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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.)

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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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