Interfaces and droplets in quantum lattice models

Details Interfaces and droplets in quantum lattice models Interfaces and droplets in quantum lattice models

2000-09-18

arxiv.org/abs/math-ph/0009027v1

in {\it XIII International Congress of Mathematical Physics}, A. Grigoryan, A. Fokas, T. Kibble, B. Zegarlinski (Eds), Interna

Physics

Mathematical Physics

7 pages, 1 figure (embedded eps). For the proceedings of the XIII International Congress of Mathematical Physics, London, July

Scientific paper

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.

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