Random-field-driven phase transitions in the ground state of the S = 1 XXZ spin chain

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The ground state of the S = 1 XXZ spin chain under the influence of the random magnetic field is studied by means of the exact diagonalization method. The S = 1/2 counterpart has been investigated extensively so far. The easy-plane area, including the Haldane and the XY phases, is considered. The area suffers significantly from the magnitude of the constituent spin. Destruction of the Haldane state is observed at a critical strength of the random field, which is comparable to the magnitude of the Haldane gap. This transition is characterized by the disappearance of the string order. The XY region continues until at a critical randomness, at which a transition of the KT-universality class occurs. These features are contrasted with those of the S = 1/2 counterpart.

Original languageEnglish
Pages (from-to)90-104
Number of pages15
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2
Publication statusPublished - Oct 1 1998


  • Exact-diagonalization method
  • Haldane phase
  • Localization-delocalization transition
  • Random magnetic field
  • XY phase

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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