Multi-Scale Jacobi Method for Anderson Localization
classification
🧮 math-ph
cond-mat.dis-nnmath.MPmath.PR
keywords
localizationandersonmethodmulti-scaleproofanalysisarxivbeen
read the original abstract
A new KAM-style proof of Anderson localization is obtained. A sequence of local rotations is defined, such that off-diagonal matrix elements of the Hamiltonian are driven rapidly to zero. This leads to the first proof via multi-scale analysis of exponential decay of the eigenfunction correlator (this implies strong dynamical localization). The method has been used in recent work on many-body localization [arXiv:1403.7837].
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.