Skip to Main content Skip to Navigation
Journal articles

Leggett's bound for amorphous solids

Abstract : 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 Gaus-sian 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 particles 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [38 references]  Display  Hide  Download
Contributor : Emmanuelle De Laborderie Connect in order to contact the contributor
Submitted on : Monday, March 30, 2020 - 4:30:32 PM
Last modification on : Friday, August 5, 2022 - 9:26:12 AM


Files produced by the author(s)



Giulio Biroli, Bryan Clark, Laura Foini, Francesco Zamponi. Leggett's bound for amorphous solids. Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2011, 83, pp.094530. ⟨10.1103/PhysRevB.83.094530⟩. ⟨cea-02524971⟩



Record views


Files downloads