Localization properties of the Chalker-Coddington model

DOI10.1007/s00023-010-0056-1zbMath1210.82033arXiv1001.3625OpenAlexW3106392927MaRDI QIDQ625747

Alain Joye, Olivier Bourget, Joachim Asch

Publication date: 25 February 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3625

zbMATH Keywords

percolationquantum Hall effectThouless formulaChalker-Coddington network modelmean Lyapunov exponent

Mathematics Subject Classification ID

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

Related Items (16)

Spectral stability of unitary network models ⋮ Topological boundary invariants for Floquet systems and quantum walks ⋮ Thermalization of fermionic quantum walkers ⋮ Spectral properties of non-unitary band matrices ⋮ Strongly disordered Floquet topological systems ⋮ Localization for random quasi-one-dimensional models ⋮ Incomplete localization for disordered chiral strips ⋮ Scattering zippers and their spectral theory ⋮ Dynamical localization of the Chalker-Coddington model far from transition ⋮ Random time-dependent quantum walks ⋮ On stable quantum currents ⋮ Generalized Kotani's trick for unitary operators ⋮ Dynamical localization for \(d\)-dimensional random quantum walks ⋮ Correlated Markov quantum walks ⋮ Absence of absolutely continuous spectrum for random scattering zippers ⋮ Lower bounds on the localisation length of balanced random quantum walks

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