TITLE:
Quantum of the Magnetic Flux Characteristic forExperiments Performed on the Integer and Fractional Quantum Hall Effects
AUTHORS:
Stanisław Olszewski
KEYWORDS:
Quantum Hall Effect-Integer and Fractional; Magnetic Induction; Carrier Concentration; Quanta of the Orbital Magnetic Flux
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.11A,
November
19,
2013
ABSTRACT: Experimentally the plateaus characteristic for the
integer quantum Hall effect is obtained in vicinity of specific values of
the magnetic induction. The paper demonstrates that the ratios of these
induction values to carrier concentration in the planar crystalline samples
approach systematically the quanta of the magnetic flux important for the
behavior of superconductors. Moreover, the same quanta can be deduced from the
Landau levels theory and their application in the magnetoresistance theory
gives results being in accordance with experiments. The quanta of the
magnetic flux similar to those for the integer quantum Hall effect can be
obtained also for the fractional quantum Hall effect. This holds on condition
the experimental ratio of the magnetic flux to carrier concentration is
multiplied by the filling factor of the Landau level.