Emergent kinetics and fractionalized charge in 1d spin-orbit coupled flatband optical lattices. Lin, F., Zhang, C., & Scarola, V., W. Physical Review Letters, 112(11):110404, 3, 2014.
Emergent kinetics and fractionalized charge in 1d spin-orbit coupled flatband optical lattices [pdf]Paper  Emergent kinetics and fractionalized charge in 1d spin-orbit coupled flatband optical lattices [link]Website  doi  abstract   bibtex   4 downloads  
Recent ultracold atomic gas experiments implementing synthetic spin-orbit coupling allow access to flatbands that emphasize interactions. We model spin-orbit coupled fermions in a one-dimensional flatband optical lattice. We introduce an effective Luttinger-liquid theory to show that interactions generate collective excitations with emergent kinetics and fractionalized charge, analogous to properties found in the two-dimensional fractional quantum Hall regime. Observation of these excitations would provide an important platform for exploring exotic quantum states derived solely from interactions.

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