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arXiv:1811.10314 · Physics Letters A

Study of partially polarized fractional quantum Hall states

Moumita Indra, Debashis Das, Dwipesh Majumder

Published Aug 10, 2018• 5 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2018.08.008

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We study 'second generation' of fractional quantum Hall states which contain a partially filled composite fermion (CF) Landau level (LL). We explain the role of CF-CF interaction in the incompressibility of the underlying quantum electron liquid. In particular, using exact diagonalization on a Haldane sphere, we determine two- and three-body CF correlation functions for these liquids and show that the CFs form a paired state (instead of a Laughlin liquid) when filling v = 1/3 of their second LL. At v = 1/2 we show that the CFs group into even larger clusters rather than form a Moore—Read paired state. We also address the problem of spin polarization of interacting CFs and predict transition to the partially unpolarized ground state in sufficiently narrow quantum wells and/or weak magnetic fields.