Emergent kinetics and fractionalized charge in 1D spin-orbit coupled flatband optical lattices.
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.
Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA.
Fei
F
Lin
Department of Physics, The University of Texas at Dallas, Richardson, Texas 75080, USA.
Chuanwei
C
Zhang
Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA.
V W
VW
Scarola