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Composite Particles in the Theory of Quantum Hall Effect
Author(s) -
Asselmeyer T.,
Keiper R.
Publication year - 1999
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(199906)213:2<365::aid-pssb365>3.0.co;2-g
Subject(s) - physics , electron , composite fermion , momentum (technical analysis) , flux (metallurgy) , magnetic field , condensed matter physics , magnetic flux quantum , field (mathematics) , composite number , ground state , guiding center , quantum hall effect , magnetic flux , quantum dot , angular momentum , quantum mechanics , particle (ecology) , atomic physics , chemistry , quantum spin hall effect , materials science , oceanography , geology , mathematics , organic chemistry , finance , pure mathematics , economics , composite material
The formation of composite particles in the electron liquid under QHE conditions discussed by Jain in generalizing Laughlins many‐particle state is considered by using a model for two‐dimensional guiding center configurations. At first we describe the self‐consistent field of electron repulsion by a negative parabolic potential on an effective center and a remaining inter‐center amount. From this we show that with increasing magnetic field the ground state of so‐called primary composite particles ν = 1/ q , q = 1,3,5, …, is given for higher negative quantum numbers of the total angular momentum. By clustering of primary composite particles due to absorption or emission of flux quanta we explain phenomenologically the quasi‐particle structure behind the series of relevant filling factors ν = p / q , p = 1,2,3, …. Our considerations show that the complicate interplay of electron–magnetic field and electron–electron interactions in QHE systems may be understood in terms of adding flux quanta Φ 0 to charges e and binding of charges by flux quanta.