On the two-magnon bound states for the quantum Heisenberg chain with variable range exchange

J. Dittrich; V. I. Inozemtsev

doi:10.1142/S0217984997000554

On the two-magnon bound states for the quantum Heisenberg chain with variable range exchange

solv-int 2009-10-30 v1 Statistical Mechanics Exactly Solvable and Integrable Systems

Authors: J. Dittrich , V. I. Inozemtsev

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Abstract

The spectrum of finite-difference two-magnon operator is investigated for quantum S=1/2 chain with variable range exchange of the form $h(j-k)\propto \sinh^{-2}a(j-k)$ . It is found that usual bound state appears for some values of the total pseudomomentum of two magnons as for the Heisenberg chain with nearest-neighbor spin interaction. Besides this state, a new type of bound state with oscillating wave function appears at larger values of the total pseudomomentum.

Keywords

quantum heisenberg chain variable range exchange two-magnon bound states finite-difference operator pseudomomentum

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@article{arxiv.solv-int/9612008,
  title  = {On the two-magnon bound states for the quantum Heisenberg chain with variable range exchange},
  author = {J. Dittrich and V. I. Inozemtsev},
  journal= {arXiv preprint arXiv:solv-int/9612008},
  year   = {2009}
}

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8 pages, latex, no figures

On the two-magnon bound states for the quantum Heisenberg chain with variable range exchange

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