We discuss the nature and sequence of phase transitions in two-dimensional systems with
continuous degeneracy, in which other factors must be taken into account in addition to the …

Frustration is a ubiquitous phenomenon in many-body physics that influences the nature of
the system in a profound way with exotic emergent behavior. Despite its long research …

We introduce a novel variance-reducing Monte Carlo algorithm for accurate determination of
correlation times. We apply this method to two-dimensional Ising systems with sizes up to …

The nature of the phase transition for the XY stacked triangular antiferromagnet (STA) is a
controversial subject at present. The field theoretical renormalization group (RG) in three …

В 70-е годы было показано, что в широком классе двумерных систем с непрерывным
вырождением (включающем в себя, в частности, планарные ферромагнетики [1-5] …

It is known that the loss of phase coherence of Cooper pairs in two-dimensional
superconductivity corresponds to the unbinding of vortex-antivortex pairs with the quasi-long …

We study the phase diagram and critical behaviour of the two-dimensional square-lattice
fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the …

The unbinding of kink pairs on domain walls in the fully frustrated XY model (on square or
triangular lattices) is shown to induce the vanishing of phase coupling across the walls. This …

We present the results of our Monte Carlo simulation of the Ising-O (3) model on two-
dimensional (2D) and quasi-2D lattices. This model is an effective classical model for the …

We study the critical behavior of the fully frustrated XY model on a square lattice by means of
extensive histogram Monte Carlo simulations. We find a single transition in contrast to the …