Two-dimensional S=1/2 antiferromagnet on a plaquette lattice

Details Two-dimensional S=1/2 antiferromagnet on a plaquette lattice Two-dimensional S=1/2 antiferromagnet on a plaquette lattice

1996-04-23

arxiv.org/abs/cond-mat/9604145v1

Physics

Condensed Matter

revtex, 5 pages, 2 Postscript figures

Scientific paper

10.1088/0953-8984/8/42/011

We consider a simplified model of the magnetic structure of the two-dimensional compound $CaV_4O_9$ in terms of interacting square plaquettes of spins with two distinct antiferromagnetic exchange constants. We analyze the competition between two types of singlet ground states and the Neel ordered one in terms of respectively, numerical cluster expansion and nonlinear spin wave theory. The resulting phase diagram agrees well with known Quantum Monte Carlo results and suggests a first order transition between ordered and singlet ground states as a function of the exchange constants.

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