Meta-Plaquette Expansion for the Triplet Excitation Spectrum in CaV${}_4$O${}_9$

Abstract

We study antiferromagnetic, $S=1/2$ Heisenberg models with nearest and second neighbor interactions on the one-fifth depleted square lattice which describes the spin degrees of freedom in the spin-gap system CaV${}_4$O${}_9$. The meta-plaquette expansion for the triplet excitation spectrum is extended to fifth order, and the results are compared with experimental data on CaV${}_4$O${}_9$. We attempt to locate the phase boundary between magnetically ordered and gapped phases.

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References in corpus (2)

• Orbital Order Effect of Two-Dimensional Spin Gap System for CaV4O9
• Determination of Exchange Parameters from Magnetic Susceptibility

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• Frustrated Heisenberg antiferromagnet on a pyrochlore lattice
• Order by disorder from non-magnetic impurities in a two-dimensional quantum spin liquid
• Competing Spin-Gap Phases in a Frustrated Quantum Spin System in Two Dimensions
• Ab Initio Calculation of Spin Gap Behavior in CaV4O9
• On the dynamics of coupled S=1/2 antiferromagnetic zig-zag chains
• High-Order Coupled Cluster Calculations Via Parallel Processing: An Illustration For CaV${}_4$O${}_9$