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

T. Barnes; J. Riera

doi:10.1103/PhysRevB.50.6817

paper

The susceptibility and excitation spectrum of (VO) $_{2}$ P $_{2}$ O $_{7}$ in ladder and dimer chain models

arXiv:cond-mat/9404060 · doi:10.1103/PhysRevB.50.6817

Abstract

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 $J_{⊥}$ 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 $J_{⊥} = 7.82$ meV and $J_{∣∣} = 7.76$ meV. With these values we predict a singlet-triplet energy gap of $E_{g a p} = 3.9$ meV, and give a numerical estimate of the ladder triplet dispersion relation $ω (k)$ . 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 $E_{g a p} = 4.9$ meV.

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

The susceptibility and excitation spectrum of (VO) $_{2}$ P $_{2}$ O $_{7}$ in ladder and dimer chain models

Abstract

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The susceptibility and excitation spectrum of (VO)2​P2​O7​ in ladder and dimer chain models

Abstract

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The susceptibility and excitation spectrum of (VO) $_{2}$ P $_{2}$ O $_{7}$ in ladder and dimer chain models