We report results on ground state properties for a ±J Ising model defined on the Archimedean (4,82) lattice. The sublattice method is adapted to this system. By means of combinatorics and probability analysis, weight functions are obtained allowing to calculate properties such as frustrated...

We report the main results on ground state properties for a ±J Ising model defined on a Dice lattice. The sublattice method is adapted to this non-Archimedean system. By means of combinatorics and probability analysis, weight functions are obtained allowing to calculate properties such as...

Physical magnitudes of ±J Ising systems are determined by their topological properties which depend on the number of frustrated plaquettes and on the distribution of curved plaquettes through the lattice. In the present paper, we consider two-dimensional lattices (3 homogeneous and 3 mixed...

Method of the sublattice previously introduced for homogeneous lattices is adapted here to characterize ground state properties of two inhomogeneous lattices: Kagomé lattice with coordination 4 and Five-points-star lattice with coordination 5. A representative cell must be chosen in each case...