Planar p-String Condensation: Chiral Fracton Phases from Fractional Quantum Hall Layers and Beyond

Understand

We present a coupled-wire construction of a model with chiral fracton topological order.

• The model combines the known construction of $\nu=1/m$ Laughlin fractional quantum Hall states with a planar p-string condensation mechanism.
• The bulk of the model supports gapped immobile fracton excitations that generate a hierarchy of mobile composite excitations.
• Open boundaries of the model are chiral and gapless, and can be used to demonstrate a fractional quantized Hall conductance where fracton composites act as charge carriers in the bulk.