Anisotropy of the magnetization and Faraday rotation in paramagnetic erbium gallium garnet under high magnetic field

Extension of the molecular-field theory on the magnetic behaviors in paramagnetic Dy3Ga5O12

“…Substituting Eqs. (4), (5), (10) and (11) into Eqs. (8) and (9), the formulae of M A and M B can be rewritten as…”

“…Recently, we suggest that the exchange interaction between rare-earth ions should be taken into account in the calculations of the magnetic properties in some paramagnetic rare-earth gallium garnets by the quantum theory, especially in high-magnetic fields [2,10,11], although it is much smaller than rare-earth-iron exchange interaction in rare-earth iron garnet [12]. Moreover, it is noted that, in the analyses of the magnetic properties in rare-earth aluminum garnets, a long-range interaction named as dipole-dipole interaction should be rigorously taken into account [13].…”

High field magnetic anisotropy in praseodymium gallium garnet at low temperatures

“…However, unfortunately, till now, theoretical interpretations associated with some of those experimental phenomena have not been introduced. Recently, we present reasonable explanations on magnetic properties of paramagnetic rare-earth erbium and ytterbium gallium garnets in high magnetic fields by quantum theory, where it is emphasized that crystal field and exchange interaction between rare-earth ions have great influence on magnetic behaviors in rare-earth gallium garnets [7]. Now, in this paper, the magnetic anisotropy of praseodymium gallium garnet (PrGG) under extreme conditions is theoretically analyzed by considering the actions of crystal field and exchange interaction.…”

Theoretical investigation of magnetic property in paramagnetic neodymium gallium garnet under high magnetic field

“…Fewer theoretical studies appear on the rare-earth gallium garnets (RGaG), particularly, under high magnetic field. In our previous paper, the anisotropy of the magnetization in ErGaG under high magnetic field has been analyzed [10,11].…”