Convergent expansions for properties of the Heisenberg model for CaV$_4$O$_9$

Details Convergent expansions for properties of the Heisenberg model for CaV$_4$O$_9$ Convergent expansions for properties of the Heisenberg model for CaV$_4$O$_9$

1996-03-04

arxiv.org/abs/cond-mat/9603025v1

Physics

Condensed Matter

Uses REVTEX macros. Four pages in two-column format, five postscript figures. Files packaged using uufiles

Scientific paper

10.1103/PhysRevLett.77.2794

We have carried out a wide range of calculations for the $S=1/2$ Heisenberg model with nearest- and second-neighbor interactions on a two-dimensional lattice which describes the geometry of the vanadium ions in the spin-gap system CaV$_4$O$_9$. The methods used were convergent high-order perturbation expansions (``Ising'' and ``Plaquette'' expansions at $T=0$, as well as high-temperature expansions) for quantities such as the uniform susceptibility, sublattice magnetization, and triplet elementary excitation spectrum. Comparison with the data for CaV$_4$O$_9$ indicates that its magnetic properties are well described by nearest-neighbor exchange of about 200K in conjunction with second-neighbor exchange of about 100K.

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