions,
symmetry, and topology in states of quantum matter. We focus on a minimal generalization …

Topological insulators have become one of the most active research areas in condensed
matter physics. This article reviews progress on the topic of electronic correlation effects in …

We construct a two-dimensional (2D) quantum spin model that realizes an Ising paramagnet
with gapless edge modes protected by Ising symmetry. This model provides an example of a …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

We discuss physical properties of “integer” topological phases of bosons in D= 3+ 1
dimensions, protected by internal symmetries like time reversal and/or charge conservation …

We present a pedagogical review of the physics of fractional Chern insulators with a
particular focus on the connection to the fractional quantum Hall effect. While the latter …

We study the non-Abelian statistics characterizing systems where counterpropagating
gapless modes on the edges of fractional quantum Hall states are gapped by proximity …

We study the superconducting proximity effect on the helical edge states of time-reversal-
symmetric fractional topological insulators (FTI). The Cooper pairing of physical electrons …

We formulate a theory of non-Abelian fractional quantum Hall states by considering an
anisotropic system consisting of coupled, interacting one-dimensional wires. We show that …

We study several aspects of the realization of global symmetries in highly entangled phases
of quantum matter. Examples include gapped topological ordered phases, gapless quantum …