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Localization, conduction, and superfluidity

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Mathematics and Physics of Anderson localization: 50 Years After

Localization of electrons characterizes the difference between an electrical insulator and a metallic conductor at low temperatures, and localization of atoms is one of the characteristics of a solid as opposed to a fluid. I discuss the suggestion made forty years ago that a quantum solid might be a supersolid with superfluid properties, and the recent experiments that show indications of superfluid properties in some solid helium samples. The behavior of the `center of mass’ of a system with periodic boundary conditions in one direction sheds light on the possibility of reduced moment of inertia in a solid. It seems unlikely that supersolidity is a property of a good crystal, but it has been argued that networks of dislocations or of grain boundaries could support a superfluid within real crystals.

This talk is part of the Isaac Newton Institute Seminar Series series.

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