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New PDF release: Aspects topologiques de la physique en basse dimension.

By M. Shayegan (auth.), A. Comtet, T. Jolicœur, S. Ouvry, F. David (eds.)

The booklet includes the labored out lecture notes of the classes added on the summer time institution in Les Houches. They deal with graduate scholars and are of curiosity for researchers besides. The booklet can be utilized as an creation into 3 heavily similar fields: anyons and fractional data, fractional quantum corridor impact and knot thought. The theoretical papers are sometimes accomplished through experiences on experimental recommendations, and along with of physics a few program to organic platforms are available.

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Additional info for Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systems: Session LXIX. 7–31 July 1998

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Theoretically, m∗CF is expected to be strongly influenced by electronelectron interaction; it should be much larger than the bare (B = 0) electron effective mass, should scale with the Coulomb energy and therefore increase with B as ∼ B 1/2 and may diverge as ν → 12 [26]. While most experimental results agree with a rather large m∗CF , there is no quantitative agreement. Neither is there an experimental consensus on the functional dependence of m∗CF on B although most measurements agree with ∼ B 1/2 dependence and some experiments have even reported a diverging m∗CF as ν → 12 .

1 ∝ B for several representative n. , Fig. 11). For very low n, the IP appears near ν = 15 , while at the 1 highest n there is an IP for ν 2 . , traces B, C, M. Shayegan: Electrons in a Flatland  35 − Q=Ó FP  D Q =  W ∆ 6$6 =.    − E Q =Ó FP  W ∆ =. 5[[>NΩ@   − F Q =Ó FP  W ∆ =.   − G Q =Ó FP  W ∆ =.       %>7@ Fig. 20. Collapse of the ν = 12 FQHE state with asymmetry.

Figures 10 to 12 provide examples for an electron system in a 750 ˚ A-wide GaAs quantum well. In certain ranges of n, there are well-developed FQH states at the even-denominator fillings ν = 12 [47-49,52] and 32 [49] which have no counterparts in standard 2DESs in single-heterostructures. (Note that ν = 12 is the total filling for the system; it corresponds to 1/4 filling M. Shayegan: Electrons in a Flatland 23                       7*P.    ρ[\>KH @ 5[[>NΩ@              %>7@ Fig.

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