In the so-called uniform classes HCz, SQz, TRz of random honeycomb, square and triangular ±J Ising models without exterior magnetic field, we investigate the effect of periodic and mixed lattice boundary conditions (b.c.) on the groundstate threshold pc of the spontaneous absolute magnetization...

We start from the so-called uniform classes HCz, SQz, TRz of honeycomb, square and triangular ±J Ising models without exterior magnetic field; z is a fixed number of PAF-bonds on the plaquette perimeter where these bonds have the same positive probability p to be antiferromagnetic and the...

For honeycomb, square and triangular lattices we consider the groundstate threshold pc of spontaneous absolute magnetization in iso- and anisotropic random +/-J Ising models from so-called uniform classes HCz,SQz,TRz. The class index z(⩾1) gives a fixed number of so-called PAF-bonds on the...