Semifluxon degeneracy choreography in Aharonov-Bohm billiards

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6 Citations (Scopus)


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.
Translated title of the contributionSemifluxon degeneracy choreography in Aharonov-Bohm billiards
Original languageEnglish
Pages (from-to)354005-1 - 354005-11
Number of pages11
JournalJournal of Physics A: Mathematical and Theoretical
Publication statusPublished - Aug 2010

Bibliographical note

Publisher: Institute of Physics Publishing


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