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Transfer matrix approach to random band matrices

[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 1 August 23, 2021 - August 27, 2021

August 25, 2021 (12:00 PM PDT - 01:00 PM PDT)
Speaker(s): Tetiana Shcherbyna (University of Wisconsin-Madison)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Transfer Matrix Approach To Random Band Matrices

Abstract

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.

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Transfer Matrix Approach To Random Band Matrices

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