Tremendous theoretical and experimental developments are still being made in this sphere. 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Full content visible, double tap to read brief content. The 13-digit and 10-digit formats both work. Please try again. World Scientific, 2008 - Science - 706 pages 0 Reviews The quantum Hall effect (QHE) is one of the most fascinating and beautiful phenomena in all branches of physics. (window.AmazonUIPageJS ? From Wikipedia, the free encyclopedia The quantum Hall effect (or integer quantum Hall effect) is a quantized version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall resistance Rxy exhibits steps that take on the quantized values at certain level The microscopic theory of the QHE is formulated based on noncommutative geometry, the underlying mathematical structure. 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