Stability and correlations in dilute two-dimensional boson systems

Details Stability and correlations in dilute two-dimensional boson systems Stability and correlations in dilute two-dimensional boson systems

2004-01-16

arxiv.org/abs/cond-mat/0401285v2

Phys. Rev. A 70, 013609 (2004)

Physics

Condensed Matter

Soft Condensed Matter

5 pages, two figures, submitted to Phys. Rev. A, second version contains added discussion, especially of renormalization

Scientific paper

10.1103/PhysRevA.70.013609

The hyperspherical adiabatic expansion method is used to describe correlations in a symmetric boson system rigorously confined to two spatial dimensions. The hyperangular eigenvalue equation turns out to be almost independent of the hyperradius, whereas the solutions are strongly varying with the strength of the attractive two-body potentials. Instability is encountered in hyperangular, hyperradial, and mean-field equations for almost identical strengths inversely proportional to the particle number. The derived conditions for stability are similar to mean-field conditions and closely related to the possible occurrence of the Thomas and Efimov effects. Renormalization in mean-field calculations for two spatial dimensions is probably not needed.

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