### Abstract

Using mainly numerical methods, we investigate the ground-state phasediagram of the S = 2 quantum spin chain described by mathmatical equation where δ denotes the XXZ anisotropy parameter ofthe nearest-neighbor interactions and D the on-site anisotropy parameter. We restrict ourselvesto the case of δ ≥ 0 and D ≥ 0 for simplicity. Each of the phase boundary lines is determined by the level spectroscopy or the phenomenological renormalization analysis of numerical results of exact-diagonalization calculations. The resulting phase diagram on the δ-D plane consists of four phases; the XY1 phase, the Haldane/large-D phase, the intermediate-D phase, and the Néel phase. The remarkable natures of the phase diagram are as follows: (1) there exists an intermediate-D phase which was predicted by Oshikawa in 1992; (2) the Haldane state and the large-D state belong to the same phase; (3) the shape of the phase diagram on theδ-D plane is different from that considered so far. We note that this is the first report on the observation of the intermediate-D phase.

Original language | English |
---|---|

Article number | 043001 |

Journal | journal of the physical society of japan |

Volume | 80 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 1 2011 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*journal of the physical society of japan*,

*80*(4), [043001]. https://doi.org/10.1143/JPSJ.80.043001

**Haldane, large-d intermediate-d states in an S = 2 quantum spin chain with on-site and XXZ anisotropies.** / Tonegawa, Takashi; Okamoto, Kiyomi; Nakano, Hiroki; Sakai, Tôru; Nomura, Kiyohide; Kaburagi, Makoto.

Research output: Contribution to journal › Article

*journal of the physical society of japan*, vol. 80, no. 4, 043001. https://doi.org/10.1143/JPSJ.80.043001

}

TY - JOUR

T1 - Haldane, large-d intermediate-d states in an S = 2 quantum spin chain with on-site and XXZ anisotropies

AU - Tonegawa, Takashi

AU - Okamoto, Kiyomi

AU - Nakano, Hiroki

AU - Sakai, Tôru

AU - Nomura, Kiyohide

AU - Kaburagi, Makoto

PY - 2011/4/1

Y1 - 2011/4/1

N2 - Using mainly numerical methods, we investigate the ground-state phasediagram of the S = 2 quantum spin chain described by mathmatical equation where δ denotes the XXZ anisotropy parameter ofthe nearest-neighbor interactions and D the on-site anisotropy parameter. We restrict ourselvesto the case of δ ≥ 0 and D ≥ 0 for simplicity. Each of the phase boundary lines is determined by the level spectroscopy or the phenomenological renormalization analysis of numerical results of exact-diagonalization calculations. The resulting phase diagram on the δ-D plane consists of four phases; the XY1 phase, the Haldane/large-D phase, the intermediate-D phase, and the Néel phase. The remarkable natures of the phase diagram are as follows: (1) there exists an intermediate-D phase which was predicted by Oshikawa in 1992; (2) the Haldane state and the large-D state belong to the same phase; (3) the shape of the phase diagram on theδ-D plane is different from that considered so far. We note that this is the first report on the observation of the intermediate-D phase.

AB - Using mainly numerical methods, we investigate the ground-state phasediagram of the S = 2 quantum spin chain described by mathmatical equation where δ denotes the XXZ anisotropy parameter ofthe nearest-neighbor interactions and D the on-site anisotropy parameter. We restrict ourselvesto the case of δ ≥ 0 and D ≥ 0 for simplicity. Each of the phase boundary lines is determined by the level spectroscopy or the phenomenological renormalization analysis of numerical results of exact-diagonalization calculations. The resulting phase diagram on the δ-D plane consists of four phases; the XY1 phase, the Haldane/large-D phase, the intermediate-D phase, and the Néel phase. The remarkable natures of the phase diagram are as follows: (1) there exists an intermediate-D phase which was predicted by Oshikawa in 1992; (2) the Haldane state and the large-D state belong to the same phase; (3) the shape of the phase diagram on theδ-D plane is different from that considered so far. We note that this is the first report on the observation of the intermediate-D phase.

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UR - http://www.scopus.com/inward/citedby.url?scp=79954513120&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.80.043001

DO - 10.1143/JPSJ.80.043001

M3 - Article

AN - SCOPUS:79954513120

VL - 80

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 4

M1 - 043001

ER -