Crystalline solutions of the Kohn-Sham equations in the fractional quantum Hall regime

Yayun Hu, Yang Ge, Jian Xiao Zhang, J. K. Jain

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A Kohn-Sham density functional approach has recently been developed for the fractional quantum Hall effect, which maps the strongly interacting electrons into a system of weakly interacting composite fermions subject to an exchange-correlation potential as well as a density-dependent gauge field that mimics the "flux quanta"bound to composite fermions. To get a feel for the role of various terms, we study the behavior of the self-consistent solution as a function of the strength of the exchange-correlation potential, which is varied through an ad hoc multiplicative factor. We find that a crystal phase is stabilized when the exchange-correlation interaction is sufficiently strong relative to the composite-fermion cyclotron energy. Various properties of this crystal are examined.

Original languageEnglish (US)
Article number035122
JournalPhysical Review B
Issue number3
StatePublished - Jul 15 2021

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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