Incomplete localization for disordered chiral strips

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We prove that a disordered analog of the Su-Schrieffer-Heeger model exhibits dynamical localization (i.e., the fractional moment condition) at all energies except possibly zero energy, which is singled out by chiral symmetry. Localization occurs at arbitrarily weak disorder, provided it is sufficiently random. If furthermore the hopping probability measures are properly tuned so that the zero energy Lyapunov spectrum does not contain zero, then the system exhibits localization also at that energy, which is of relevance for topological insulators. The method also applies to the usual Anderson model on the strip.

Original languageEnglish (US)
Article number081902
JournalJournal of Mathematical Physics
Issue number8
StatePublished - Aug 1 2023

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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