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The Absence of Decimal g ‐Factor in QHE
Author(s) -
Saglam M.,
Boyacioglu B.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200203)230:1<133::aid-pssb133>3.0.co;2-b
Subject(s) - decimal , quantization (signal processing) , factor (programming language) , physics , magnetic field , integer (computer science) , mathematics , theoretical physics , arithmetic , algorithm , computer science , quantum mechanics , programming language
The calculation of the effective g ‐factor in QHE is presented by a simple diagram method and by a flux quantization argument. It is shown that the effective g ‐factor only takes even integer values: such as 2, 4, 6 … and so on. Decimal values of g *, which have been observed experimentally, are not allowed. According to the conclusion of the present investigation, an explanation of the observation of decimal g * values must be sought elsewhere such as the change in the effective mass or the presence of local magnetic field effects.