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 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics