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    Rigorous upper bound for the persistent current in systems with toroidal geometry

    Vignale, Giovanni, 1957-
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    [PDF] RigrousUpperBoundPersistent.pdf (628.0Kb)
    Date
    1995
    Format
    Article
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    Abstract
    It is shown that the absolute value of the persistent current in a system with toroidal geometry is rigorously less than or equal to eħNα/4πmr02, where N is the number of electrons, r0-2= 〈ri-2〉 is the equilibrium average of the inverse of the square of the distance of an electron from an axis threading the torus, and α≤1 is a positive constant, related to the azimuthal dependence of the density. This result is valid in three and two dimensions for arbitrary interactions, impurity potentials, and magnetic fields.
    URI
    http://hdl.handle.net/10355/7982
    Citation
    Phys. Rev. B 51, 2612-2615 (1995)
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    • Physics and Astronomy publications (MU)

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