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

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2 Citations (Scopus)

Abstract

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
Volume259
Issue number1-2
Publication statusPublished - Oct 1 1998

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Spin Chains
Random Field
Ground State
Phase Transition
ground state
Diagonalization
Randomness
Universality
destruction
Continue
strings
Strings
Magnetic Field
magnetic fields
Influence
Class

Keywords

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

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

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abstract = "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.",
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AB - 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.

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