49 citations · 89 across the 4 of their papers we have counts for
4 papers
No quasi-long-range order in the two-dimensional liquid crystal
Ricardo Paredes, Ana-Isabel Fariñas-Sánchez, Robert Botet
Systems with global symmetry group O(2) experience topological transition in the 2-dimensional space. But there is controversy about such a transition for systems with global symme…
Topological transition in a two-dimensional model of liquid crystal
Ana Fariñas-Sanchez, Ricardo Paredes, Bertrand Berche
Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interac…
Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model
B. Berche, A. I. Farinas Sanchez, Yu. Holovatch +1
The influence of non magnetic impurities in the 2d XY model is investigated through Monte Carlo (MC) simulations. The general picture of the transition is fully understood from the…
Correlations in the low-temperature phase of the two-dimensional XY model
B. Berche, A. Farinas Sanchez, R. Paredes
Monte Carlo simulations of the two-dimensional XY model are performed in a square geometry with fixed boundary conditions. Using a conformal mapping it is very easy to deduce the e…