Tatyana Shcherbina: Transfer matrix approach to 1d random band matrices
Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular, RBM can be used to model the Anderson metal-insulator phase transition (crossover) even in 1d. In this talk we will discuss some recent progress in application of the supersymmetric method (SUSY) and transfer matrix approach to the analysis of local spectral characteristics of some specific types of 1d RBM. Joint project with Maria Shcherbina.
Recording during the meeting "Integrability and Randomness in Mathematical Physics and Geometry " the April 09, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Luca Recanzone
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