The Group Γ(2) and the Fractional Quantum Hall Effect
نویسندگان
چکیده
We analyze the action of the inhomogeneous modular group Γ(2) on the three cusps of its principal fundamental domain in the Poincaré half plane. From this, we obtain an exhaustive classification of the fractional quantum Hall numbers. This classification is somehow similar to the one given by Jain. We also present some resulting remarks concerning direct phase transitions between the different quantum Hall states. IPNO-TH-9618 (March 1996) † Unité de Recherche des Universités Paris 11 et Paris 6 associée au CNRS
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