6 papers
Numerical transfer matrix study of frustrated next-nearest-neighbor Ising models on square lattices
Yi Hu, Patrick Charbonneau
Ising models with frustrated next-nearest-neighbor interactions present a rich morphology of modulated phases. These phases, however, assemble and relax slowly, which hinders their…
High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas
Benoit Charbonneau, Patrick Charbonneau, Yi Hu +1
The random Lorentz gas (RLG) is a minimal model for transport in disordered media. Despite the broad relevance of the model, theoretical grasp over its properties remains weak. For…
Mean-field caging in a random Lorentz gas
Giulio Biroli, Patrick Charbonneau, Yi Hu +3
The random Lorentz gas (RLG) is a minimal model of both percolation and glassiness, which leads to a paradox in the infinite-dimensional, limit: the localizati…
Percolation thresholds on high dimensional and dense packing lattices
Yi Hu, Patrick Charbonneau
The site and bond percolation problems are conventionally studied on (hyper)cubic lattices, which afford straightforward numerical treatments. The recent implementation of efficien…
Dynamics around the Site Percolation Threshold on High-Dimensional Hypercubic Lattices
Giulio Biroli, Patrick Charbonneau, Yi Hu
Recent advances on the glass problem motivate reexamining classical models of percolation. Here, we consider the displacement of an ant in a labyrinth near the percolation threshol…
Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
Patrick Charbonneau, Yi Hu, Archishman Raju +2
A replica-symmetry-breaking phase transition is predicted in a host of disordered media. The criticality of the transition has, however, long been questioned below its upper critic…