Magnetic ordering near crossover in singlet paramagnetic materials HoBa$_2$Cu$_3$O$_{7-\delta}$ ($\delta=0,\,1.0$)

In an isothermal mode for HoBa$_2$Cu$_3$O$_6$ in a tetragonal phase including anisotropic bilinear interaction, the Zeeman effect, magnetization and differential magnetic susceptibility are calculated. Magnetic ordering in a basal plane in an external magnetic field $\bH\paral[001]$ near the energy levels crossover that is accompanied with the magnetic moment deflection from the field direction is shown to exist. The phase diagram dependence on the anisotropic bilinear interaction parameters, temperature and other factors is studied.