Braiding Statistics and Congruent Invariance of Twist Defects in Bosonic Bilayer Fractional Quantum Hall States

Understand

We describe the braiding statistics of topological twist defects in abelian bosonic bilayer (mmn) fractional quantum Hall (FQH) states, which reduce to the Z_n toric code when m=0.

• Twist defects carry non-abelian fractional Majorana-like characteristics.
• We propose local statistical measurements that distinguish the fractional charge, or species, of a defect-quasiparticle composite.
• Degenerate ground states and basis transformations of a multi-defect system are characterized by a consistent set of fusion properties.