Dynamical localization of the Chalker-Coddington model far from transition

DOI10.1007/S10955-012-0477-YzbMath1243.82036arXiv1112.4093OpenAlexW3099107157MaRDI QIDQ425191

Olivier Bourget, Joachim Asch, Alain Joye

Publication date: 7 June 2012

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

Full work available at URL: https://arxiv.org/abs/1112.4093

zbMATH Keywords

quantum Hall effectChalker-Coddington modelquantum network percolation

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Percolation (82B43)

Related Items (8)

Spectral stability of unitary network models ⋮ Strongly disordered Floquet topological systems ⋮ Localization for random quasi-one-dimensional models ⋮ Spectral transition for random quantum walks on trees ⋮ On stable quantum currents ⋮ Dynamical localization for \(d\)-dimensional random quantum walks ⋮ Spectral properties of quantum walks on rooted binary trees ⋮ Lower bounds on the localisation length of balanced random quantum walks

Cites Work

• Localization properties of the Chalker-Coddington model
• Moment analysis for localization in random Schrödinger operators
• Dynamical localization for unitary Anderson models
• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• Localization at large disorder and at extreme energies: an elementary derivation
• Extended states in the Anderson model on the Bethe lattice
• Resonant delocalization for random Schrödinger operators on tree graphs
• Fractional moment estimates for random unitary operators
• A constant of quantum motion in two dimensions in crossed magnetic and electric fields
• Caught by disorder. Bound states in random media

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