The susceptibility and excitation spectrum of (VO)$_2$P$_2$O$_7$ in ladder and dimer chain models

Details The susceptibility and excitation spectrum of (VO)$_2$P$_2$O$_7$ in ladder and dimer chain models The susceptibility and excitation spectrum of (VO)$_2$P$_2$O$_7$ in ladder and dimer chain models

1994-04-19

arxiv.org/abs/cond-mat/9404060v1

Physics

Condensed Matter

16 pages, 6 figures available upon request, RevTex 3.0, preprint ORNL-CCIP-94-04 / RAL-94-027

Scientific paper

10.1103/PhysRevB.50.6817

We present numerical results for the magnetic susceptibility of a Heisenberg antiferromagnetic spin ladder, as a function of temperature and the spin-spin interaction strengths $J_\perp$ and $J_{||}$. These are contrasted with new bulk limit results for the dimer chain. A fit to the experimental susceptibility of the candidate spin-ladder compound vanadyl pyrophosphate, (VO)$_2$P$_2$O$_7$, gives the parameters $J_\perp = 7.82$ meV and $J_{||} = 7.76$ meV. With these values we predict a singlet-triplet energy gap of $E_{gap} = 3.9$ meV, and give a numerical estimate of the ladder triplet dispersion relation $\omega(k)$. In contrast, a fit to the dimer chain model leads to $J_1=11.11$ meV and $J_2=8.02$ meV, which predicts a gap of $E_{gap} = 4.9$ meV.

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