On the dynamics of coupled S=1/2 antiferromagnetic zig-zag chains

Details On the dynamics of coupled S=1/2 antiferromagnetic zig-zag chains On the dynamics of coupled S=1/2 antiferromagnetic zig-zag chains

2000-03-02

arxiv.org/abs/cond-mat/0003028v2

J. Phys.: Condens. Matter 12 No 34 (28 August 2000) 7633-7645

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 9 figures; some changes, figure added; final version

Scientific paper

10.1088/0953-8984/12/34/309

We investigate the elementary excitations of quasi one-dimensional S=1/2 systems built up from zig-zag chains with general isotropic exchange constants, using exact (Lanczos) diagonalization for 24 spins and series expansions starting from the decoupled dimer limit. For the ideal one-dimensional zig-zag chain we discuss the systematic variation of the basic (magnon) triplet excitation with general exchange parameters and in particular the presence of practically flat dispersions in certain regions of phase space. We extend the dimer expansion in order to include the effects of 3D interactions on the spectra of weakly interacting zig-zag chains. In an application to KCuCl_3 we show that this approach allows to determine the exchange interactions between individual pairs of spins from the spectra as determined in recent neutron scattering experiments.

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