Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-11-12
Phys. Rev. B 83, 094530 (2011)
Physics
Condensed Matter
Disordered Systems and Neural Networks
11 pages, 5 figures
Scientific paper
10.1103/PhysRevB.83.094530
We investigate the constraints on the superfluid fraction of an amorphous solid following from an upper bound derived by Leggett. In order to accomplish this, we use as input density profiles generated for amorphous solids in a variety of different manners including by investigating Gaussian fluctuations around classical results. These rough estimates suggest that, at least at the level of the upper bound, there is not much difference in terms of superfluidity between a glass and a crystal characterized by the same Lindemann ratio. Moreover, we perform Path Integral Monte Carlo simulations of distinguishable Helium 4 rapidly quenched from the liquid phase to very lower temperature, at the density of the freezing transition. We find that the system crystallizes very quickly, without any sign of intermediate glassiness. Overall our results suggest that the experimental observations of large superfluid fractions in Helium 4 after a rapid quench correspond to samples evolving far from equilibrium, instead of being in a stable glass phase. Other scenarios and comparisons to other results on the super-glass phase are also discussed.
Biroli Giulio
Clark Bryan
Foini Laura
Zamponi Francesco
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