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 …
Exotic symmetries, duality, and fractons in 2+ 1-dimensional quantum field theory
N Seiberg, SH Shao - SciPost Physics, 2021 - scipost.org
We discuss nonstandard continuum quantum field theories in 2+ 1 dimensions. They exhibit
exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to …
exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to …
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 …
Topological defect networks for fractons of all types
Fracton phases exhibit striking behavior which appears to render them beyond the standard
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …
Classification of dipolar symmetry-protected topological phases: Matrix product states, stabilizer Hamiltonians, and finite tensor gauge theories
HT Lam - Physical Review B, 2024 - APS
We classify one-dimensional symmetry-protected topological (SPT) phases protected by
dipole symmetries. A dipole symmetry comprises two sets of symmetry generators: charge …
dipole symmetries. A dipole symmetry comprises two sets of symmetry generators: charge …
Hierarchical hydrodynamics in long-range multipole-conserving systems
This work investigates the out-of-equilibrium dynamics of dipole and higher-moment-
conserving systems with long-range interactions, drawing inspiration from trapped ion …
conserving systems with long-range interactions, drawing inspiration from trapped ion …
Lieb-Schultz-Mattis anomalies and web of dualities induced by gauging in quantum spin chains
Abstract Lieb-Schultz-Mattis (LSM) theorems impose non-perturbative constraints on the
zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be …
zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be …
Intrinsic symmetry-protected topological mixed state from modulated symmetries and hierarchical structure of boundary anomaly
Y You, M Oshikawa - Physical Review B, 2024 - APS
We introduce a class of intrinsic symmetry-protected topological mixed state (mSPT) in open
quantum systems that feature modulated symmetries, such as dipole and subsystem …
quantum systems that feature modulated symmetries, such as dipole and subsystem …
Higher-form gauge symmetries in multipole topological phases
O Dubinkin, A Rasmussen, TL Hughes - Annals of Physics, 2020 - Elsevier
In this article we study field-theoretical aspects of multipolar topological insulators. Previous
research has shown that such systems naturally couple to higher-rank tensor gauge fields …
research has shown that such systems naturally couple to higher-rank tensor gauge fields …
Filling constraints on translation invariant dipole conserving systems
Systems with conserved dipole moment have drawn considerable interest in light of their
realization in recent experiments on tilted optical lattices. An important issue regarding such …
realization in recent experiments on tilted optical lattices. An important issue regarding such …