Fracton phases of matter
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 …
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
Ergodicity breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
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 …
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …
Fracton-elasticity duality
M Pretko, L Radzihovsky - Physical review letters, 2018 - APS
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 …
dimensional quantum crystal is dual to a fracton tensor gauge theory, providing a concrete …
Localization in fractonic random circuits
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 …
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …
Foliated quantum field theory of fracton order
K Slagle - Physical Review Letters, 2021 - APS
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 continuum. FQFT is defined on a manifold with a layered structure given by one or more …
Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory
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 …
is constrained. They have been discovered in several gapped models but a unifying …
Emergent phases of fractonic matter
Fractons are emergent particles which are immobile in isolation, but which can move
together in dipolar pairs or other small clusters. These exotic excitations naturally occur in …
together in dipolar pairs or other small clusters. These exotic excitations naturally occur in …
Symmetric tensor gauge theories on curved spaces
Fractons and other subdimensional particles are an exotic class of emergent quasi-particle
excitations with severely restricted mobility. A wide class of models featuring these quasi …
excitations with severely restricted mobility. A wide class of models featuring these quasi …