Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-06-23
Journal of Physics (Conf. series) vol.145 012050 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 5 figures, contributed article for HFM (Highly Frustrated Magnetism) workshop (Braunschweig 2008)
Scientific paper
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 N\'eel 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.
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