Abstract
It has been argued that the soft roton in liquid He4 is the precursor of weak crystallization, which freezes as a Bragg spot upon freezing. In this note we explore the competition between such a solid and superfluidity. Coexistence is definitely possible but limited by Mott localization and/or first order transitions. Since experiment seems to exclude single crystal supersolids in the absence of defects, we explore superfluidity along dislocation cores, suggesting a scenario based on trapped vorticity that might reconcile apparently unconnected experimental results.
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Nozières, P. Superfluidity, Crystallization and Localization. J Low Temp Phys 156, 9–21 (2009). https://doi.org/10.1007/s10909-009-9889-8
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DOI: https://doi.org/10.1007/s10909-009-9889-8