Localization Properties of the Chalker-Coddington Model

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dc.contributor.authorAsch, Joachim
dc.contributor.authorBourget, Olivier
dc.contributor.authorJoye, Alain
dc.date.accessioned2024-01-10T13:50:02Z
dc.date.available2024-01-10T13:50:02Z
dc.date.issued2010
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.description.funderFondecyt
dc.description.funderAnillo
dc.description.funderMATH-AmSud
dc.description.funderScientific Nucleus Milenio
dc.fechaingreso.objetodigital2024-03-19
dc.format.extent33 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00023-010-0056-1
dc.identifier.issn1424-0637
dc.identifier.urihttps://doi.org/10.1007/s00023-010-0056-1
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79500
dc.identifier.wosidWOS:000285783400006
dc.information.autorucMatemática;Bourget O;S/I;1003200
dc.issue.numero7
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final1373
dc.pagina.inicio1341
dc.publisherBIRKHAUSER VERLAG AG
dc.revistaANNALES HENRI POINCARE
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.subject.ods04 Quality Education
dc.subject.odspa04 Educación y calidad
dc.titleLocalization Properties of the Chalker-Coddington Model
dc.typeartículo
dc.volumen11
sipa.codpersvinculados1003200
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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