Abstract
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 language | English (US) |
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Article number | 82 |
Journal | Communications In Mathematical Physics |
Volume | 405 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2024 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics