Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

The properties of transition metal compounds are largely determined by nontrivial interplay
of different degrees of freedom: charge, spin, lattice, and also orbital ones. Especially rich …

The presence of global conserved quantities in interacting systems generically leads to
diffusive transport at late times. Here, we show that systems conserving the dipole moment …

We introduce a new kind of foliated quantum field theory (FQFT) of gapped fracton orders in
the continuum. FQFT is defined on a manifold with a layered structure given by one or more …

The hallmark of highly frustrated systems is the presence of many states close in energy to
the ground state. Fluctuations between these states can preclude the emergence of any form …

Gauge theories are powerful theoretical physics tools that allow complex phenomena to be
reduced to simple principles and are used in both high-energy and condensed matter …

Classical spin liquids (CSL) lack long-range magnetic order and are characterized by an
extensive ground-state degeneracy. We propose a classification scheme of CSLs based on …

Dipole-conserving fluids serve as examples of kinematically constrained systems that can
be understood on the basis of symmetry. They are known to display various exotic features …

Fracton phases exhibit striking behavior which appears to render them beyond the standard
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …

We investigate how symmetry and topological order are coupled in the (2+ 1)–dimensional
ZN rank-2 toric code for general N, which is an exactly solvable point in the Higgs phase of a …