Topological states of quantum matter have attracted great attention in condensed matter
physics and materials science. The study of time-reversal-invariant topological states in …

We propose a particle-hole symmetric theory of the Fermi-liquid ground state of a half-filled
Landau level. This theory should be applicable for a Dirac fermion in the magnetic field at …

In insulating crystals, it was previously shown that defects with two fewer dimensions than
the bulk can bind topological electronic states. We here further extend the classification of …

Materials whose gapless surface states are protected by crystal symmetries include mirror
topological crystalline insulators and nonsymmorphic hourglass insulators. There exists only …

A three-dimensional electron topological insulator (ETI) is a phase of matter protected by
particle-number conservation and time-reversal symmetry. It was previously believed that …

Half-quantized Hall conductance is characteristic of quantum systems with the parity
anomaly. Here, we investigate topological and transport properties of a class of parity …

The dynamical axion field is a new state of quantum matter where the magnetoelectric
response couples strongly to its low-energy magnetic fluctuations. It is fundamentally …

We study bosonization in 2+ 1 dimensions using mirror symmetry, a duality that relates pairs
of supersymmetric theories. Upon breaking supersymmetry in a controlled way, we …

We give a pedagogical introduction to quantum anomalies, how they are calculated using
various methods, and why they are important in condensed matter theory. We discuss axial …

In recent theoretical and experimental investigations, researchers have linked the low-
energy field theory of a Weyl semimetal gapped with a charge-density wave (CDW) to high …