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A renormalization-group method is used to study localization of electrons in a random system. A position-space method yields a localization edge in three dimensions. In two dimensions our results indicate localization even for small randomness in agreement with Abrahams, Anderson, Licciardello, and Ramakrishnan; however we cannot rule out the existence of a localization edge.
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Domany et al. (1979) studied this question.
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