2019/08/31 by Yohei Fuji · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Condensed matter physics #Coupling (piping) #Fracton #Geometry #Graphene #Honeycomb #Lattice (music) #Materials science #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Quasiparticle #Silicene #Square lattice #Stacking #Superconductivity #Theoretical physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.100.235115
published as Phys. Rev. B 100, 235115 (2019) · 15 pages, 12 figures; published version
openalex publication_date 2019/12/10 · arxiv created 2019/12/18 · arxiv updated 2019/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a coupled-layer construction of a class of fracton topological orders in three spatial dimensions, which has no immobile excitations but is characterized by single quasiparticle excitations constrained in one-dimensional subspaces and dipole excitations mobile in two-dimensional subspaces. The simplest model is obtained by stacking and coupling layers of the two-dimensional toric codes on the square lattice and can be exactly solved in the strong-coupling limit. The resulting subdimensional excitations are understood as a consequence of anyon pair condensation induced by the coupling between layers. We also present generalizations of the construction for layers of the Kitaev-honeycomb models, the ZN toric codes, and the toric codes and the doubled semion models on the honeycomb lattice.