Aharonov-Bohm effect in higher genus materials

K. Sasaki, Y. Kawazoe, R. Saito

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


Flux periodicity of conducting electrons on a closed surface with genus two g=2 (double torus) is investigated theoretically. We examine flux periodicity of the ground-state energy and of the wave functions as a function of applied magnetic field. A fundamental flux period of the ground-state energy is twice a fundamental unit of magnetic flux for uniformly applied magnetic field, which is shown to be valid for a simple ladder geometry and carbon double torus. Flux periodicity of the wave functions in a double torus is complicate as compared with a simple torus (g=1), and an adiabatic addition of magnetic fluxes does not provide a good quantum number for the energy eigenstates. The results are extended to higher genus materials and the implications of the results are discussed.

Original languageEnglish
Pages (from-to)369-375
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number5-6
Publication statusPublished - 2004 Feb 16

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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