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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U(2) CSGL theories are built for FQHE hierarchies, reproducing all known filling fractions and uniquely fixing topological orders while revealing a particle-hole symmetry between sequences.
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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$\mathrm{U}(2)$ Chern-Simons-Ginzburg-Landau Theory of Fractional Quantum Hall Hierarchies
U(2) CSGL theories are built for FQHE hierarchies, reproducing all known filling fractions and uniquely fixing topological orders while revealing a particle-hole symmetry between sequences.