English

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

Mathematical Physics 2007-05-23 v1 Statistical Mechanics math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0508049,
  title  = {Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions},
  author = {Bruno Nachtergaele and Wolfgang Spitzer and Shannon Starr},
  journal= {arXiv preprint arXiv:math-ph/0508049},
  year   = {2007}
}

Comments

36 pages, figures included as eps files