EXACT GROUND-STATES FOR A CLASS OF ANTI-FERROMAGNETIC HEISENBERG MODELS WITH SHORT-RANGE INTERACTIONS Academic Article uri icon

abstract

  • A special class of Heisenberg spin Hamiltonians with short-range antiferromagnetically signed interactions is described. It is demonstrated via a simple group-theoretic argument that the ground states to many of these Hamiltonians are Kekule states, involving singlet spin-pairing between nearest-neighbour pairs of sites. A number of examples are given and previous related work is indicated. In addition to standard applications to exchange-coupled atomic ions, the relevance of this work for the simple valence-bond model of conjugated pi -electron networks is mentioned.

published proceedings

  • JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

author list (cited authors)

  • KLEIN, D. J.

citation count

  • 89

complete list of authors

  • KLEIN, DJ

publication date

  • February 1982