By M. Shayegan (auth.), A. Comtet, T. Jolicœur, S. Ouvry, F. David (eds.)
The e-book comprises the labored out lecture notes of the classes brought on the summer season tuition in Les Houches. They handle graduate scholars and are of curiosity for researchers to boot. The e-book can be utilized as an advent into 3 heavily similar fields: anyons and fractional statistics, fractional quantum corridor impression and knot conception. The theoretical papers are sometimes accomplished by means of stories on experimental strategies, and along with of physics a few software to organic structures are available.
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Extra resources for Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systems: Session LXIX. 7–31 July 1998
Les Houches 1994 Notes, edited by E. Akkermans, G. -L. Pichard and J. Zinn-Justin, Mesoscopic Quantum Physics (Elsevier, Amsterdam, 1995) p. 659. , Wiegmann W. , Solid State Commun. 29 (1979) 705. H. Davies, The Physics of Low-Dimensional Semiconductors (Cambridge University Press Cambridge, 1998). , Wave Mechanics Applied to Semiconductor Heterostructures (Halsted Press, New York, 1988); Weisbuch C. J. Kelly, Low-Dimensional Semiconductors, Materials, Physics, Technology, Devices (Clarendon Press, Oxford, 1995).
Figure 17 captures some of the possible 1C and 2C QHE states. A careful study of the evolution of the FQH states in a wide quantum well as a function of n reveals that this evolution is compatible with the above picture . Shown in Figure 18, for example, are three traces taken at low, high and intermediate n. The trace at low n exhibits, besides the usual integer QHE, the standard (odd-denominator) FQH states observed in high-quality single-layer 2D systems. The FQH states observed in the high n trace, on the other hand, while also having odd-denominators, have predominantly even-numerators (exceptions are the QHE states observed 2 4 at ν = 1 and at 11 15 , between 3 and 5 states, to which we will return in Sects.
The Quantum Hall Eﬀects: Fractional and Integral (Springer-Verlag, Berlin 1995). Das S. , Perspectives in Quantum Hall Eﬀects (Wiley, New York, 1997). , Les Houches 1994 Notes, edited by E. Akkermans, G. -L. Pichard and J. Zinn-Justin, Mesoscopic Quantum Physics (Elsevier, Amsterdam, 1995) p. 659. , Wiegmann W. , Solid State Commun. 29 (1979) 705. H. Davies, The Physics of Low-Dimensional Semiconductors (Cambridge University Press Cambridge, 1998). , Wave Mechanics Applied to Semiconductor Heterostructures (Halsted Press, New York, 1988); Weisbuch C.