On the Spectra of the Kink for Ferromagnetic XXZ Models

Taku Matsui

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)229-239
Number of pages11
JournalLetters in Mathematical Physics
Volume42
Issue number3
DOIs
Publication statusPublished - Jan 1 1997
Externally publishedYes

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Kink
Ground State
ground state
Pure State
eigenvalues
Eigenvalue
Invariant
Zero
products
Energy
Model
energy

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.

In: Letters in Mathematical Physics, Vol. 42, No. 3, 01.01.1997, p. 229-239.

Research output: Contribution to journal › Article

Matsui, T 1997, 'On the Spectra of the Kink for Ferromagnetic XXZ Models', Letters in Mathematical Physics, vol. 42, no. 3, pp. 229-239. https://doi.org/10.1023/A:1007396827804
Matsui T. On the Spectra of the Kink for Ferromagnetic XXZ Models. Letters in Mathematical Physics. 1997 Jan 1;42(3):229-239. https://doi.org/10.1023/A:1007396827804
Matsui, Taku. / On the Spectra of the Kink for Ferromagnetic XXZ Models. In: Letters in Mathematical Physics. 1997 ; Vol. 42, No. 3. pp. 229-239.
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