### Abstract

We consider the kink (infinite volume nontranslationally invariant ground states) of the ferromagnetic XXZ models on the multi-dimensional lattices. We obtained the following results: (i) The pure states satisfying the local zero energy condition are necessarily product states, (ii) The Hamiltonian in the GNS representation of the kink has no gap between the ground-state eigenvalue and the rest of the spectra.

Original language | English |
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Pages (from-to) | 229-239 |

Number of pages | 11 |

Journal | Letters in Mathematical Physics |

Volume | 42 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 1997 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**On the Spectra of the Kink for Ferromagnetic XXZ Models.** / Matsui, Taku.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 42, no. 3, pp. 229-239. https://doi.org/10.1023/A:1007396827804

}

TY - JOUR

T1 - On the Spectra of the Kink for Ferromagnetic XXZ Models

AU - Matsui, Taku

PY - 1997/1/1

Y1 - 1997/1/1

N2 - We consider the kink (infinite volume nontranslationally invariant ground states) of the ferromagnetic XXZ models on the multi-dimensional lattices. We obtained the following results: (i) The pure states satisfying the local zero energy condition are necessarily product states, (ii) The Hamiltonian in the GNS representation of the kink has no gap between the ground-state eigenvalue and the rest of the spectra.

AB - We consider the kink (infinite volume nontranslationally invariant ground states) of the ferromagnetic XXZ models on the multi-dimensional lattices. We obtained the following results: (i) The pure states satisfying the local zero energy condition are necessarily product states, (ii) The Hamiltonian in the GNS representation of the kink has no gap between the ground-state eigenvalue and the rest of the spectra.

UR - http://www.scopus.com/inward/record.url?scp=0000326309&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000326309&partnerID=8YFLogxK

U2 - 10.1023/A:1007396827804

DO - 10.1023/A:1007396827804

M3 - Article

VL - 42

SP - 229

EP - 239

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -