Droplet States in the XXZ Heisenberg Chain

@inproceedings{Nachtergaele2001DropletSI,
  title={Droplet States in the XXZ Heisenberg Chain},
  author={Bruno Nachtergaele and Shannon Starr},
  year={2001}
}
We consider the ground states of the ferromagnetic XXZ chain with spin up boundary conditions in sectors with a fixed number of down spins. This forces the existence of a droplet of down spins in the system. We find the exact energy and the states that describe these droplets in the limit of an infinite number of down spins. We also prove that the droplet states, which were known to be separated by an energy gap from the ground state, are also separated by an energy gap from the remainder of… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 12 references

Wulff droplets and the metastable relaxation of kinetic Ising models

  • R H Schonmann, S Shlosman
  • Comm. Math. Phys
  • 1998
1 Excerpt

On ground states of the one-dimensional ferromagnetic XXZ model

  • T Matsui
  • Lett. Math. Phys
  • 1996
1 Excerpt

Quantum Groups

  • C Kassel
  • Quantum Groups
  • 1995

Wulff construction: a global shape from local interaction, AMS translations series

  • R L Dobrushin, R Koteck´koteck´y, S Shlosman
  • Providence R.I
  • 1992
1 Excerpt

Large deviations and phase separation in the two dimensional Ising model

  • C E Pfister
  • Helv. Phys. Acta
  • 1991
1 Excerpt

Similar Papers

Loading similar papers…