1997/03/20 by Tae-Hyoung Gimm, Gimm, Tae-Hyoung, Seung-Pyo Hong +4
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Surface and Thin Film Phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.cond-mat/9703184
12 pages, 4 figures, submitted to Phys. Rev. B
openalex publication_date 1997/03/20 · arxiv created 1997/06/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By allowing the spin degrees of freedom, we present a generalized spin allowed U(1)× 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.