Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-02-21
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
36 pages, LaTeX2e, AMSLaTeX; dedicated to the memory of Quin Luttinger. References added, typos fixed
Scientific paper
Incompressible Quantum Hall fluids (QHF's) can be described in the scaling limit by three-dimensional topological field theories. Thanks to the correspondence between three-dimensional topological field theories and two dimensional chiral conformal field theories (CCFT's), we propose to study QHF's from the point of view of CCFT's. We derive consistency conditions and stability criteria for those CCFT's that can be expected to describe a QHF. A general algorithm is presented which uses simple currents to construct interesting examples of such CCFT's. It generalizes the description of QHF's in terms of Quantum Hall lattices. Explicit examples, based on the coset construction, provide candidates for the description of Quantum Hall fluids with Hall conductivity s_H=1/2 e^2/h, 1/4 e^2/h, 3/5 e^2/h, e^2/h,...
Froehlich Juerg
Pedrini Bill
Schweigert Christoph
Walcher Jakob
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