Crystalline character of high-magnetic-field cusp states in quantum dots

Details Crystalline character of high-magnetic-field cusp states in quantum dots Crystalline character of high-magnetic-field cusp states in quantum dots

2004-01-29

arxiv.org/abs/cond-mat/0401610v2

Phys.Rev. B69 (2004) 113306

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

New figure 3 extending calculations to N=8 and N=9. The discussion concerning possible implications for the bulk FQHE has been

Scientific paper

10.1103/PhysRevB.69.113306

Conditional probability distributions from exact diagonalization are used to investigate the crystalline or liquid character of the downward cusp states in parabolic quantum dots (QD's) at high magnetic fields. These states are crystalline in character for fractional fillings covering both low and high values, unlike the liquid Jastrow-Laughlin wave functions, but in remarkable agreement with the rotating-electron-molecule ones [Phys. Rev. B 66, 115315 (2002)]. The cusp states are precursors to the bulk fractional quantum Hall states (and not to the bulk Wigner crystal), since the collective rotation stabilizes the rotating Wigner molecule (formed in the QD) relative to the static one.

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