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- W2010150147 abstract "We have studied the composition-induced metal-to-insulator transitions (MIT) of cation substituted lithium titanate, in the forms ${mathrm{Li}}_{1+x}{mathrm{Ti}}_{2ensuremath{-}x}{mathrm{O}}_{4}$ and ${mathrm{LiAl}}_{y}{mathrm{Ti}}_{2ensuremath{-}y}{mathrm{O}}_{4},$ utilizing a quantum site percolation model; we argue that such a model provides a very reliable representation of the noninteracting electrons in this material if strong correlations are ignored. We then determine whether or not such a model of ${3d}^{1}$ electrons moving on the Ti (corner-sharing tetrahedral) sublattice describes the observed MIT's, with the critical concentration defined by the matching of the mobility edge and the chemical potential. Our analysis leads to quantitative predictions that are in disagreement with those measured experimentally. For example, experimentally for the ${mathrm{LiAl}}_{y}{mathrm{Ti}}_{2ensuremath{-}y}{mathrm{O}}_{4}$ compound an Al concentration of ${y}_{c}ensuremath{approx}0.33$ produces a metal-to-insulator transition, whereas our analysis of a quantum site percolation model predicts ${y}_{c}ensuremath{approx}0.83.$ One hypothesis that is consistent with these results is that since strong correlations are ignored in our quantum site percolation model, which includes the effects of configurational disorder only, such strong electronic correlations are both present and important." @default.
- W2010150147 created "2016-06-24" @default.
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- W2010150147 date "2004-03-11" @default.
- W2010150147 modified "2023-09-26" @default.
- W2010150147 title "Examining the metal-to-insulator transitions inLi1+xTi2−xO4andLiAlyTi2−yO4with a quantum site percolation model" @default.
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- W2010150147 doi "https://doi.org/10.1103/physrevb.69.104503" @default.
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