Ground state of ν = 1 bilayer quantum hall systems

Naokazu Shibata, Daijiro Yoshioka

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


The ground-state wave function and the energy gap are calculated for various layer separations, d, and for up to 24 electrons by the density matrix renormalization group (DMRG) method. Two-particle distribution function and excitonic correlation function are calculated from the ground-state wave function, and the evolution of the ground state with increasing d is analyzed. The results indicate that the transition is continuous. A smooth crossover of the ground state is found at d/l ≃ 1:6 from the excitonic character at small d/l to the independent Fermi-liquid character at large d/l, where l is the magnetic length.

Original languageEnglish
Article number043712
JournalJournal of the Physical Society of Japan
Issue number4
Publication statusPublished - 2006 Apr


  • Bilayer
  • Density matrix
  • Excitonic state
  • Ground state
  • Phase diagram
  • Quantum Hall system
  • Renormalization group
  • Two dimensions


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