Abstract
A new analytical approach of the problem of magnetic and quadrupolar phase transitions in rare-earth intermetallic compounds is presented, in terms of single-ion susceptibilities and within the Landau theory: The coefficients of the free-energy expansion are simply related to several magnetic, strain, and quadrupolar crystal-field susceptibilities, the expression of which is given for any multilevel system. The analysis of sign and relative magnitude of these susceptibilities leads to the different possible phase diagrams. Several examples are taken among the cubic rare-earth intermetallic compounds.

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