Tensor-network methods are used to perform a comparative study of the two-dimensional
classical Heisenberg and RP 2 models. We demonstrate that uniform matrix product states …

At low temperatures, the two-dimensional continuous-spin systems exhibit large correlation
lengths. Some of them show the Berezinskii–Kosterlitz–Thouless-like transitions, and some …

We study the classical two-dimensional RP 2 and Heisenberg models, using the tensor-
network renormalization (TNR) method. The determination of the phase diagram of these …

I provide evidence that the 2D RPN− 1 model for N>~ 3 is equivalent to the O (N)-invariant
nonlinear σ model in the continuum limit. To this end, I mainly study particular versions of the …

Monte Carlo computer simulation techniques are used to study the orientational phase
transition in the three-dimensional Lebwohl-Lasher model which couples molecular rotors …

The presence of stable topological defects in a two-dimensional (d= 2) liquid crystal model
allowing molecular reorientations in three dimensions (n= 3) was largely believed to induce …

The standard finite size scaling method for second order phase transition has been applied
to Monte Carlo data obtained for a planar Lebwohl–Lasher lattice model using the Wolff …

Density of states Monte Carlo simulations have been performed to study the isotropic–
nematic (IN) transition of the Lebwohl–Lasher model for liquid crystals. The IN transition …

Controversy regarding transitions in systems with global symmetry group O (3) has attracted
the attention of researchers and the detailed nature of this transition is still not well …

Monte Carlo simulation has been performed in the planar P 2 and P 4 models to investigate
the effects of the suppression of topological defects on the phase transition exhibited by …