Effective Charge and Spin Hamiltonian for the Quarter-Filled Ladder Compound $α'$-NaV$_2$O$_5$

Details Effective Charge and Spin Hamiltonian for the Quarter-Filled Ladder Compound $α'$-NaV$_2$O$_5$ Effective Charge and Spin Hamiltonian for the Quarter-Filled Ladder Compound $α'$-NaV$_2$O$_5$

2000-04-03

arxiv.org/abs/cond-mat/0004025v1

Eur. Phys. B 18 421-428 (2000)

Physics

Condensed Matter

Eur. Phys. J. B (submitted)

Scientific paper

10.1007/s100510070028

An effective intra- and inter-ladder charge-spin hamiltonian for the quarter-filled ladder compound $\alpha'$-NaV$_2$O$_5$ has been derived by using the standard canonical transformation method. In the derivation, it is clear that a finite inter-site Coulomb repulsion is needed to get a meaningful result otherwise the perturbation becomes ill-defined. Various limiting cases depending on the values of the model parameters have been analyzed in detail and the effective exchange couplings are estimated. We find that the effective intra-ladder exchange may become ferromagnetic for the case of zig-zag charge ordering in a purely electronic model. We estimate the magnitude of the effective inter-rung Coulomb repulsion in a ladder and find it to be about one-order of magnitude too small in order to stabilize charge-ordering.

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