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  • Inorganic Chemistry  (1)
  • Kac-Moody algebras  (1)
  • 1
    ISSN: 1572-9613
    Keywords: Quantum Hall effect ; Kac-Moody algebras ; Abelian Chern-Simons theory ; integral lattices ; quadratic forms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The purpose of this paper is to present a rather comprehensive classification of incompressible quantum Hall states in the limit of large distance scales and low frequencies. In this limit, the description of low-energy excitations above the groundstate of an incompressible quantum Hall fluid is intimately connected to the theory of integral quadratic forms on certain lattices which we call quantum Hall lattices. This connection is understood with the help of the representation theory of algebras of gapless, chiral edge currents or, alternatively, from the point of view of the bulk effective Chern-Simons theory. Our main results concern the classification of quantum Hall lattices in terms of certain invariants and their enumeration in low dimensions and for a limited range of values of those invariants. Among physical consequences of our analysis we find explicit, discrete sets of plateau values of the Hall conductivity, as well as the quantum numbers of quasiparticles in fluids corresponding to any one among those quantum Hall lattices. Furthermore, we are able to predict transitions between structurally different quantum Hall fluids corresponding to the same filling factor. Our general results are illustrated by explicitly considering the following plateau values: σ H =N/(2N±1),N=1, 2, 3,..., σ N =1/2.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Indolizines from Phenacylcyclimonium Salts1.3-Dipolar addition of acrylonitrile to N-ylids 2, generated in situ by bases from N-phenacyl-cyclimonium salts 1, yields tetrahydroindolizines 3; these can be dehydrogenated to dihydro-indolizines 4 and indolizines 5.
    Notes: Die aus den N-Phenacyl-cyclimoniumsalzen 1 mit Alkali freigesetzten N-Ylide 2 addieren Acrylnitril in situ 1.3-dipolar zu den Tetrahydro-indolizinen 3; diese lassen sich zu den Dihydro-indolizinen 4 und Indolizinen 5 dehydrieren.
    Type of Medium: Electronic Resource
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