The symmetries of critical ground states of two-dimensional lattice models are investigated.
We show how mapping a critical ground state to a model of a rough interface can be used to …

We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a
triangular lattice to an interface model whose entropic fluctuations are proposed to be …

We define a 4-state Potts model ensemble on the square lattice, with the constraints that
neighbouring spins must have different values, and that no plaquette may contain all four …

We study the possibility of long-range ordering (LRO) in a 3D system of vertically stacked
layers of Ising antiferromagnet on a kagome lattice (SIAKL). Monte Carlo simulations are …

We employ a thermodynamic integration method (TIM) to establish the values of the residual
entropy for the geometrically frustrated spin-s triangular Ising antiferromagnet, with the spin …

We study the critical behavior of a frustrated Blume-Capel (BC) antiferromagnet on a
triangular lattice by Monte Carlo simulations. For a reduced single-ion anisotropy strength …

S r 2 C a 2 CoM n 2 O 9 is made of Ising spin chains distributed on a triangular lattice, with
antiferromagnetic coupling between them. In spite of a unique interchain distance, this …

Geometrically frustrated clusters of Ising spins of different shapes on a triangular lattice are
studied by exact enumeration. The focus is laid on the ground-state energy and residual …

We have performed Monte Carlo simulations to investigate the temperature dependence of
the ordering of the side chains of the X-shaped liquid crystal molecules which are arranged …

The possibility of the emergence of some kind of long-range ordering (LRO) due to the
increase of multiplicity of the local degrees of freedom (spin value S) is studied in an Ising …