Münster 1999 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 9: Postersitzung I: TT-Teilchendetektoren (1-7), TT-Techniken (8-11), 2-D-Systeme (12-21), Meso- u. nanoskopische Strukturen (22-44), Niederdim. Spinsysteme (45-60), Tunneln u. Symmetrien (61-65), SQUID-Anwendungen (66-73), Massive HTSL, Bandleiter (74-96)

TT 9.19: Poster

Dienstag, 23. März 1999, 09:30–12:30, Z

On the High–Temperature Expansion for the Fractional Quantum Hall Effect — •S. Sawatdiaree and W. Apel — Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig

We consider electrons moving in two dimensions in a strong magnetic field in the limit, in which only states of the lowest Landau level are occupied. For the case of a short–range electron–electron interaction, we calculate the high–temperature expansion of the grand canonical thermodynamic potential exactly up to seventh order in the interaction, thus extending earlier work by Zheng and MacDonald[1]. For this expansion, a direct method is used which circumvents the calculation of frequency sums. The calculation uses a symbolic computer program. We prove explicitely the equivalence of our method with the perturbation theoretical treatment of Ref. [1] in the lowest orders. The resulting series for the energy per particle is then extrapolated to small temperatures with three different methods.

[1] Lian Zheng and A.H. MacDonald, Surface Science 305, 101-106 (1994)