Superconductivity from doping a fractional Chern insulator
This text mentions work from 2024 on. Those parts were partly written without a live literature search and have not been checked by an editor yet.
In plain words
Adding a few extra electrons to a fractional state may produce a superconductor whose carriers are anyons, and the superconductivity seen next to fractional states in twisted $\mathrm{MoTe_2}$ could be the first example.
Precise statement
Theory (Z. D. Shi and T. Senthil, arXiv:2409.20567, 2024) proposed that doping a $\nu = 2/3$ fractional Chern insulator can yield a chiral topological superconductor from anyon pairing. Determine whether the superconductivity observed near FQAH states in twisted $\mathrm{MoTe_2}$ (2025) is of this type, using its predicted signatures: a specific chiral central charge, a charge-$2e$ condensate breaking time reversal, and a $T_{\mathrm{c}}$ and superfluid stiffness that grow from zero with doping away from the fractional state. An answer is yes or no with the matching signatures.
What would settle it
Thermal Hall and edge-mode measurements on the superconductor compared with anyon-superconductor predictions, plus the doping dependence of superfluid stiffness.
Parent problems
- Special case of Pairing state of superconductivity next to fractional anomalous Hall states · open · from revision 1 The parent was revised since revision 1: it now states another question.
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