Geodesic
Effective interactions in the periodic Anderson model in the regime of
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 2, pp. 235-249 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the periodic Anderson model in the strong correlation regime, we construct the effective Hamiltonian $H_{\mathrm{eff}}$ up to terms of the fourth order in the parameter $V/U$, where $V$ is the hybridization interaction intensity and $U$ is the intra-atom Coulomb repulsion strength. This Hamiltonian contains interactions inducing both magnetic ordering and Cooper instability under conditions of a mixed valency of rare-earth ions. Based on numerical calculations, we obtain information about the dependences of the effective interaction parameters on the distance between crystal lattice sites. We demonstrate that realizing exchange interactions corresponds to a strongly frustrated system of localized spin moments and facilitates the suppression of the antiferromagnetic order parameter with a possible transition to the state of a quantum spin liquid. It is essential that among the terms in $H_{\mathrm{eff}}$ inducing the transition to the superconductivity phase, there are terms resulting in the $d$-type symmetry of the superconductivity order parameter; such a symmetry is realized in many heavy-fermion compounds.
Keywords: periodic Anderson model, mixed valency, heavy fermion, effective Hamiltonian, superconductivity. 
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V. V. Val'kov; D. M. Dzebisashvili. Effective interactions in the periodic Anderson model in the regime of. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 2, pp. 235-249. http://geodesic.mathdoc.fr/item/TMF_2008_157_2_a5/

[1] E. Bauer, G. Hilscher, H. Michor et al. (eds.), Proc. Int. Conf. on Strongly Correlated Electron Systems (Vienna, Austria, July 26–30, 2005), Physica B, 359–361 (2005) ; H. Harima, H. Kawamura, Y. Kitaoka et al. (eds.), Proc. 17th Int. Conf. on Magnetism (Kyoto, Japan, August 20–25, 2006), J. Magn. Magn. Mater., 310:2 (2007), 169–944 ; 945–1882 ; 1883–2892 | DOI | MR | DOI | DOI

[2] Yu. A. Izyumov, N. I. Chaschin, D. S. Alekseev, Teoriya silno korrelirovannykh sistem. Metod proizvodyaschego funktsionala, RKhD, M.-Izhevsk, 2006

[3] C. M. Varma, Comments Solid State Phys., 11 (1985), 221

[4] K. A. Kikoin, M. N. Kiselev, A. S. Mishchenko et al., Phys. Rev. B, 59:23 (1999), 15070–15084 | DOI

[5] Y. Bang, Mixed moment wave function for magnetic heavy fermion compounds, arXiv: cond-mat/0206247

[6] C. Pépin, Phys. Rev. Lett., 98 (2007), 206401 ; Kondo breakdown as a selective Mott transition in the Anderson lattice, arXiv: cond-mat/0610846 | DOI

[7] J. R. Schrieffer, P. A. Wolff, Phys. Rev., 149:2 (1966), 491–492 | DOI

[8] C. Lacroix, M. Cyrot, Phys. Rev. B, 20:5 (1979), 1969–1976 | DOI

[9] C. Proetto, A. López, Phys. Rev. B, 24:6 (1981), 3031–3036 | DOI

[10] D. F. Digor, P. Entel, M. Marinaro i dr., TMF, 127:2 (2001), 304–316 | DOI | Zbl

[11] A. Hübsch, K. W. Becker, Eur. Phys. J. B, 52:3 (2006), 345–353 | DOI

[12] L.-J. Zhou, Q.-Q. Zheng, J. Magn. Magn. Mater., 109:2–3 (1992), 237–242 | DOI

[13] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, Nauka, M., 1965 | MR | MR

[14] P. Fulde, Electron Correlations in Molecules and Solids, Springer Ser. Solid-State Sci., 100, Springer, Berlin, 1995 | DOI

[15] Yu. A. Izyumov, UFN, 167:5 (1997), 465–497 | DOI