Aharonov-Bohm effect with many vortices

Details Aharonov-Bohm effect with many vortices Aharonov-Bohm effect with many vortices

2008-05-13

arxiv.org/abs/0805.1910v2

Phys. Scr. 78 (2008) 065002

Physics

Condensed Matter

Superconductivity

15 pages, 7 Figures. Revised as accepted for publication. Accepted in Physica Scripta

Scientific paper

10.1088/0031-8949/78/06/065002

The Aharonov-Bohm effect is the prime example of a zero-field-strength configuration where a non-trivial vector potential acquires physical significance, a typical quantum mechanical effect. We consider an extension of the traditional A-B problem, by studying a two-dimensional medium filled with many point-like vortices. Systems like this might be present within a Type II superconducting layer in the presence of a strong magnetic field perpendicular to the layer, and have been studied in different limits. We construct an explicit solution for the wave function of a scalar particle moving within one such layer when the vortices occupy the sites of a square lattice and have all the same strength, equal to half of the flux quantum. From this construction we infer some general characteristics of the spectrum, including the conclusion that such a flux array produces a repulsive barrier to an incident low-energy charged particle, so that the penetration probability decays exponentially with distance from the edge.

Affiliated with

Also associated with

No associations

Rating

Aharonov-Bohm effect with many vortices 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 Aharonov-Bohm effect with many vortices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aharonov-Bohm effect with many vortices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472844