Type-II fractons from coupled spin chains and layers
Dominic J. Williamson, Trithep Devakul
Abstract
We describe a construction of topological orders from coupled lower-dimensional symmetry-protected topological orders, which is closely related to gauging a subsystem symmetry. Our construction yields both conventional topological orders and exotic fracton topological orders of type-I and type-II. In particular, we find a coupled spin-chain construction of Haah's cubic code, and a coupled-layer construction of Yoshida's fractal spin liquids.
Topics & Concepts
FractonType (biology)FractalSpin (aerodynamics)Symmetry (geometry)PhysicsTopology (electrical circuits)Topological defectTheoretical physicsChain (unit)Condensed matter physicsQuantum mechanicsMathematicsGeometryCombinatoricsGeologyPaleontologyThermodynamicsMathematical analysisQuantum many-body systemsQuantum Computing Algorithms and ArchitectureTheoretical and Computational Physics