68 citations · 244 across the 14 of their papers we have counts for
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Monte Carlo Study of Phase Transitions in the Bond-Diluted 3D 4-State Potts Model
Christophe Chatelain, Bertrand Berche, Wolfhard Janke +1
Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions…
Random Ising model in three dimensions: theory, experiment and simulation - a difficult coexistence
Bertrand Berche, Pierre-Emmanuel Berche, Christophe Chatelain +1
We discuss different approaches for studying the influence of disorder in the three-dimensional Ising model. From the theoretical point of view, renormalisation group calculations…
Second-Order Phase Transition Induced by Deterministic Fluctuations in Aperiodic Eight-State Potts Models
Christophe Chatelain, Pierre Emmanuel Berche, Bertrand Berche
We investigate the influence of aperiodic modulations of the exchange interactions between nearest-neighbour rows on the phase transition of the two-dimensional eight-state Potts m…
The McCoy-Wu Model in the Mean-field Approximation
Bertrand Berche, Pierre Emmanuel Berche, Ferenc Iglói +1
We consider a system with randomly layered ferromagnetic bonds (McCoy-Wu model) and study its critical properties in the frame of mean-field theory. In the low-temperature phase th…
Aperiodicity-Induced Second-Order Phase Transition in the 8-State Potts Model
Pierre Emmanuel Berche, Christophe Chatelain, Bertrand Berche
We investigate the critical behavior of the two-dimensional 8-state Potts model with an aperiodic distribution of the exchange interactions between nearest-neighbor rows. The model…
Crossover between aperiodic and homogeneous semi-infinite critical behaviors in multilayered two-dimensional Ising models
Pierre Emmanuel Berche, Bertrand Berche
We investigate the surface critical behavior of two-dimensional multilayered aperiodic Ising models in the extreme anisotropic limit. The system under consideration is obtained by…
Marginal Anisotropy in Layered Aperiodic Ising Systems
P. E. Berche, B. Berche, L. Turban
Two-dimensional layered aperiodic Ising systems are studied in the extreme anisotropic limit where they correspond to quantum Ising chains in a transverse field. The modulation of…
Anisotropic Scaling in Layered Aperiodic Ising Systems
B. Berche, P. E. Berche, M. Henkel +4
The influence of a layered aperiodic modulation of the couplings on the critical behaviour of the two-dimensional Ising model is studied in the case of marginal perturbations. The…
Surface Magnetization of Aperiodic Ising Systems: a Comparative Study of the Bond and Site Problems
L. Turban, P. E. Berche, B. Berche
We investigate the influence of aperiodic perturbations on the critical behaviour at a second order phase transition. The bond and site problems are compared for layered systems an…