Weakening of antiferromagnetism due to frustration on inhomogeneous 2D lattices
arXiv:1006.4521 · doi:10.1088/1742-6596/145/1/012050
Abstract
This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a Néel type order exists, quantum fluctuations lead to an inhomogeneous order parameter. I consider the effects of adding frustration to such a system by including next nearest neighbor antiferromagnetic interactions. Within linear spin wave theory, it is found that as the frustration parameter increases, the local order parameters decrease at a rate that depends on the type of sites involved in the frustrated loops. The examples of a decorated square lattice system, and a quasiperiodic tiling are considered.
5 pages, 5 figures, contributed article for HFM (Highly Frustrated Magnetism) workshop (Braunschweig 2008)