2003/07/24 by Tom Michoel, Bruno Nachtergaele
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:82B10 #msc:82B24 #msc:82D40
published as Markov Processes and Related Fields, 11 (2005) 237-266 · 30 pages, submitted to the proceedings of the workshop "Low-energy states in quantum many-body systems", 29 January 2003, Cergy-Pontoise
arxiv created 2003/07/24 · arxiv updated 2009/12/01
We present new results and give a concise review of recent previous results on the asymptotics for large spin of the low-lying spectrum of the ferromagnetic XXZ Heisenberg chain with kink boundary conditions. Our main interest is to gain detailed information on the interface ground states of this model and the low-lying excitations above them. The new and most detailed results are obtained using a rigorous version of bosonization, which can be interpreted as a quantum central limit theorem.