Roton minimum at filled fractional quantum Hall effect of Bose particles
arXiv:1806.07769 · doi:10.1016/j.physb.2018.08.042
Abstract
We have studied the collective excitation of fractional quantum Hall effect (FQHE) in the rotating Bose-Einstein condensate (BEC) using CF theory at the filling fraction . The roton type of excitation in the FQHE of electron system is established over the years for all the filling fraction, whereas the collective excitation at filling fraction in the rotating BEC shows no roton minimum. We have investigated this using composite fermion theory with the Pschl-Teller interaction potential between the particles. We have seen that the long range interaction will give the roton, whereas short range interaction gives no roton minimum.
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