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VOLUME 37 (1983) | ISSUE 12 | PAGE 575
Localization in an incommensurate potential: exactly solvable multidimensional model
The one-dimensional model proposed by Grempel, Fishman, and Prange is extended to the multidimensional case. The energy levels and the states which are localized at all energies are found for a broad range of parameters. The conductivity is exponentially small at low frequencies. Localization does not occur if the situation is slightly incommensurate.