Eur. Phys. J. B 29, 15-18 (2002)
https://doi.org/10.1140/epjb/e2002-00256-0

Exact ground state of the generalized three-dimensional Shastry-Sutherland model

Theoretische Physik 1, Universität Bayreuth, 95440 Bayreuth, Germany

Corresponding author: ^a schen@thphy.uni-duesseldorf.de

Received: 20 February 2002
Revised: 27 May 2002
Published online: 17 September 2002

Abstract

We generalize the Shastry-Sutherland model to three dimensions. By representing the model as a sum of the semidefinite positive projection operators, we exactly prove that the model has exact dimer ground state. Several schemes for constructing the three-dimensional Shastry-Sutherland model are proposed.