Exact broken-symmetry states and Hartree-Fock solutions for quantum dots at high magnetic fields

Details Exact broken-symmetry states and Hartree-Fock solutions for quantum dots at high magnetic fields Exact broken-symmetry states and Hartree-Fock solutions for quantum dots at high magnetic fields

2004-09-14

arxiv.org/abs/cond-mat/0409346v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

QD2004 proceedings under press in Physica E

Scientific paper

10.1016/j.physe.2004.08.059

Wigner molecules formed at high magnetic fields in circular and elliptic quantum dots are studied by exact diagonalization (ED) and unrestricted Hartree-Fock (UHF) methods with multicenter basis of displaced lowest Landau level wave functions. The broken symmetry states with semi-classical charge density constructed from superpositions of the ED solutions are compared to the UHF results. UHF overlooks the dependence of the few-electron wave function on the actual relative positions of electrons localized in different charge puddles and partially compensates for this neglect by an exaggerated separation of charge islands which are more strongly localized than in the exact broken-symmetry states.

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