On the Spectra of the Kink for Ferromagnetic XXZ Models

Taku Matsui

doi:10.1023/A:1007396827804

On the Spectra of the Kink for Ferromagnetic XXZ Models

Taku Matsui

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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
Pages (from-to)	229-239
Number of pages	11
Journal	Letters in Mathematical Physics
Volume	42
Issue number	3
DOIs	https://doi.org/10.1023/A:1007396827804
Publication status	Published - Nov 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "On the Spectra of the Kink for Ferromagnetic XXZ Models",

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.",

author = "Taku Matsui",

year = "1997",

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AU - Matsui, Taku

PY - 1997/11

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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.

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U2 - 10.1023/A:1007396827804

DO - 10.1023/A:1007396827804

M3 - Article

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VL - 42

SP - 229

EP - 239

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -

On the Spectra of the Kink for Ferromagnetic XXZ Models

Abstract

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