Ground state and vortex structure of the $N=5$ and $N=6$ electron quantum dot

Ground state and vortex structure of the $N = 5$ and $N = 6$ electron quantum dot

M. B. Tavernier, E. Anisimovas, and F. M. Peeters

Phys. Rev. B 74, 125305 – Published 13 September 2006

Abstract

A system of $N = 5$ and 6 two-dimensional Coulomb-interacting electrons, trapped in a harmonic potential and subjected to a perpendicular magnetic field, is studied using an exact-diagonalization technique. The results are summarized in a phase diagram, indicating the ground state as a function of the magnetic field and the electron-electron interaction strength. The transformation to a Wigner crystal after the breakdown of the maximum density droplet is investigated and is related to the vortex structure of the different states. The internal structure of the composite fermion is investigated as function of the magnetic field and related to several properties of the quantum dot (e.g., compressibility, liquid or crystal, stability of the ground state, and so on).

Received 15 March 2006

DOI:https://doi.org/10.1103/PhysRevB.74.125305

Authors & Affiliations

M. B. Tavernier^1,*, E. Anisimovas^2,†, and F. M. Peeters^1,‡

¹Departement Fysica, Universiteit Antwerpen, Groenenborgerlaan 171, B-2020 Antwerpen, Belgium
²Semiconductor Physics Institute, Goštauto 11, LT-01108 Vilnius, Lithuania

^*Electronic address: maarten.tavernier@ua.ac.be
^†Electronic address: egidijus.anisimovas@ua.ac.be
^‡Electronic address: francois.peeters@ua.ac.be

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Issue

Vol. 74, Iss. 12 — 15 September 2006

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