PT Journal
AU Guardiola, R
   Navarro, J
TI On the Lindemann Criterion for Quantum Clusters at Very Low Temperature
SO Journal of Physical Chemistry A
JI J. Phys. Chem. A
PY 2011
BP 6843
EP 6850
VL 115
IS 25
DI 10.1021/jp1111313
LA English
AB The Lindemann criterion to discern the solid-like or liquid-like nature of a quantum cluster at T = 0 is discussed. A critical analysis of current Lindemann parameters is presented and a new parameter is proposed that is appropriate to study quantum clusters made of identical particles. A simple model wave function is introduced to fix the range of variation of these parameters. The model presents two extreme limits that correspond to either a liquid-like or a solid-like system; besides, it fulfills the Bose symmetry and also permits evaluations without symmetrization. Variational and diffusion Monte Carlo calculations are also performed for clusters of spinless bosons interacting through Lennard-Jones potentials. It is shown that the liquid-like or solid-like character of quantum clusters at zero temperature cannot be simply established in terms of a single parameter.
ER