Systematics in the metal-insulator transition temperatures in vanadium oxides

Abstract Nine of the known vanadium oxides, VO 2 − 1 / n (n – a positive or negative integer) with n = 2 − 6 , 8 , 9 , ∞ and −6, undergo metal-insulator transitions accompanied by structural transitions, at various temperatures TMIT (V7O13 is metallic above T=0). Among the persistent efforts to determine the driving force(s) of these transitions, electron–electron (Mott-like) and electron–phonon (Peierls-like) interactions, there were several attempts to find systematics in TMIT as function of n. Here we present an unexpectedly simple and illuminating systematics that holds for positive n: if TMIT is the absolute value of the difference between TM(n) and TP(n), which represent the contributions of electron–electron and electron–phonon interactions, respectively, all data points of TM-TP versus 1/n lie on, or close to, two simple straight lines; one is T M − T P = T ∞ ( 7 / n − 1 ) for V3O5, V4O7, V5O9, V7O13, V8O15, V9O17 and VO2 and the other is T M − T P = T ∞ ( 3 / n − 1 ) for V2O3, V6O11 and VO2.

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