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 …

Fracton phases constitute a new class of quantum state of matter. They are characterized by
excitations that exhibit restricted mobility, being either immobile under local Hamiltonian …

We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

Motivated by recent studies of fractons, we demonstrate that elasticity theory of a two-
dimensional quantum crystal is dual to a fracton tensor gauge theory, providing a concrete …

In this work, we introduce a new type of topological order that is protected by subsystem
symmetries that act on lower-dimensional subsets of lattice many-body system, eg, along …

We study the spreading of initially local operators under unitary time evolution in a one-
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …

Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in
three spatial dimensions, contain some “topological” features: They support fractional bulk …

Based on several previous examples, we summarize explicitly the general procedure to
gauge models with subsystem symmetries, which are symmetries with generators that have …

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 …

Fractons are gapped pointlike excitations in d= 3 topological ordered phases whose motion
is constrained. They have been discovered in several gapped models but a unifying …