  Phase transition and current of planar clusters with loops of Josephson $\pi$
junction is of great importance for application in the adiabatic quantum
computation devices (AQC). Each $\pi$-ring possesses an orbital moment with a
current. The orientation of these orbital moments is altered by
self-interactions and controlled with a bias current. In the current research,
we construct the phase diagram of semi-hydrogenated SiB (H-SiB) semiconductor
using a two-dimensional (2D) Ising model with considering nearest-neighbor and
diagonal interactions of spin planes on the on the hexagonal lattice. Our
findings reveal that by decreasing temperature, two phase transitions of order
and disorder occur and at low temperatures a glassy state appears, where this
model maps to spin qubit. We theoretically study the magnetostriction effect by
considering of laser electromagnetic field coupled to the spin planes of
electric polarization of magnetic insulator for both unstrained and strained
H-SiB monolayers. The dynamic of laser-spin coupling and spin current shows
nonlinear optical effects and high-harmonic generation (HHG) under both
terahertz (THz) and gigahertz (GHz) electromagnetic waves. The findings of this
research open an avenue for experimentalists how to detect HHG in the
topological insulators, Dirac systems, Mott insulators, and superconducting
memories.
