Quenched Dislocation Enhanced Supersolid Ordering

Abstract

I show using Landau theory that quenched dislocations can facilitate the supersolid (SS) to normal solid (NS) transition, making it possible for the transition to occur even if it does not in a dislocation-free crystal. I make detailed predictions for the dependence of the SS to NS transition temperature T_c(L), superfluid density %ρ_S(T, L), and specific heat C(T,L) on temperature T and dislocation spacing L, all of which can be tested against experiments. The results should also be applicable to an enormous variety of other systems, including, e.g., ferromagnets.

5 pages, 2 figures

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• Local stress and superfluid properties of solid Helium-4
• Intrinsic and dislocation induced elastic behavior of solid helium
• Solid 4He and the Supersolid Phase: from Theoretical Speculation to the Discovery of a New State of Matter? A Review of the Past and Present Status of Research
• Theory of the superglass phase
• Torsional oscillator and synchrotron x-ray experiments on solid 4He in aerogel
• Ising Model on a random network with annealed or quenched disorder
• Glide and Superclimb of Dislocations in Solid ${}^4$He
• Relaxation of superflow in a network: an application to the dislocation model of supersolidity of helium crystals
• Exciton solid in bilayer two dimensional electron-hole systems
• Bound states of edge dislocations: The quantum dipole problem in two dimensions
• Dislocation-induced superfluidity in a model supersolid
• A search for disordered (glassy) phase in solid 3He deformed in situ
• Quantum plasticity and dislocation-induced supersolidity
• Supersolid induced by dislocations with superfluid cores (Review article)
• Grain Boundary Roughening Transitions
• Non-classical Rotational Inertia in a Two-dimensional Bosonic Solid Containing Grain Boundaries
• Defects and glassy dynamics in solid He-4: Perspectives and current status
• Dislocation Mobility and Anomalous Shear Modulus Effect in ${}^4$He Crystals
• Quantum simulation of 3He impurities and of 4He interstitials in solid 4He
• Superfluid transition in a correlated defect network
• Superfluid Field response to Edge dislocation motion
• Off-diagonal Long-Range Order and Supersolidity in a Quantum Solid with Vacancies