Abstract
Many cerium alloys and compounds are characterized by heavy-fermion behaviour due to the Kondo effect. In the case of a lattice, there is a strong competition between the Kondo effect and magnetic ordering, which has been described by the Doniach diagram. We describe here the Kondo-lattice model within a mean-field treatment of the Hamiltonian, including both the s-f exchange intra-site interaction and the nearest neighbour inter-site f-f interaction in the three following cases: first, we treat the non-magnetic case and discuss the effects of conduction band filling on the occurrence of the Kondo effect; second, we describe the antiferromagnetic to Kondo transition; and third, the spin-glass to Kondo transition, both as a function of the intra-site interaction for a finite inter-site interaction. Comparison with experimental data in cerium systems is presented.
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References
A. C. Hewson, The Kondo Problem to Heavy Fermions, Cambridge University Press (1993).
P. Fulde, Electron correlations in molecules and solids, Solid-State Sciences 100, Springer (1995).
B. Coqblin, B. H. Bernhard, J. R. Iglesias, C. Lacroix and K. Le Hur, in Electron Correlations and Materials Properties,ed. by A. Gonis, N. Kioussis and M. Ciftan, Kluwer Academic/Plenum Publishers, pp. 225–250 (1999) and references therein.
N. Grewe and F. Steglich, in Handbook on the Physics and Chemistry of Rare-earths, ed. by K. A. Gschneidner Jr. and L. Eyring, Elsevier Science B. V., vol. 14, 343 (1991).
J. G. Sereni, in Handbook on the Physics and Chemistry of Rare-earths, ed. by K. A. Gschneidner Jr. and L. Eyring, , vol. 15, 1 (1991).
Y. Onuki and A. Hasegawa, in Handbook on the Physics and Chemistry of Rare-earths, ed. by K. A. Gschneidner Jr. and L. Eyring, Elsevier Science B. V., vol. 20, 1 (1995).
Proceedings of the SCES’96 Conference, Zürich, North Holland Elsevier, Physica B, 230–232 (1997).
Proceedings of the SCES’98 Conference, Paris, North Holland Elsevier, Physica B, 259–261 (1999).
Proceedings of the SCES’99 Conference, Nagano, North Holland Elsevier, Physica B, 281–282 (2000).
B. Coqblin, The electronic structure of Rare-Earth Metals and Alloys: the magnetic Heavy Rare-Earths, Academic Press, New-York (1977).
B. Coqblin, in Magnetism of Metals and Alloys, ed. by M. Cyrot, North Holland Publishing Company, Chap. 3, pp. 295–377 (1982).
A. Jayaraman, Phys. Rev. 137, A179 (1965).
P. Lethuillier and P. Haen, Phys. Rev. Lett. 35, 1391 (1975).
M. B. Maple and D. Wohlleben, Phys. Rev. Lett. 27, 511 (1971).
P. Haen, F. Lapierre, J. M. Mignot, R. Tournier and F. Holtzberg, Phys. Rev. Lett. 43, 304 (1979).
R. Jullien, E. Galleani d’Agliano and B. Coqblin, Phys. Rev. B 6, 2139 (1972).
C. Geibel et al., Z. Phys. B 83, 305 (1991) and 84, 1 (1991).
B. Coqblin, J. Arispe, J. R. Iglesias, C. Lacroix and K. Le Hur, J. Phys. Soc. J.pan Suppl. B 65, 64 (1996).
B. Coqblin and A. Blandin, Adv. in Phys. 17, 281 (1968).
R. Ramirez and L. M. Falicov, Phys. Rev. B 3, 2425 (1971).
J. W. Allen and R.M. Martin, Phys. Rev. Lett. 49, 1106 (1982).
M. Lavagna, C. Lacroix and M. Cyrot, J. Phys. F 13, 1007 (1983).
J. Kondo, Theoret. Phys. (Kyoto) 32, 37 (1964).
B. Coqblin and J. R. Schrieffer, Phys. Rev. 185, 847 (1969).
B. Cornut and B. Coqblin, Phys. Rev B 5, 4541 (1972).
K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975).
