Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-10-15
J. Phys. A: Math. Theor. 42 (2009) 214019
Physics
Condensed Matter
Strongly Correlated Electrons
Review presented in the Conference on Strongly Coupled Coulomb Systems (SCCS), Camerino, July 2008
Scientific paper
This short review presents a few case studies of finite electron systems for which strong correlations play a dominant role. In simple metal clusters, the valence electrons determine stability and shape of the clusters. The ionic skeleton of alkali metals is soft, and cluster geometries are often solely determined by electron correlations. In quantum dots and rings, the electrons may be confined by an external electrostatic potential, formed by a gated heterostructure. In the low density limit, the electrons may form so-called Wigner molecules, for which the many-body quantum spectra reveal the classical vibration modes. High rotational states increase the tendency for the electrons to localize. At low angular momenta, the electrons may form a quantum Hall liquid with vortices. In this case, the vortices act as quasi-particles with long-range effective interactions that localize in a vortex molecule, in much analogy to the electron localization at strong rotation.
Manninen Matti
Reimann Stephanie M.
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