Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-03-18
Physics
Condensed Matter
Statistical Mechanics
40 pages, 9 Postscript figures, to appear in Phys.Rev.B
Scientific paper
10.1103/PhysRevB.55.8267
The quadrupolar ordering in CeB_6 is explained in terms of the electrostatic interaction of quadrupolar moments arranged into a simple cubic lattice. The representation of magnetic and quadrupolar moments by means of quasispins of two kinds is employed. A linear increase of the quadrupolar transition temperature T_Q(H) with applied magnetic field and its further re-entrance are described using a generalized spherical model which is well adjusted to a particular problem of the quadrupolar ordering in CeB_6. The theory naturally explains the growing specific heat jump at T_Q(H) with increasing magnetic field. The role of the quadrupolar ordering in the formation of the magnetic ordering, as well as the possible critical experiments and applications to other rare-earth compounds, are discussed.
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