Non-Universal Fractional Quantum Hall States in a Quantum Wire

Shinya Tokizaki, Yoshio Kuramoto

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The ground state as well as low-lying excitations in a 2D electron system in strong magnetic fields and a parabolic potential is investigated by the variational Monte Carlo method. Trial wave functions analogous to the Laughlin state are used with the power-law exponent as the variational parameter. Finite size scaling of the excitation energy shows that the correlation function at long distances is characterized by a non-universal exponent in sharp contrast to the standard Laughlin state. The Laughlin-type state becomes unstable depending on the strength of the confining potential.

Original languageEnglish
Pages (from-to)2302-2306
Number of pages5
Journaljournal of the physical society of japan
Issue number7
Publication statusPublished - 1995 Jul


  • 1D electron
  • Laughlin state
  • Tomonaga-Luttinger liquid
  • fractional quantum Hall effect
  • quantum wire

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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