Chern numbers and localization by non-Hermitean operators

Details Chern numbers and localization by non-Hermitean operators Chern numbers and localization by non-Hermitean operators

1999-09-14

arxiv.org/abs/cond-mat/9909209v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

In 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.

Affiliated with

Also associated with

No associations

Rating

Chern numbers and localization by non-Hermitean operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chern numbers and localization by non-Hermitean operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chern numbers and localization by non-Hermitean operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-655757