P. Nozieres, J. Low Temp. Phys. 17, 31 (1974).
S. Doniach, Proceedings of the “Int. Conf. on Valence Instabilities and Related Narrow-band Phenomena”, ed. By R. D. Parks, Plenum Press, 168 (1976).
B. Barbara, H. Bartholin, D. Florence, M.F. Rossignol and E. Walker, Physica B 86–88, 177 (1977).
F. Nolting, A. Eichler, S. A. M. Mentink and J.A. Mydosh, Physica B 199–200, 614 (1994).
T. Graf, J. D. Thompson, M. F. Hundley, R. Movshovich, Z. Fisk, D. Mandrus, R. A. Fischer and N. E. Phillips, Phys. Rev. Lett. 78, 3769 (1997).
J. Flouquet, S. Kambe, L. P. Regnault, P. Haen, J.P. Brison, F. Lapierre and P. Lejay, Physica B 215, 77 (1995).
F. Steglich, J. Magn. Magn. Mater. 226–230, 1 (2001).
E. Bauer, Adv. in Phys. 40, 417 (1991).
K. Alami-Yadri, H. Wilhelm and D. Jaccard, Physica B 259–261, 157 (1999).
C. U. Segre, M. Croft, J. A. Hodges, V. Murgai, L. C. Gupta and R. D. Parks, Phys. Rev. Lett. 49, 1947 (1982).
H. Wada, M. F. Hundley, R. Movshovich and J. D. Thompson, Phys. Rev. 59, 1141 (1999).
P. Nozieres, Eur. Phys. J. B 6, 447 (1998).
A. Eiling and J. S. Schilling, Phys. Rev. Lett. 46, 364 (1981).
Y. Uwatoko, T. Ishii, G. Oomi and S. Malik, Physica B 206–207, 199 (1995).
J. Flouquet, P. Haen, P. Lejay, P. Morin, D. Jaccard, J. Schweizer, C. Vettier, R. A. Fisher and N.E. Phillips, J.M.M.M. 90–91, 377 (1990).
P. Link and D. Jaccard, Physica B 223–224, 303 (1996).
P. Link and D. Jaccard, Physica B 230–232, 31 (1997); D. Jaccard, P. Link, E. Vargoz and K. Alami-Yadri, Physica B 230–232, 297 (1997).
J. R. Iglesias, C. Lacroix and B. Coqblin, Phys. Rev.B 56, 11820 (1997).
S. Sullow, M.C. Aronson, B.D. Rainford and P. Haen, Phys. Rev. Lett. 82, 2963 (1999)
H. Wilhelm, K. Alami-Yadri, B. Revaz and D. Jaccard, Phys. Rev. B 59, 3651 (1999).
J. Rossat-Mignod, L. P. Regnault, J. L. Jacoud, C. Vettier, P. Lejay, J. Flouquet, E. Walker, D. Jaccard and A. Amato, J.M.M.M. 76–77, 376 (1988).
J. Pierre, P. Haen, C. Vettier and S. Pujol, Physica B 163, 463 (1990).
L. P. Regnault, W. A. C. Erkelens, J. Rossat-Mignod, P. Lejay, J. Flouquet, Phys. Rev. B 38, 4481 (1988).
J. M. Mignot, J. L. Jacoud, L. P. Regnault, J. Rossat-Mignod, P. Haen, P. Lejay, P. Boutrouille, B. Hennion and D. Petitgrand, Physica B 163, 611 (1990).
L. P. Regnault, J. L. Jacoud, J. M. Mignot, J. Rossat-Mignod, C. Vettier, P. Lejay and J. Flouquet, Physica B 163, 606 (1990).
