Dislocation-induced superfluidity in a model supersolid
arXiv:1103.0057 · doi:10.1103/PhysRevB.84.054523
Abstract
Motivated by recent experiments on the supersolid behavior of He, we study the effect of an edge dislocation in promoting superfluidity in a Bose crystal. Using Landau theory, we couple the elastic strain field of the dislocation to the superfluid density, and use a linear analysis to show that superfluidity nucleates on the dislocation before occurring in the bulk of the solid. Moving beyond the linear analysis, we develop a systematic perturbation theory in the weakly nonlinear regime, and use this method to integrate out transverse degrees of freedom and derive a one-dimensional Landau equation for the superfluid order parameter. We then extend our analysis to a network of dislocation lines, and derive an XY model for the dislocation network by integrating over fluctuations in the order parameter. Our results show that the ordering temperature for the network has a sensitive dependence on the dislocation density, consistent with numerous experiments that find a clear connection between the sample quality and the supersolid response.
10 pages, 6 figures
References in corpus (13)
- Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
- Luttinger Liquid in the Core of Screw Dislocation in Helium-4
- Disorder and the Supersolid State of Solid He
- Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid He
- Observation of Unusual Mass Transport in Solid hcp 4He
- What makes a crystal supersolid ?
- Evidence for a Superglass State in Solid 4He
- Observation of non-classical rotational inertia in bulk solid 4He
- Nonclassical Rotational Inertia in Single Crystal Helium
- Quenched Dislocation Enhanced Supersolid Ordering
- New Dissipation Relaxation Phenomenon in Oscillating Solid He-4
- Bound states of edge dislocations: The quantum dipole problem in two dimensions
- Quantum plasticity and dislocation-induced supersolidity