Competition between plaquette and dimer phases in Heisenberg chains

Abstract

We consider a class of one-dimensional Heisenberg spin models (plaquette chains) related to the recently found 1/5-depleted square-lattice Heisenberg system $Ca{V}_4{O}_9$. A number of exact and exact-numerical results concerning the properties of the competing dimer and resonating plaquette phases are presented.

9 pages (Latex), 4 ps-figures included, (accepted for publication in Phys.Lett. A)

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