Theory of the superglass phase
arXiv:0807.2458 · doi:10.1103/PhysRevB.78.224306
Abstract
A superglass is a phase of matter which is characterized at the same time by superfluidity and a frozen amorphous structure. We introduce a model of interacting bosons in three dimensions that displays this phase unambiguously and that can be analyzed exactly or using controlled approximations. Employing a mapping between quantum Hamiltonians and classical Fokker-Planck operators, we show that the ground state wavefunction of the quantum model is proportional to the Boltzmann measure of classical hard spheres. This connection allows us to obtain quantitative results on static and dynamic quantum correlation functions. In particular, by translating known results on the glassy dynamics of Brownian hard spheres we work out the properties of the superglass phase and of the quantum phase transition between the superfluid and the superglass phase.
23 pages, 7 figures
References in corpus (9)
- Luttinger Liquid in the Core of Screw Dislocation in Helium-4
- Disorder and the Supersolid State of Solid He
- Observation of Unusual Mass Transport in Solid hcp 4He
- Ring exchanges and the supersolid phase of 4He
- What makes a crystal supersolid ?
- Nonclassical Rotational Inertia in Single Crystal Helium
- Coexisting ordinary elasticity and superfluidity in a model of defect-free supersolid
- The Valence Bond Glass phase
- Quenched Dislocation Enhanced Supersolid Ordering