Droplet States in the XXZ Heisenberg Chain

  title={Droplet States in the XXZ Heisenberg Chain},
  author={Bruno Nachtergaele and Shannon Starr},
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

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