Non-Abelian topological superconductivity from melting Abelian fractional Chern insulators
read the original abstract
Fractional Chern insulators (FCI) are exotic phases of matter realized at partial filling of a Chern band that host fractionally charged anyon excitations. Recent numerical studies in several microscopic models reveal that increasing the bandwidth in an FCI can drive a direct transition into a charge-2e superconductor rather than a conventional Fermi liquid. Motivated by this surprising observation, we propose a theoretical framework that captures the intertwinement between superconductivity and fractionalization in a lattice setting. Leveraging the duality between three field-theoretic descriptions of the Jain topological order, we find that bandwidth tuning can drive a single parent FCI at $\nu = 2/3$ into five different superconductors, some of which are intrinsically non-Abelian and support Majorana zero modes. Our results reveal a rich landscape of exotic superconductors with no normal state Fermi surface and predict novel higher-charge superconductors coexisting with neutral non-Abelian topological order at more general filling fractions $\nu = p/(2p+1)$.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
Dispersion of Anyon Bloch Bands
Anyon Bloch bands in ideal FCIs have m-fold degeneracy in the magnetic BZ and bandwidth controlled by quantum geometry non-uniformity, with higher harmonics strongly suppressing dispersion through emergent symmetries.
-
Topological superconductivity from Abelian fractional Chern insulators
U(3) infrared parton theory unifies a ν=1/3 FCI with topological superconductors (SC* preserving U(1)_3, chiral TSC with c_-=3/2, strong-pairing with c_-=3) and a σ_xy=0 CDW.
-
Measuring anyon dispersion with tunneling probes
Tunneling probes can measure anyon dispersion via quasiparticle interference patterns and continuum thresholds in fractional Chern insulators.
-
Superconductivity and non-Fermi liquid metals in a charge-1/3 anyon fluid
Doping a fractional Chern insulator yields an anyon fluid that can form an SC* superconductor with residual Z2 order or a non-Fermi liquid Z3 orthogonal metal.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.