Many-body spectrum and particle localization in quantum dots and finite rotating Bose condensates

Details Many-body spectrum and particle localization in quantum dots and finite rotating Bose condensates Many-body spectrum and particle localization in quantum dots and finite rotating Bose condensates

2001-10-30

arxiv.org/abs/cond-mat/0110615v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 7 figures. To appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.64.245322

The yrast spectra (i.e. the lowest states for a given total angular momentum) of quantum dots in strong magnetic fields, are studied in terms of exact numerical diagonalization and analytic trial wave functions. We argue that certain features (cusps) in the many-body spectrum can be understood in terms of particle localization due to the strong field. A new class of trial wavefunctions supports the picture of the electrons being localized in Wigner molecule-like states consisting of consecutive rings of electrons, with low-lying excitations corresponding to rigid rotation of the outer ring of electrons. The geometry of the Wigner molecule is independent of interparticle interactions and the statistics of the particles.

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