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

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12 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 - Jan 1 1997
Externally published	Yes

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All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Cite this

Matsui, T. (1997). On the Spectra of the Kink for Ferromagnetic XXZ Models. Letters in Mathematical Physics, 42(3), 229-239. https://doi.org/10.1023/A:1007396827804

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10.1023/A:1007396827804