Lattice glass model with no tendency to crystallize

We study a lattice model with two-body interactions that reproduces in three dimensions many features of structural glasses, such as cage effect and vanishing diffusivity. While having a crystalline state at low temperatures, it does not crystallize when quenched, even at the slowest cooling rate used, which makes it suitable to study the glass transition. We study the model on the Bethe lattice as well, and find a scenario typical of p-spin models, as in the Biroli-Mézard model.