Real space effective interaction and phase transition in the lowest Landau level

Naokazu Shibata, Daijiro Yoshioka

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


The transition between the stripe state and the liquid state in a high magnetic field is studied by the density-matrix renormalization-group (DMRG) method. Systematic analysis on the ground state of two-dimensional electrons in the lowest Landau level shows that the transition from the stripe state to the liquid state at ν ∼ 3/8 is caused by a reduction of repulsive interaction around r ∼ 3ℓ. The same reduction of the interaction also stabilizes the incompressible liquid states at ν = 1/3 and 2/5, which shows a similarity between the two liquid states at ν ∼ 3/8 and 1/3. It is also shown that the strong shortrange interaction around r ∼ ℓ in the lowest Landau level makes qualitatively different stripe correlations compared with that in higher Landau levels.

Original languageEnglish
Pages (from-to)2169-2173
Number of pages5
Journaljournal of the physical society of japan
Issue number8
Publication statusPublished - 2004 Aug
Externally publishedYes


  • Density matrix
  • Fractional quantum Hall effect
  • Liquid
  • Renormalization group
  • Stripe
  • Transition
  • Two dimension

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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