### 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 language | English |
---|---|

Pages (from-to) | 90-104 |

Number of pages | 15 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 259 |

Issue number | 1-2 |

Publication status | Published - Oct 1 1998 |

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### 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

**Random-field-driven phase transitions in the ground state of the S = 1 XXZ spin chain.** / Nishiyama, Yoshihiro.

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 259, no. 1-2, pp. 90-104.

}

TY - JOUR

T1 - Random-field-driven phase transitions in the ground state of the S = 1 XXZ spin chain

AU - Nishiyama, Yoshihiro

PY - 1998/10/1

Y1 - 1998/10/1

N2 - 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.

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.

KW - Exact-diagonalization method

KW - Haldane phase

KW - Localization-delocalization transition

KW - Random magnetic field

KW - XY phase

UR - http://www.scopus.com/inward/record.url?scp=0347594351&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347594351&partnerID=8YFLogxK

M3 - Article

VL - 259

SP - 90

EP - 104

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 1-2

ER -