Eur. Phys. J. B (2012) 85: 68
https://doi.org/10.1140/epjb/e2012-21003-x

Colloquium

Quasiperiodic Heisenberg antiferromagnets in two dimensions

Laboratoire de Physique des Solides, CNRS-UMR 8502, Université Paris-Sud, 91405 Orsay, France

^a e-mail: jagannathan@lps.u-psud.fr

Received: 7 December 2011
Published online: 17 February 2012

Abstract

We describe some of the properties of 2d quantum quasiperiodic antiferromagnets as reported in studies that have been carried out in the last decade. Many results have been obtained for perfectly ordered as well as for disordered two dimensional bipartite quasiperiodic tilings. The theoretical methods used include spin wave theory, and renormalization group along with Quantum Monte Carlo simulations. These methods all show that the ground state of these unfrustrated antiferromagnets have Néel type order but with a highly complex spatial distribution of local staggered magnetization. The ground state properties, excitation energies and spatial dependence, structure factor, and local susceptibilities are presented and discussed. The effects of introducing geometrical disorder on the magnetic properties are discussed.