Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-12-30
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
20 pages, 6 figures; appendix B revised; submitted to Phys.Rev.B
Scientific paper
We propose a unifying theory for both the integral and fractional quantum Hall regimes. This theory reconciles the Finkelstein approach to localization and interaction effects with the topological issues of an instanton vacuum and Chern-Simons gauge theory. We elaborate on the microscopic origins of the effective action and unravel a new symmetry in the problem with Coulomb interactions which we name F-invariance. This symmetry has a broad range of physical consequences which will be the main topic of future analyses. In the second half of this paper we compute the response of the theory to electromagnetic perturbations at a tree level approximation. This is applicable to the theory of ordinary metals as well as the composite fermion approach to the half-integer effect. Fluctuations in the Chern-Simons gauge fields are found to be well behaved only when the theory is F-invariant.
Baranov Mikhail A.
Pruisken A. M. M.
Skoric Boris
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