Symmetry fractionalization describes the fascinating phenomena that excitations in a 2D
topological system can transform under symmetry in a fractional way. For example in …

We consider symmetry-protected topological (SPT) phases with crystalline point group
symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be …

We introduce a class of gapped three-dimensional models, dubbed “cage-net fracton
models,” which host immobile fracton excitations in addition to non-Abelian particles with …

We study novel three-dimensional gapped quantum phases of matter which support
quasiparticles with restricted mobility, including immobile “fracton” excitations. So far, most …

Symmetry fractionalization is a ubiquitous feature of topologically ordered states that can be
used to classify different symmetry-enriched topological phases and reveal some of their …

Motivated by the recent discovery of higher-order topological insulators, we study their
counterparts in strongly interacting bosons:“higher-order symmetry-protected topological …

Motivated by recent numerical discovery of a gapped spin liquid phase in spin-1/2 triangular-
lattice J 1-J 2 Heisenberg model, we classify symmetric Z 2 spin liquids on triangular lattice …

The type-II terminated 1 T-TaS 2 surface of a three-dimensional 1 T-TaS 2 bulk material
realizes the effective spin-1/2 degree of freedom on each David star cluster with T 2=-1 such …

The interplay of symmetry and topological order leads to a variety of distinct phases of
matter, the symmetry enriched topological (SET) phases. Here we discuss physical …

Quantum spin systems are by now known to exhibit a large number of different classes of
spin liquid phases. By contrast, for classical Heisenberg models, only one kind of …