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.
Non-Abelian topological superconductivity from melting Abelian fractional Chern insulators
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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 $\nu = p/(2p+1)$.
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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.
Tunneling probes can measure anyon dispersion via quasiparticle interference patterns and continuum thresholds in fractional Chern insulators.
citing papers explorer
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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.
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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.
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Measuring anyon dispersion with tunneling probes
Tunneling probes can measure anyon dispersion via quasiparticle interference patterns and continuum thresholds in fractional Chern insulators.