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Article overview
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A random wave model for the Aharonov-Bohm effect | | Alexander J H Houston
; Martin Gradhand
; Mark R Dennis
; | | Date: |
2 Dec 2016 | | Abstract: | We study an ensemble of random waves subject to the Aharonov-Bohm effect. The
introduction of a point with a magnetic flux of arbitrary strength into a
random wave ensemble gives a family of wavefunctions whose distribution of
vortices (complex zeros) are responsible for the topological phase associated
with the Aharonov-Bohm effect. Analytical expressions are found for the vortex
number and topological charge densities as functions of distance from the flux
point. Comparison is made with the distribution of vortices in the isotropic
random wave model. The results indicate that as the flux approaches
half-integer values, a vortex with the same sign as the fractional part of the
flux is attracted to the flux point, merging with it at half-integer flux.
Other features of the Aharonov-Bohm vortex distribution are also explored. | | Source: | arXiv, 1612.1839 | | Services: | Forum | Review | PDF | Favorites | |
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