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

Debanand Sa; C. Gros

doi:10.1007/s100510070028

paper

Effective Charge and Spin Hamiltonian for the Quarter-Filled Ladder Compound $α^{'}$ -NaV $_{2}$ O $_{5}$

arXiv:cond-mat/0004025 · doi:10.1007/s100510070028

Abstract

An effective intra- and inter-ladder charge-spin hamiltonian for the quarter-filled ladder compound $α^{'}$ -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.

Eur. Phys. J. B (submitted)

Effective Charge and Spin Hamiltonian for the Quarter-Filled Ladder Compound α′-NaV2​O5​

Abstract

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Effective Charge and Spin Hamiltonian for the Quarter-Filled Ladder Compound $α^{'}$ -NaV $_{2}$ O $_{5}$