The discovery of magnetism by the ancient Greeks was enabled by the natural occurrence of
lodestone–a magnetized version of the mineral magnetite. Nowadays, natural minerals …

Materials with properties designed on-demand arise in a synergy between theoretical and
experimental approaches. Here, we explore a set of Archimedean lattices, providing a guide …

Clustering is one of the most important properties that determine the function of complex
networks. But the conventional clustering coefficient considers only triangles without a clear …

The interplay between lattice topology, frustration, and spin quantum number, s, is explored
for the Heisenberg antiferromagnet (HAFM) on the 11 two-dimensional Archimedean lattices …

We present a new Canonical Multispin-flip Cluster Monte Carlo algorithm for Ising model
and describe efficient implementations for hybrid supercomputer. Our method takes …

Based on the exact and numerical calculations within the Ising and Potts models on lattices
of various types and dimensions (one-dimensional, square, triangular, hexagonal, kagome …

We present a study of the ground state and stability of the fractional plateau phase (FPP)
with M/Msat= 1/8 in the metallic Shastry–Sutherland system TmB4. Magnetization (M) …

The majority-vote model with noise was studied on the 11 Archimedean lattices by the
Monte Carlo method and finite-size scaling. The critical noises and critical exponents were …

Tessellation of self-assembling molecular building blocks is a promising strategy to design
metal-organic materials exhibiting geometrical frustration and ensuing frustrated physical …

We study the coordination game with an aspiration-driven update rule in regular graphs and
scale-free networks. We prove that the model coincides exactly with the Ising model and …