Localization Properties of the Chalker-Coddington Model

dc.creatorAsch, Joachim
dc.creatorBourget, Olivier
dc.creatorJoye, Alain
dc.date.accessioned2024-01-10T13:50:02Z
dc.date.accessioned2024-05-02T15:44:46Z
dc.date.available2024-01-10T13:50:02Z
dc.date.available2024-05-02T15:44:46Z
dc.date.created2024-01-10T13:50:02Z
dc.date.issued2010
dc.identifier10.1007/s00023-010-0056-1
dc.identifier1424-0637
dc.identifierhttps://doi.org/10.1007/s00023-010-0056-1
dc.identifierhttps://repositorio.uc.cl/handle/11534/79500
dc.identifierWOS:000285783400006
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9265181
dc.description.abstractThe Chalker-Coddington quantum network percolation model is numerically pertinent to the understanding of the delocalization transition of the quantum Hall effect. We study the model restricted to a cylinder of perimeter 2M. We prove first that the Lyapunov exponents are simple and in particular that the localization length is finite; secondly, that this implies spectral localization. Thirdly, we prove a Thouless formula and compute the mean Lyapunov exponent, which is independent of M.
dc.languageen
dc.publisherBIRKHAUSER VERLAG AG
dc.rightsacceso restringido
dc.subjectUNITARY BAND MATRICES
dc.subjectDENSITY-OF-STATES
dc.subjectINTEGRATED DENSITY
dc.subjectHOLDER CONTINUITY
dc.subjectQUANTUM
dc.subjectPERCOLATION
dc.subjectDIMENSIONS
dc.subjectOPERATORS
dc.subjectSYSTEMS
dc.titleLocalization Properties of the Chalker-Coddington Model
dc.typeartículo


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