Transfer matrix approach to 1d random band matrices | Vidéo | Carmin.tv

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Transfer matrix approach to 1d random band matrices

By Tatyana Shcherbina

Appears in collection : Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data

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.

Information about the video

Date of recording 09/04/2019
Date of publication 09/05/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19515603
Cite this video Shcherbina, Tatyana (09/04/2019). Transfer matrix approach to 1d random band matrices. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19515603
URL https://dx.doi.org/10.24350/CIRM.V.19515603

Domain(s)

Mathematical Physics

Bibliography

SHCHERBINA, Mariya et SHCHERBINA, Tatyana. Transfer matrix approach to 1d random band matrices: density of states. Journal of Statistical Physics, 2016, vol. 164, no 6, p. 1233-1260. - https://arxiv.org/abs/1603.08476

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2104/Slides/Shcherbina.pdf

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