Analytical theory of strongly correlated Wigner crystals in the lowest Landau level

Jun Won Rhim, Jainendra K. Jain, Kwon Park

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this work, we present an analytical theory of strongly correlated Wigner crystals (WCs) in the lowest Landau level (LLL) by constructing an approximate, but accurate effective two-body interaction for composite fermions (CFs) participating in the WCs. This requires integrating out the degrees of freedom of all surrounding CFs, which we accomplish analytically by approximating their wave functions by delta functions. This method produces energies of various strongly correlated WCs that are in excellent agreement with those obtained from the Monte Carlo simulation of the full CF crystal wave functions. We compute the compressibility of the strongly correlated WCs in the LLL and predict discontinuous changes at the phase boundaries separating different crystal phases.

Original languageEnglish (US)
Article number121103
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume92
Issue number12
DOIs
StatePublished - Sep 4 2015

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Crystals
Fermions
crystals
fermions
Wave functions
composite materials
Composite materials
wave functions
Delta functions
energy methods
delta function
Phase boundaries
Compressibility
compressibility
degrees of freedom
simulation
interactions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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Analytical theory of strongly correlated Wigner crystals in the lowest Landau level. / Rhim, Jun Won; Jain, Jainendra K.; Park, Kwon.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 92, No. 12, 121103, 04.09.2015.

Research output: Contribution to journalArticle

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