Quantum Dots In Strong Magnetic-Fields - Stability-Criteria For The Maximum Density Droplet

    Authors

    A. H. Macdonald; S. R. E. Yang;M. D. Johnson

    Comments

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    Abbreviated Journal Title

    Aust. J. Phys.

    Keywords

    Oscillations; Conductance; Transport; Physics, Multidisciplinary

    Abstract

    In this article we discuss the ground state of a parabolically confined quantum dot in the limit of very strong magnetic fields where the electron system is completely spin-polarised and all electrons are in the lowest Landau level. Without electron-electron interactions the ground state is a single Slater determinant corresponding to a droplet centred on the minimum of the confinement potential and occupying the minimum area allowed by the Pauli exclusion principle. Electron-electron interactions favour droplets of larger area. We derive exact criteria for the stability of the maximum density droplet against edge excitations and against the introduction of holes in the interior of the droplet. The possibility of obtaining exact results in the strong magnetic field case is related to important simplifications associated with broken time-reversal symmetry in a strong magnetic field.

    Journal Title

    Australian Journal of Physics

    Volume

    46

    Issue/Number

    3

    Publication Date

    1-1-1993

    Document Type

    Article; Proceedings Paper

    Language

    English

    First Page

    345

    Last Page

    358

    WOS Identifier

    WOS:A1993LM09900004

    ISSN

    0004-9506

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