Title

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

Title - Alternative

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.

Publication 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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