- 00-369 Bruno Nachtergaele
- Interfaces and droplets in quantum lattice models
(144K, LaTeX with 1 EPS figure.)
Sep 18, 00
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Abstract. This paper is a short review of recent results on interface states in
the Falicov-Kimball model and the ferromagnetic XXZ Heisenberg model.
More specifically, we discuss the following topics: 1) The existence of
interfaces in quantum lattice models that can be considered as
perturbations of classical models. 2) The rigidity of the 111 interface
in the three-dimensional Falicov-Kimball model at sufficiently low
temperatures. 3) The low-lying excitations and the scaling of the gap
in the 111 interface ground state in the ferromagnetic XXZ Heisenberg
model in three dimensions. 4) The existence of droplet states in the
XXZ chain and their properties.