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Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions

Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr

Published 2005-08-25Version 1

We give a precise definition for excitations consisting of a droplet of size n in the XXZ chain with various choices of boundary conditions, including kink boundary conditions and prove that, for each n, the droplet energies converge to a boundary condition independent value in the thermodynamic limit. We rigorously compute an explicit formula for this limiting value using the Bethe ansatz.

Comments: 36 pages, figures included as eps files
Journal: Ann. H. Poincar\'e, 8 (2007) 165-201
Subjects: 82B10, 82B20, 82B23
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