Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions |
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| Authors: | Bruno Nachtergaele Wolfgang Spitzer Shannon Starr |
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| Institution: | (1) Department of Mathematics, University of California, Davis, One Shields Avenue, Davis, CA 95616-8366, USA;(2) Department of Physics, International University of Bremen, D-28759 Bremen, Germany;(3) Mathematics Department, UCLA, Box 951555, Los Angeles, CA 90095-1555, USA |
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| 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.
Submitted: January 26, 2006; Accepted: April 10, 2006 |
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