Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-03-20
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 4 figures, submitted to Phys. Rev. B
Scientific paper
By allowing the spin degrees of freedom, we present a generalized spin allowed $U(1)\times U(1)$ Chern-Simons theory of fractional quantum Hall effects for odd and even denominator filling factors in single layers. This theory is shown to reproduce all possible odd denominator filling factors corresponding to spin-unpolarized, partially polarized, and fully polarized fractional quantum Hall states. Closely following our earlier theory, we derive the formal expressions of electromagnetic polarization tensors and Hall conductivity for the spin-unpolarized and partially polarized fractional quantum Hall states. Finally we report the computed spectra of collective excitations for both the even and odd denominator filling factors for which Kohn's theorem is satisfied.
Gimm Tae-Hyoung
Hong Seung-Pyo
Salk Sung-Ho Suck
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