Neutral collective excitation in fractional quantum Hall effect at Jain series

Das, Debashis; Indra, Moumita; Majumder, Dwipesh

doi:10.1016/j.ssc.2017.05.011

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2018

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Cited by 3 publications

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“…Lowest order collective excitation of almost all the filling fraction in the Jain series of positive flux attachment states has been studied earlier [26]. here, we have presented the results of quantum Monte-Carlo calculation of fundamental mode as well as HEM of excitation for four different series of filling fractions ν = 1/(2p + 1), 2/(4p + 1), 3/(6p + 1); 4/(8p + 1).…”

Section: Introductionmentioning

confidence: 86%

Higher energy modes of Fractional quantum Hall Effect

Majumder¹,

Indra²,

Das³

2018

JPTC

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Section: Introductionmentioning

confidence: 86%

Higher energy modes of Fractional quantum Hall Effect

Majumder¹,

Indra²,

Das³

2018

JPTC

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Roton minimum at ν = 1∕2 filled fractional quantum Hall effect of Bose particles

Das¹,

Sahu²,

Majumder³

2018

Physica B: Condensed Matter

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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 Pöschl-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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Study of partially polarized fractional quantum Hall states

2018

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We have studied the partially spin polarized fractional quantum Hall states using Chern Simon's theory and plasma picture proposed by Halperin. Using these theoretical techniques we have tried to find the stable polarized states of different filling fractions observed in experiments. We have calculated the ground state energies of those states and also pair correlation function. We have described the nature of the states by the behavior of this quantity. In our study, we have seen that the partially polarized states, which do not fit with Jain's composite fermion description are basically the mixed state of up-spin liquid phase and down-spin solid phase.

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Neutral collective excitation in fractional quantum Hall effect at Jain series

Cited by 3 publications

References 46 publications

Higher energy modes of Fractional quantum Hall Effect

Higher energy modes of Fractional quantum Hall Effect

Roton minimum at ν = 1∕2 filled fractional quantum Hall effect of Bose particles

Study of partially polarized fractional quantum Hall states

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Neutral collective excitation in fractional quantum Hall effect at Jain series

Cited by 3 publications

References 46 publications

Higher energy modes of Fractional quantum Hall Effect

Higher energy modes of Fractional quantum Hall Effect

Roton minimum at ν = 1∕2 filled fractional quantum Hall effect of Bose particles

Study of partially polarized fractional quantum Hall states

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Product

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Roton minimum at ν = 1∕2 filled fractional quantum Hall effect of Bose particles