1996/06/11 by Tae-Hyoung Gimm, Gimm, Tae-Hyoung, Sung‐Ho Suck Salk +2
Engineering · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Magnetic Field Sensors Techniques #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9606073
10 pages, Phys. Rev. B in press
arxiv created 1996/06/11 · openalex publication_date 1996/06/11 · arxiv updated 2009/11/30 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
Unlike an earlier theory, by avoiding both the electromagnetic gauge field\nshift and the assumption of the zero average of electromagnetic field\nfluctuation the fermion Chern-Simons gauge theory is reformulated to obtain\nmean field solutions and a self-consistent expression of the electromagnetic\npolarization tensor in terms of the composite fermion picture for the systems\nof fractional quantum Hall effect. Thus the newly derived electromagnetic\npolarization tensor is shown to depend on the residual (effective) magnetic\nfield `seen' by composite fermions rather than the statistical field, which\ndiffers from the earlier theory. The present theory reproduces the Hall\nconductance of fractional quantum Hall effect. The self-consistent picture of\nthe composite fermion is maintained in all of our derivations: both the mean\nfield solutions and the electromagnetic polarization tensor are described by\nthe residual magnetic field seen by the composite fermions.\n