Macroscopic Degeneracy and order in the 3d plaquette Ising model
arXiv:1507.05784 · doi:10.1142/S0217984915501092
Abstract
The purely plaquette 3d Ising Hamiltonian with the spins living at the vertices of a cubic lattice displays several interesting features. The symmetries of the model lead to a macroscopic degeneracy of the low-temperature phase and prevent the definition of a standard magnetic order parameter. Consideration of the strongly anisotropic limit of the model suggests that a layered, "fuki-nuke" order still exists and we confirm this with multicanonical simulations. The macroscopic degeneracy of the low-temperature phase also changes the finite-size scaling corrections at the first-order transition in the model and we see this must be taken into account when analysing our measurements.
arXiv admin note: text overlap with arXiv:1412.4426
References in corpus (6)
- Quantum mechanical and information theoretic view on classical glass transitions
- Non-Standard Finite-Size Scaling at First-Order Phase Transitions
- Gonihedric (and Fuki-Nuke) Order
- Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual
- Planar ordering in the plaquette-only gonihedric Ising model
- Transmuted finite-size scaling at first-order phase transitions