Mese, A. I.Capuzzi, P.Akdeniz, Z.Okan, S. E.Tosi, M. P.2024-06-122024-06-1220080953-8984https://doi.org/10.1088/0953-8984/20/33/335222https://hdl.handle.net/20.500.14551/24819We exploit rotational-symmetry breaking in the one-body density to examine the formation of structures in systems of N strongly coupled charged bosons with logarithmic repulsions inside isotropic two-dimensional harmonic traps, with N in the range from 2 to 7. The results serve as a map for ordered arrangements of vortices in a trapped Bose-Einstein condensate. Two types of N-body wavefunctions are assumed: (i) a permanent vertical bar psi(WM)> of N identical Gaussian orbitals centred at variationally determined sites, and (ii) a permanent vertical bar psi(SM)> of N orthogonal orbitals built from harmonic-oscillator energy eigenstates. With increasing coupling strength, the bosons in the vertical bar psi(WM)> orbitals localize into polygonal-ringlike crystalline patterns ('Wigner molecules'), whereas the wavefunctions vertical bar psi(SM)> describe low energy excited states containing delocalized bosons as in supersolid crystallites ('supermolecules'). For N = 2 at strong coupling both states describe a Wigner dimer.en10.1088/0953-8984/20/33/335222info:eu-repo/semantics/openAccessBose-Einstein CondensateHigh-Tc SuperconductorsQuantum DotsSymmetry-BreakingMonte-CarloVorticesSuperfluidMoleculesHeliumLiquidArticle2033Q2WOS:0002581447000302-s2.0-56449089817Q2