Chern numbers and localization by non-Hermitean operators

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dc.creatorMiller, J.
dc.creatorWeichman, P. B.
dc.date1999-09-14
dc.date.accessioned2026-07-07T03:14:33Z
dc.date.available2026-07-07T03:14:33Z
dc.descriptionIn Hermitean quantum mechanics, extended current-carrying states are distinguished from localized ones by their non-zero Chern number. We generalize the notion of Chern number to non-Hermitean localization problems such as tiltedflux lines in type-II superconductors with line defects and passive scalar transport in random vorticity fields. We find that the usualpoint eigenvalue degeneracies that occur in the Hermitean case are now loops bounding a branch cut sheet with the same quantized total Berry flux, and hence Chern number, as the original point. If a loop cuts the integration surface non-quantized contributions to the total flux result.
dc.identifierhttps://arxiv.org/abs/cond-mat/9909209
dc.identifierhttp://arxiv.org/abs/cond-mat/9909209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29712
dc.subjectMesoscale and Nanoscale Physics
dc.titleChern numbers and localization by non-Hermitean operators
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