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

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

2005-08-25

arxiv.org/abs/math-ph/0508049v1

Ann. H. Poincar\'e, 8 (2007) 165-201

Physics

Mathematical Physics

36 pages, figures included as eps files

Scientific paper

10.1007/s00023-006-0304-6

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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