From the Anderson model on a strip to the DMPK equation and random matrix theory

DOI10.1007/s10955-010-9947-2zbMath1192.82101arXiv0912.1574OpenAlexW2080066909MaRDI QIDQ976846

Wojciech De Roeck, Sven Bachmann

Publication date: 16 June 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1574

zbMATH Keywords

random matrix theorydisordered conductorsmetallic phase

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Random matrices (algebraic aspects) (15B52) Quantum waveguides, quantum wires (82D77)

Related Items (9)

Partially hyperbolic random dynamics on Grassmannians ⋮ Quantum diffusion and eigenfunction delocalization in a random band matrix model ⋮ Disordered quantum wires: microscopic origins of the DMPK theory and Ohm's law ⋮ Random Schrödinger operators on long boxes, noise explosion and the GOE ⋮ The scaling limit of the critical one-dimensional random Schrödinger operator ⋮ Random perturbations of hyperbolic dynamics ⋮ On connections between the theory of random operators and the theory of random matrices ⋮ Relations between transfer and scattering matrices in the presence of hyperbolic channels ⋮ Multifield stochastic particle production: beyond a maximum entropy ansatz

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