Footprint of a topological phase transition on the density of states

dc.article.number96
dc.catalogadorgrr
dc.contributor.author De Moor, Joris
dc.contributor.author Sadel, Christian
dc.contributor.authorSchulz-Baldes, Hermann
dc.date.accessioned2024-03-27T13:32:13Z
dc.date.available2024-03-27T13:32:13Z
dc.date.issued2023
dc.description.abstractFor a generalized Su–Schrieffer–Heeger model, the energy zero is always critical and hyperbolic in the sense that all reduced transfer matrices commute and have their spectrumofftheunitcircle.Disorder-driventopologicalphasetransitionsinthismodel are characterized by a vanishing Lyapunov exponent at the critical energy. It is shown that away from such a transition the density of states vanishes at zero energy with an explicitly computable Hölder exponent, while it has a characteristic divergence (Dyson spike) at the transition points. The proof is based on renewal theory for the Prüfer phase dynamics and the optional stopping theorem for martingales of suitably constructed comparison processes.
dc.fechaingreso.objetodigital2024-04-02
dc.format.extent29 páginas
dc.fuente.origenORCID
dc.identifier.doi10.1007/s11005-023-01719-2
dc.identifier.eissn1573-0530
dc.identifier.scopusidSCOPUS_ID:85170396969
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/84836
dc.identifier.urihttps://doi.org/10.1007/s11005-023-01719-2
dc.identifier.wosidWOS:001063399600001
dc.information.autorucFacultad de Matemáticas; Sadel , Christian Hermann; 0000-0001-8255-3968; 1036151
dc.issue.numero5
dc.language.isoen
dc.nota.accesocontenido completo
dc.revistaLetters in Mathematical Physics
dc.rightsacceso abierto
dc.subjectDyson spike
dc.subjectTopological phase transition
dc.subjectHyperbolic critical energy
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.subject.ods07 Affordable and clean energy
dc.subject.odspa07 Energía asequible y no contaminante
dc.titleFootprint of a topological phase transition on the density of states
dc.typeartículo
dc.volumen113
sipa.codpersvinculados1036151
sipa.trazabilidadORCID;2024-03-25
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