Real Space Effective Interaction and Phase Transition in the Lowest Landau Level

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Abstract

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 <I>r</I>∼3<I>l</I>. 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 short-range interaction around <I>r</I>∼<I>l</I> in the lowest Landau level makes qualitatively different stripe correlations compared with that in higher Landau levels.

Journal

  • Journal of the Physical Society of Japan

    Journal of the Physical Society of Japan 73(8), 2169-2173, 2004-08-15

    The Physical Society of Japan (JPS)

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Codes

  • NII Article ID (NAID)
    110001954953
  • NII NACSIS-CAT ID (NCID)
    AA00704814
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    00319015
  • NDL Article ID
    7052033
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A404
  • Data Source
    CJP  CJPref  NDL  NII-ELS  J-STAGE 
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