Coexisting ordinary elasticity and superfluidity in a model of defect-free supersolid

Abstract

We present the mechanics of a model of supersolid in the frame of the Gross-Pitaevskii equation at $T=0K$ that do not require defects nor vacancies. A set of coupled nonlinear partial differential equations plus boundary conditions is derived. The mechanical equilibrium is studied under external constrains as steady rotation or external stress. Our model displays a paradoxical behavior: the existence of a non classical rotational inertia fraction in the limit of small rotation speed and no superflow under small (but finite) stress nor external force. The only matter flow for finite stress is due to plasticity.

6 pages, 2 figures

References in corpus (2)

• Supersolid Helium at High Pressure
• Effective Lagrangian and Topological Interactions in Supersolids

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