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

Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr

math-pharXiv:math-ph/0508049

Abstract

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.

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