Minimal Model for Disorder-induced Missing Moment of Inertia in Solid $^4$He

Details Minimal Model for Disorder-induced Missing Moment of Inertia in Solid $^4$He Minimal Model for Disorder-induced Missing Moment of Inertia in Solid $^4$He

2006-12-19

arxiv.org/abs/cond-mat/0612505v5

Phys. Rev. B vol. 78, 014515 (11 pages) (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 5 figures: Extended version of previous paper in which the pase diagram for the disordered Bose-Hubbard model is comp

Scientific paper

The absence of a missing moment inertia in clean solid $^4$He suggests that the minimal experimentally relevant model is one in which disorder induces superfluidity in a bosonic lattice. To this end, we explore the relevance of the disordered Bose-Hubbard model in this context. We posit that a clean array $^4$He atoms is a self-generated Mott insulator, that is, the $^4$He atoms constitute the lattice as well as the `charge carriers'. With this assumption, we are able to interpret the textbook defect-driven supersolids as excitations of either the lower or upper Hubbard bands. In the experiments at hand, disorder induces a closing of the Mott gap through the generation of mid-gap localized states at the chemical potential. Depending on the magnitude of the disorder, we find that the destruction of the Mott state takes place for $d+z>4$ either through a Bose glass phase (strong disorder) or through a direct transition to a superfluid (weak disorder). For $d+z<4$, disorder is always relevant. The critical value of the disorder that separates these two regimes is shown to be a function of the boson filling, interaction and the momentum cut off. We apply our work to the experimentally observed enhancement $^3$He impurities has on the onset temperature for the missing moment of inertia. We find quantitative agreement with experimental trends.

Affiliated with

Also associated with

No associations

Rating

Minimal Model for Disorder-induced Missing Moment of Inertia in Solid $^4$He does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Minimal Model for Disorder-induced Missing Moment of Inertia in Solid $^4$He, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal Model for Disorder-induced Missing Moment of Inertia in Solid $^4$He will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-241623