7 papers
Spin models from nonlinear cellular automata
Konstantinos Sfairopoulos, Luke Causer, Jamie F. Mair +2
We study classical and quantum spin models derived from one-dimensional cellular automata (CA) with nonlinear update rules, focusing on rules 30, 54 and 201. We argue that the clas…
The quantum Newman-Moore model in a longitudinal field
Konstantinos Sfairopoulos, Juan P. Garrahan
We study the quantum Newman-Moore model, or quantum triangular plaquette model (qTPM), in the presence of a longitudinal field (qTPMz). We present evidence that indicates that the…
Cellular automata in dimensions and ground states of spin models in dimensions
Konstantinos Sfairopoulos, Luke Causer, Jamie F. Mair +1
We show how the trajectories of -dimensional cellular automata (CA) can be used to determine the ground states of -dimensional classical spin models, and we characterise…
Boundary conditions dependence of the phase transition in the quantum Newman-Moore model
Konstantinos Sfairopoulos, Luke Causer, Jamie F. Mair +1
We study the triangular plaquette model (TPM, also known as the Newman-Moore model) in the presence of a transverse magnetic field on a lattice with periodic boundaries in both spa…
Multicriticality in stochastic dynamics protected by self-duality
Konstantinos Sfairopoulos, Luke Causer, Juan P. Garrahan
We study the dynamical large deviations (LD) of a class of one-dimensional kinetically constrained models whose (tilted) generators can be mapped into themselves via duality transf…
Dynamics of Baxter-Wu model
Chen Tang, Konstantinos Sfairopoulos, Wanzhou Zhang +1
Using Monte Carlo simulations, we investigate the dynamical properties of the Baxter-Wu (BW) model under linear quenches. For the linear cooling process, the scaling behavior of th…