Scaling theory of magnetic ordering in the Kondo lattices with anisotropic exchange interactions

Details Scaling theory of magnetic ordering in the Kondo lattices with anisotropic exchange interactions Scaling theory of magnetic ordering in the Kondo lattices with anisotropic exchange interactions

1998-05-29

arxiv.org/abs/cond-mat/9805390v2

Phys. Rev. B 59, 9348 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

Final version, 24 pages, 6 figures, accepted for publication in Physical Review B, tentatively 1 March 1999

Scientific paper

10.1103/PhysRevB.59.9348

The lowest-order scaling consideration of the magnetic state formation in the Kondo lattices is performed within the $s-f$ model with inclusion of anisotropy for both the $f-f$ coupling and $s-f$ exchange interaction. The Kondo renormalizations of the effective transverse and longitudinal $s-f$ coupling parameters, spin-wave frequency, gap in the magnon spectrum and ordered moment are calculated in the case of both ferro- and antiferromagnets. The anisotropy-driven change of the scaling behavior (e.g., critical value of $g$ for entering the strong-coupling region and the corresponding critical exponents) is investigated numerically for N=2 and analytically in the large-N limit. The dependence of the effective Kondo temperature on the bare $s-f$ coupling parameter $g$ weakens in the presence of anisotropy. The relative anisotropy parameters for both the $s-f$ and $f-f$ coupling are demonstrated to decrease during the renormalization process. The role of next-nearest exchange interactions for this effect in the antiferromagnet is discussed.

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