A universal molecular description for the spectra of bosons and fermions in the lowest Landau level

We show that both the {\it yrast\/} and {\it excited\/} states in the LLL spectra of small systems can be expressed as linear superpositions of appropriate rovibrational molecular trial functions, akin to the rotating-electron-molecule functions introduced earlier.\footnote{C. Yannouleas and U. Landman, Phys. Rev. B {\bf 66}, 115315 (2002); Rep. Prog. Phys. {\bf 70}, 2067 (2007).} Thus the nature of strong correlations in the lowest Landau level reflects the spontaneous emergence of intrinsic point-group symmetries associated with rotations and vibrations of molecules of localized particles arranged in concentric polygonal-ring configurations. The present molecular picture is valid for both bosons and fermions. We stress its validity and superiority for {\it low\/} (as well as high) angular momenta, where ``quantum-fluid'' trial functions of a markedly different nature (including Laughlin, composite-fermion, and Pfaffian ones) have been assumed\footnote{R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983); J.K. Jain, {\it Composite Fermions\/} (Cambridge University Press, 2007); N.R. Cooper, arXiv:0810.4398v1.} to apply.