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We derive the low-energy theory of semi-quantized quantum Hall states, arecently observed class of gapless bilayer fractional quantum Hall states. Ourtheory shows these states to feature gapless quasiparticles of fractionalcharge coupled to an emergent Chern-Simons gauge field. These gaplessquasiparticles can be understood as composites of electrons and Laughlin-likequasiparticles. We show that semi-quantized quantum Hall states exhibit perfectinterlayer drag, host non-Fermi liquid physics, and serve as versatile parentstates for fully gapped topological phases hosting anyonic excitations.

Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states