On the statistical background of the correlation of the magnetic and electrical properties as well as of the creation of a spin-glass state in spinels with chromium

The relation of the magnetic coupling constants and the random distribution of dopants and defects under the percolation threshold is studied. The relation of the 2nd non-linear static magnetic susceptibility and the 2nd harmonic of the dynamic magnetic susceptibility is used for the interpretation of experimental data concerning the spin-glass state obtained as a result of different types of the competitions of the magnetic interactions. Statistical background of the electrical properties as a result of their correlation with the magnetic properties is discussed.