The Quantum Hall Effect (graduate Texts In Contemporary Physics / Maryland Subseries: Based On Lectures At The University Of Maryland, College Park)

analyze the Hall effect in the plateau region relative to the fundamental value 2 h/e i expected in the simple one-electron picture for integer filling factors of Landau levels. Subsequent work in my laboratory in Wiirzburg using a super­ conducting solenoid confirmed the constancy of the Hall resistance both in Dorda's samples and in samples supplied by M. Pepper of the Cavendish Laboratory. With technical assistance from the Physikalisch-Technische Bundesanstalt in Braunschweig, an absolute measurement of the Hall resistance confirmed the 2 fundamental quantization relation RIJ = h/ei to an accuracy of about 1 part in ]05. Recalling the practical applications of the Josephson effect, my initial thinking was oriented toward the idea of a resistance standard, but various groups at national laboratories which are involved in high precision measurements of fun­ damental constants pointed out that, in addition, the quantized Hall resistance yields a new fundamental measure of the fine structure constant Ci. These then were the initial events which led to the remarkable surge of interest within both the metrology and condensed matter physics communities in quantum transport in inversion layer systems. Subsequent developments have been many and varied and are described in detail in this volume. Front Matter....Pages i-xvii Introduction....Pages 1-35 Front Matter....Pages N1-N1 Experimental Aspects and Metrological Applications....Pages 37-68 Effects of Imperfections and Disorder....Pages 69-99 Topological Considerations....Pages 101-116 Field Theory, Scaling and the Localization Problem....Pages 117-173 Front Matter....Pages N3-N3 Experimental Aspects....Pages 175-232 Elementary Theory: the Incompressible Quantum Fluid....Pages 233-301 The Hierarchy of Fractional States and Numerical Studies....Pages 303-352 Collective Excitations....Pages 353-378 Front Matter....Pages N5-N5 Summary, Omissions and Unanswered Questions....Pages 381-399 Back Matter....Pages 401-419