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UDC 621.315.592

SPIN-ORBIT COUPLING OF TWO-DIMENSIONAL ELECTRONS AND LANDAU LEVELS FILLING FACTOR IN FRACTIONAL QUANTUM HALL EFFECT

A. A. Kornilovich, Dr. Sc. (Tech.), professor, RSREU, Ryazan, Russia; orcid.org/0000-0001-8612-1986, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

V. G. Litvinov, Dr. Sc. (Phys. and Math.), Head of the Department, Micro- and Nanoelectronics Department, RSREU, Ryazan, Russia;

orcid.org/0000-0001-6122-8525, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

A mechanism for pairing and joining two-dimensional electron clusters in a strong quantizing magnetic field is proposed. The aim of this work is to obtain the dependence of the filling factor on the Landau level number N the resulting spin S and magnetic mL quantum numbers determined by the L-S bond of twodimensional electrons. A contactless method for determining the Landau level filling factor  has been developed. An interpretation of the fractional quantum Hall effect is given.

Key words: two-dimensional electrons, spin-orbit coupling, Landau levels, fill factor, fractional quantum Hall effect.

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