Global dipole symmetry, compact Lifshitz theory, tensor gauge theory, and fractons
We study field theories with global dipole symmetries and gauge dipole symmetries. The
famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in …
famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in …
Topological quantum chains protected by dipolar and other modulated symmetries
We investigate the physics of one-dimensional symmetry-protected topological (SPT)
phases protected by symmetries whose symmetry generators exhibit spatial modulation. We …
phases protected by symmetries whose symmetry generators exhibit spatial modulation. We …
(2+ 1)-dimensional compact Lifshitz theory, tensor gauge theory, and fractons
The (2+ 1)-dimensional continuum Lifshitz theory of a free compact scalar field plays a
prominent role in a variety of quantum systems in condensed matter physics and high …
prominent role in a variety of quantum systems in condensed matter physics and high …
Exact emergent higher-form symmetries in bosonic lattice models
Although condensed matter systems usually do not have higher-form symmetries, we show
that, unlike 0-form symmetry, higher-form symmetries can emerge as exact symmetries at …
that, unlike 0-form symmetry, higher-form symmetries can emerge as exact symmetries at …
Position-dependent excitations and UV/IR mixing in the rank-2 toric code and its low-energy effective field theory
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 …
ZN rank-2 toric code for general N, which is an exactly solvable point in the Higgs phase of a …
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 …
[HTML][HTML] Ground state degeneracy on torus in a family of ZN toric code
Topologically ordered phases in 2+ 1 dimensions are generally characterized by three
mutually related features: fractionalized (anyonic) excitations, topological entanglement …
mutually related features: fractionalized (anyonic) excitations, topological entanglement …
Aspects of rank-2 gauge theory in dimensions: Construction schemes, holonomies, and sublattice one-form symmetries
Rank-2 toric code (R2TC), a prototypical archetype of the discrete rank-2 symmetric gauge
theory, has properties that differ from those of the standard toric code. Specifically, it features …
theory, has properties that differ from those of the standard toric code. Specifically, it features …
Gapped lineon and fracton models on graphs
We introduce a ZN stabilizer code that can be defined on any spatial lattice of the form Γ× CL
z, where Γ is a general graph. We also present the low-energy limit of this stabilizer code as …
z, where Γ is a general graph. We also present the low-energy limit of this stabilizer code as …
Anyon condensation web and multipartite entanglement in two-dimensional modulated gauge theories
In this work we introduce an anyon condensation web that interconnects a broad class of
two-dimensional (2D) finite gauge theories with multipolar conservation laws at a …
two-dimensional (2D) finite gauge theories with multipolar conservation laws at a …