A fluid of mobile anyons may arise naturally when a Fractional Quantum Anomalous Hall (FQAH) state is doped. Motivated by recent experiments on twisted MoTe2, we study metallic phases obtained by doping the 2/3 FQAH state. We propose that the high-resistivity metal observed adjacent to this FQAH state is a Z3 Orthogonal Metal: a non-Fermi liquid with sharp charge 1/3 fermionic quasiparticles coupled to a (twisted) discrete Z3 gauge field but with no sharp electronic quasiparticle. For a dilute gas of three species of charge-1/3 anyons with π/3 statistics, we construct two U(3) symmetric Z3 Orthogonal Metals, distinguished by whether the gapless fermions transform as SU(3) triplets or singlets. We show that these states naturally yield large electrical resistivities even when the fractionalized quasiparticles are in a good metallic regime. Pairing of the charge-1/3 fermions produces an ordinary charge-2e superconductor, smoothly connected to a BCS state but obtained through an intrinsically fractionalized normal state. We discuss experimental signatures of the idea that the normal metallic state in the lightly doped 2/3 state may have fractionalized charge carriers.
Zoom Meeting: https://icts-res-in.zoom.us/j/95754223224?pwd=sIfmaQ2dYXDc5dQfoUDuck7fv5nOKU.1
Meeting ID: 957 5422 3224
Passcode: 082652