Singular Continuous Spectrum for a Class of Substitution Hamiltonians
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- Damanik, D. Letters in Mathematical Physics (1998) 46: 303. doi:10.1023/A:1007510721504
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We consider discrete one-dimensional Schrödinger operators with potentials generated by primitive substitutions. A purely singular continuous spectrum with probability one is established provided that the potentials have a local four-block structure.