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The charge ordering transition in the layer compound NaV2O5 is studied bymeans of exact diagonalization methods for finite systems. The 2-leg ladders ofthe V-Trellis lattice are associated with one spin variable of the vanadium3d-electron in the rung and a pseudospin variable that describes its positionaldegree of freedom. The charge ordering (CO) due to intersite Coulombinteractions is described by an effective Ising-like Hamiltonian for thepseudo-spins that are coupled to the spin fluctuations along the ladder. Weemploy a Lanczos algortihm on 2D lattice to compute charge (pseudo-spin) andspin-correlation functions and the energies of the low lying excited states. ACO-phase diagram is constructed and the effect of intra-ladder exchange on theCO transition is studied. It is shown that a phase with no-longe range order(no-LRO) exists between the in-line and zig-zag ordered structures. We providea finite-size scaling analysis for the spin excitation gap and also discuss thetype of excitations. In addition we studied the effect of bond-alternation ofspin exchange and derived a scaling form for the spin gap in terms of thedimerization parameter.Comment: 9 pages with 9 EPS figures and 1 table, To be appeared in Phys. Rev.  B (2001

physical review. b, condensed matter

Exact diagonalization study of charge order in the quarter-filled two-leg ladder system<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">NaV</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Exact diagonalization study of charge order in the quarter-filled two-leg ladder systemNaV2O5