English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Three-dimensional (3D) gapped topological phases with fractional excitationsare divided into two subclasses: one has topological order with point-like andloop-like excitations fully mobile in the 3D space, and the other has fractonorder with point-like excitations constrained in lower-dimensional subspaces.These exotic phases are often studied by exactly solvable Hamiltonians made ofcommuting projectors, which, however, are not capable of describing thoseexhibiting surface states with gapless chiral dispersion. Here we introduce asystematic way, based on cellular construction recently proposed for 3Dtopological phases, to construct another type of exactly solvable models interms of coupled quantum wires with given inputs of cellular structure,two-dimensional Abelian topological order, and their gapped interfaces. We showthat our models can describe both 3D topological and fracton orders (and eventheir hybrid) and study their universal properties such as quasiparticlestatistics and topological ground-state degeneracy. We also apply thisconstruction to two-dimensional coupled-wire models with ordinary topologicalorders and translation-symmetry-enriched topological orders. Our results pavethe way for effective quantum field theory descriptions or microscopic modelrealizations of fracton orders with chiral gapless surface states.

Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders