Semifluxon degeneracy choreography in Aharonov-Bohm billiards
Quantum Physics
2010-01-14 v1
Abstract
Every energy level of a charged quantum particle confined in a region threaded by a magnetic flux line with quantum flux one-half must be degenerate for some position of the semifluxon within the boundary B. This is illustrated by computations for which B is a circle and a conformal transformation of a circle without symmetry. As the shape of B is varied, two degeneracies between the same pair of levels can collide and annihilate. Degeneracy of three levels requires three shape parameters, or the positions of three semifluxons; degeneracy of N levels can be generated by int{N(N+1)/4} semifluxons. The force on the semifluxon is derived.
Keywords
Cite
@article{arxiv.1001.2174,
title = {Semifluxon degeneracy choreography in Aharonov-Bohm billiards},
author = {M V Berry and S Popescu},
journal= {arXiv preprint arXiv:1001.2174},
year = {2010}
}