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We analyze the electronic structure of a mixed-valence ladder system. We findthat structural anisotropy and complex electron correlations lead to on-rungcharge localization and insulating character. Charge fluctuations within therung of the ladder interact strongly to the lattice degrees of freedom, whichgives rise to large pseudo Jahn--Teller effects. The phase transition inNaV$_2$O$_5$ should be driven by this kind of mechanism.Comment: 5 pages, 2 figures, 1 table, submitted to PR

physical review. b, condensed matter and materials physics

Near degeneracy and pseudo Jahn-Teller effects in mixed-valence ladders: The phase transition in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Na</mml:mi><mml:msub><mml:mi mathvariant="normal">V</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:mrow></mml:math>

Near degeneracy and pseudo Jahn-Teller effects in mixed-valence ladders: The phase transition inNaV2O5