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Spin–Orbit Scattering and Spin‐Splitting in the Quantum Hall Effect
Author(s) -
Kagalovsky V.,
Horovitz B.,
Avishai Y.
Publication year - 1998
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/(sici)1521-3951(199801)205:1<377::aid-pssb377>3.0.co;2-c
Subject(s) - physics , condensed matter physics , quantum hall effect , spin (aerodynamics) , quantum spin hall effect , exponent , mixing (physics) , scattering , critical exponent , quantum mechanics , magnetic field , phase transition , linguistics , philosophy , thermodynamics
We study dynamics of electrons in a magnetic field using a network model with two channels per link with random mixing, while the intrachannel potential is periodic (nonrandom); the channels represent two‐spin states. We consider channel mixing as function of the energy separation Δ of the two extended states. We show that for Δ < 0.5 the system has only one extended state, and a localization length diverges approaching it with a nontrivial critical exponent ν ≈ 1.1, whereas for larger Δ a transition to a typical quantum Hall behavior with two extended states occurs, and the critical exponent becomes ν ≈ 2.5.