The large-spin asymptotics of the ferromagnetic XXZ chain

Details The large-spin asymptotics of the ferromagnetic XXZ chain The large-spin asymptotics of the ferromagnetic XXZ chain

2003-07-24

arxiv.org/abs/math-ph/0307051v1

Markov Processes and Related Fields, 11 (2005) 237-266

Physics

Mathematical Physics

30 pages, submitted to the proceedings of the workshop "Low-energy states in quantum many-body systems", 29 January 2003, Cerg

Scientific paper

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.

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