S. Doniach, Physica B 91, 231 (1977).
R. Jullien, P. Pfeuty, A. K. Bhattacharjee and B. Coqblin, J. Appl. Phys. 50, 7555 (1979).
H. Tsunetsugu, M. Sigrist and K. Ueda, Rev. Modern Phys. 69, 809 (1997).
R. Jullien and P. Pfeuty, J. Phys. F 11, 353 (1981).
H. Tsunetsugu, Y. Hatsugai, K. Ueda and M. Sigrist, Phys. Rev. B 46, 3175 (1992).
A. R. Ruppenthal, J. R. Iglesias and M. A. Gusmâo, Phys. Rev. B 60, 7321 (1999).
B. Coqblin, M. A. Gusmâo, J. R. Iglesias, C. Lacroix, A. Ruppenthal and Acirete S. Da R. Simoes, Physica B 281–282, 50 (2000).
C. Lacroix, J. R. Iglesias and B. Coqblin, presented at SCES’01, Ann Arbor, USA (August 2001), to be published in Physica B (2002).
B. Coqblin, M. A. Gusmâo, J. R. Iglesias, A. Ruppenthal and C. Lacroix, J. Magn. Magn. Mater. 226–230, 115 (2001).
J. Garcia Soldevilla, J. C. Gomez Sal, J. A. Blanco, J. I. Espeso and J. Rodriguez Fernandez, Phys. Rev. B 61, 6821 (2000).
J. C. Gomez Sal, J. Garcia Soldevilla, J. A. Blanco, J. I. Espeso, J. Rodriguez Fernandez, F. Luis, F. Bartolomé and J. Bartolomé, Phys. Rev. B 56, 11741 (1997).
D. Eom, M. Ishikawa, J. Kitagawa and N. Takeda, J. Phys. Soc. Japan, 67, 2495 (1998).
S. Majumdar, E. V. Sampathkumaran, St. Berger, M. Della Mea, H. Michor, E. Bauer, M. Brando, J. Hemberger and A. Loidl, to be published.
D. Huo, J. Sakurai, T. Kuwai, Y. Isikawa and Q. Lu, to be published.
Alba Theumann, B. Coqblin, S.G. Magalhaes and A. A. Schmidt, Phys. Rev. B 63, 054409 (2001).
D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975).
A. M. Sengupta and A. Georges, Phys. Rev. B 52, 10295 (1995).
M. N. Kiselev and R. Oppermann, Pis’ma Zh. Eksp. Teor. Fiz. 71, 359 (2000).
Alba Theumann and Mercedes Vieira Gusmäo, Phys. Lett. A 105, 311 (1984).
M. A. Continentino, G. M. Japiassu and A. Troper, Phys. Rev. B 39, 9734 (1989).
A. N. Tahvildar-Zadeh, M. Jarrell and J. K. Freericks, Phys. Rev. B 55, R 3332 (1997).
A. J. Arko, J. J. Joyce, J. Sarrao, Z. Fisk, J. L. Smith, J. D. Thompson, M. Hundley, A. Menovsky, A. Tahvildar-Zadeh and M. A. Jarrell, in “Electron Correlations and Materials Properties”, ed. by A. Gonis, N. Kioussis and M. Ciftan, Kluwer Academic/ Plenum Publishers,pp. 33–58 (1999), and references therein.
S. Burdin, A. Georges and D. R. Grempel, Phys. Rev. Lett. 85, 1048 (2000).
B. H. Bernhard, C. Lacroix, J. R. Iglesias and B. Coqblin, Phys. Rev. B 61, 441 (2000).
A. H. Castro-Neto and B. A. Jones, Phys. Rev. B 62, 14975 (2000).
K. Umeo, T. Takabatake, T. Suzuki, S. Hane, H. Mitamura and T. Goto, Phys. Rev. B 64, 144412 (2001).
K. Umeo, T. Takabatake, H. Ohmoto, T. Pietrus, H. v. Löhneysen, K. Koyama, S. Hane and T. Goto, Phys. Rev. B 58, 12095 (1998).
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Coqblin, B. et al. (2002). The Kondo-Lattice Model for Cerium Compounds. In: Gonis, A., Kioussis, N., Ciftan, M. (eds) Electron Correlations and Materials Properties 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3760-8_8
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DOI: https://doi.org/10.1007/978-1-4757-3760-8_8
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