2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24968We analyze a common feature of a nontrivial fractional flux periodicity in two-dimensional systems. We demonstrate that an addition of fractional flux can be absorbed into re-parameterization of quantum numbers. For an exact fractional periodicity, all the electronic states undergo the re-parameterization, whereas for an approximate periodicity valid in a large system, only the states near the Fermi level are involved in the re-parameterization.4 pages, 1 figure, minor changes, final version to appear in J. Phys. Soc. JpnMesoscale and Nanoscale PhysicsMaterials Sciencetext