2018/06/20 by Debashis Das, Saswata Sahu, Dwipesh Majumder · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fractional quantum Hall effect #Physics #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Roton #Superfluid helium-4 #Superfluidity #cond-mat.mes-hall
paper · pdf · doi:10.1016/j.physb.2018.08.042
arxiv created 2018/06/20 · openalex created_date 2018/06/29 · openalex publication_date 2018/09/04 · arxiv updated 2018/10/17 · openalex updated_date 2026/08/05
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 ν=1/2. 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 ν=1/2 filling fraction in the rotating BEC shows no roton minimum. We have investigated this using composite fermion theory with the Poschl-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.