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Recent ultracold atomic gas experiments implementing synthetic spin-orbitcoupling allow access to flatbands that emphasize interactions. We modelspin-orbit coupled fermions in a one-dimensional flatband optical lattice. Weintroduce an effective Luttinger-liquid theory to show that interactionsgenerate collective excitations with emergent kinetics and fractionalizedcharge, analogous to properties found in the two-dimensional fractional quantumHall regime. Observation of these excitations would provide an importantplatform for exploring exotic quantum states derived solely from interactions.

Emergent Kinetics and Fractionalized Charge in 1D Spin-Orbit Coupled Flatband Optical Lattices