Numerical diagonalization analysis of the ground-state superfluid-localization transition in two dimensions

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Abstract

Ground state of the two-dimensional hard-core-boson system in the presence of the quenched random chemical potential is investigated by means of the exact-diagonalization method for the system sizes up to L = 5. The criticality and the DC conductivity at the superfluid-localization transition have been controversial so far. We estimate, with the finite-size scaling analysis, the correlation-length and the dynamical critical exponents as v = 2.3 ± 0.6 and z = 2, respectively. The AC conductivity is computed with the Gagliano-Balseiro formula, with which the resolvent (dynamical response function) is expressed in terms of the continued-fraction form consisting of Lanczos tri-diagonal elements. Thereby, we estimate the universal DC conductivity as σc(ω → 0) = 0.135 ± 0.01((2e)2/h).

Original languageEnglish
Pages (from-to)215-223
Number of pages9
JournalEuropean Physical Journal B
Volume9
Issue number2
DOIs
Publication statusPublished - May 2 1999

Keywords

  • 75.10.Jm Quantized spin models
  • 75.10.Nr Spin-glass and other random models
  • 75.40.Mg Numerical simulation studies

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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