216 citations · 2.4k across the 119 of their papers we have counts for
6 papers · 1 filter
The 2D XY model on a finite lattice with structural disorder: quasi-long-range ordering under realistic conditions
Oleksandr Kapikranian, Bertrand Berche, Yurij Holovatch
We present an analytic approach to study concurrent influence of quenched non-magnetic site-dilution and finiteness of the lattice on the 2D XY model. Two significant deeply connec…
Impurity-impurity pair correlation function and paramagnetic-ferromagnetic phase transition in the random Ising model
D. Ivaneyko, B. Berche, Yu. Holovatch +1
In this Monte Carlo study we concentrated on the influence of non-magnetic impurities arranged as the lines with random orientation on paramagnetic-to-ferromagnetic phase transitio…
Perturbation expansion for the diluted two-dimensional XY model
Oleksandr Kapikranian, Bertrand Berche, Yurij Holovatch
We study the quasi-long-range ordered phase of a 2D XY model with quenched site-dilution using the spin-wave approximation and expansion in the parameter which characterizes the de…
Quasi-long-range ordering in a finite-size 2D Heisenberg model
Oleksandr Kapikranian, Bertrand Berche, Yurij Holovatch
We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables u…
On the universality class of the 3d Ising model with long-range-correlated disorder
D. Ivaneyko, B. Berche, Yu. Holovatch +1
We analyze a controversial question about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both analytical and numerical stu…
Historical and interpretative aspects of quantum mechanics: a physicists' naive approach
B. Berche, C. Chatelain, C. Dufour +2
Many theoretical predictions derived from quantum mechanics have been confirmed experimentally during the last 80 years. However, interpretative aspects have long been subject to d…