Dynamical Localization for Random Band Matrices Up to W≪N1/4

Giorgio Cipolloni, Ron Peled, Jeffrey Schenker, Jacob Shapiro

Research output: Contribution to journalArticlepeer-review


We prove that a large class of N×N Gaussian random band matrices with band width W exhibits dynamical Anderson localization at all energies when W≪N1/4. The proof uses the fractional moment method (Aizenman and Molchanov in Commun Math Phys 157(2):245–278, 1993. https://projecteuclid.org/journals/communications-in-mathematical-physics/volume-157/issue-2/Localizationat-large-disorder-and-at-extreme-energies–an/cmp/1104253939.full) and an adaptive Mermin–Wagner style shift.

Original languageEnglish (US)
Article number82
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Mar 2024

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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