Speaker: Donghae Seo (KAIST)
Title:
Wavefunctions for Anyon Superconductors
Abstract:
Anyon superconductivity arises from the condensation of mobile anyons rather than from a conventional Cooper instability, yet a systematic wavefunction description remains lacking. We develop a hierarchy-wavefunction construction for superconducting states derived from parent topological orders and identify their off-diagonal long-range order, condensate charge, chiral central charge, and residual topological order using the plasma analogy and topological field theories. We construct Abelian and non-Abelian examples descending from the semion state, a ν = 2/3 hierarchy state, the ν = 1/3 Laughlin state, the ν = 1 integer quantum Hall state, and the Pfaffian state. Remarkably, in the semion case, the superconducting many-semion wavefunction is equivalent to a state of fermionized anyons filling two effective Landau levels, recovering Laughlin’s original construction of a semion superconductor. Finally, we show that hierarchy wavefunctions emerge naturally in the dilute, long-distance limit of the anyon-Hilbert-space formulation, which applies to ideal Chern bands and moiré bands of twisted bilayer MoTe₂. Our results establish a unified wavefunction-level framework linking anyon condensation, superconducting order, and topological field theory.