Cluster expansion for dimerized spin systems

Details Cluster expansion for dimerized spin systems Cluster expansion for dimerized spin systems

2001-07-18

arxiv.org/abs/cond-mat/0107382v1

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, 3 figures; contribution to ICNS2001; uses svjour.clo, svglobal.clo (included)

Scientific paper

10.1007/s003390201529

We have studied dimerized spin systems by realizing the cluster expansion to high order. We have extended our previous dimer expansion for one-dimensional systems to cover weakly interacting chains for a quantitative description of three dimensional materials like PHCC and KCuCl_3. By comparison with recent inelastic neutron scattering data we are able to determine the exchange energies between individual spins. We have further investigated the incommensurate region of zigzag chains with isotropic exchange coupling constants near the disorder-line where the dispersion curve exhibits a minimum at a finite wavevector. Our approach clearly shows the gradual transition between the minimum of the dispersion at wavevector 0 and wavevector Pi within this region. The extent of the incommensurate regime is given analytically in an expansion in the coupling constants.

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