We consider the Ising spin 1/2 model on arbitrary pure Husimi lattices. An effective
representation for the recursion relations is found which allows to write the general solution …

We investigate the multisite spin-1/2 Ising-like model in the presence of the external
magnetic field on the pure Husimi lattice with three sites in the elementary polygon (p= 3) …

The multi-branched Husimi recursive lattice is extended to a virtual structure with fractional
numbers of branches joined on one site. Although the lattice is undrawable in real space …

The Husimi recursive lattice is extended to a hybrid ensemble of variable unit cells. This
enables the Husimi lattice to be more versatile in describing complex systems, including …

We consider the p-spin model with spin 1/2 on all pure Husimi lattices. Using an effective
representation of the recursion relations, the phase transitions of the model on all pure …

We revisit different three-dimensional network-forming lattice models proposed in the
literature to investigate water anomalies. We perform a semianalytical calculation based on …

We study spin systems on Bethe lattices constructed from d-dimensional hypercubes.
Although these lattices are not tree-like, and therefore closer to real cubic lattices than Bethe …

An inhomogeneous random recursive lattice is constructed from the multi-branched Husimi
square lattice. The number of repeating units connected on one vertex is randomly set to be …

An inhomogeneous 2-dimensional recursive lattice formed by planar elements has been
designed to investigate the thermodynamics of Ising spin system on the surface/thin film. The …

Square unit in Husimi lattice (the Bethe square lattice) is generalized to be rhombus with
randomly variable angles. The independence feature of unit cells in recursive lattice makes …