Abstract
Dynamical property of an intermediate-valence Tm ion in a metallic matrix is investigated by the use of the self-consistent perturbation theory. Both of the fluctuating valence states in Tm have nonzero angular momentum in contrast to Ce and Yb systems. It is shown that the participation of two valence states in the magnetic susceptibility leads to peculiar magnetic properties such as enhanced Korringa-type magnetic relaxation and a systematic deviation from the Curie-Weiss law of the susceptibility. The susceptibility diverges in the zero-temperature limit. The dynamical susceptibility can be fitted by the Lorentzian lineshape very well for a wide frequency and temperature range. The single-particle excitation spectrum is also derived from which the resistivity is calculated. A logarithmic increase of the resistivity with decreasing temperature is found.
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Holtzberg, F., Penny, T., Tournier, R.: J. Phys. (Paris) Colloq.40, C5–231 (1979)
Genicon, J.L., Haen, P., Holtzberg, F., Lapierre, F., Mignot, J.M.: Physica108 B, 1355 (1981)
Loewenhaupt, M., Holland-Moritz, E.: J. Magn. Magn. Mater.14, 227 (1979)
Holland-Moritz, E.: J. Magn. Magn. Mater.38, 253 (1983)
Shapiro, S.M., Grier, B.H.: Phys. Rev. B25, 1457 (1982)
Furrer, A., Bührer, W., Wachter, P.: Valence instabilities. Wachter, P., Boppart, H. (eds.), p. 319. Amsterdam: North-Holland 1982
Haen, P., Laborade, O., Lapierre, F., Mignot, J.M., Holtzberg, F., Penny, T.: Ref. 6, p. 423
Varma, C.M.: Solid State Commun.30, 537 (1979)
Zhang, F., Lee, T.K.: Phys. Rev. B30, 1556 (1984)
Grewe, N.: Z. Phys. B—Condensed Matter53, 271 (1983)
Coleman, P.: Phys. Rev. B29, 3035 (1984)
Keiter, H., Morandi, G.: Phys. Rep.109, 227 (1984)
Kuramoto, Y.: Z. Phys. B—Condensed Matter53, 37 (1983)
Kojima, H., Kuramoto, Y., Tachiki, M.: Z. Phys. B—Condensed Matter54, 293 (1984)
Kuramoto, Y., Kojima, H.: Z. Phys. B—Condensed Matter57, 95 (1984)
Gunnarsson, O., Schönhammer, K.: Phys. Rev. B28, 4315 (1983)
Rasul, J.W., Hewson, A.C.: J. Phys. C17, 2555 and 3337 (1984)
Kuramoto, Y., Kojima, H.: J. Magn. Magn. Mater.47 &48, 329 (1985)
Bickers, N.E., Cox, D.L., Wilkins, J.: Phys. Rev. Lett.54, 230 (1985)
Hirst, L.L.: Adv. Phys.37, 231 (1978)
Mahan, G.D.: Many-particle physics. p. 591. New York: Plenum 1981
Becker, K.W., Keller, J.: Z. Phys. B—Condensed Matter62, 477 (1986)
Müller-Hartmann, E.: Electron correlation and magnetism in narrow-band systems. In: Springer Series in Solid-State Sciences. Moriya, T. (ed.), Vol. 29, p. 178. Berlin, Heidelberg, New York: Springer 1981
Kuramoto, Y., Müller-Hartmann, E.: Valence fluctuations in solids. Falikov, L.M., Hanke, W., Maple, M.B. (eds.), p. 139. Amsterdam: North-Holland 1981
Müller-Hartmann, E.: Z. Phys. B—Condensed Matter57, 281 (1984)
Nozières, P., Blandin, A.: J. Phys. (Paris)41, 193 (1980)
Schlottmann, P.: Z. Phys. B—Condensed Matter59, 391 (1985)
Proetto, C.R., Aligia, A.A., Balseiro, C.A.: Z. Phys. B—Condensed Matter59, 413 (1985)
Lustfeld, H.: Physica113B, 69 (1982)
Yafet, Y., Varma, C.M., Jones, B.: Phys. Rev. B32, 360 (1985)
Tsvelick, A., Wiegmann, P.: Z. Phys. B—Condensed Matter54, 201 (1984)
Andrei, N., Destri, C.: Phys. Rev. Lett.52, 364 (1984)
Fisk, Z., Smith, J.L., Ott, H.R., Batlogg, B.: J. Magn. Magn. Mater.52, 79 (1985)
Schlottmann, P.: Ref. 6, p. 471
Schlottmann, P.: Phys. Rev. B29, 4468 (1984)
Schlottmann, P.: Phys. Rev. B29, 630 (1984)
Fedro, A.J., Sinha, S.K.: Ref. 24, p. 329
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Kuramoto, Y. Self-consistent perturbation theory for dynamics of valence fluctuations. Z. Physik B - Condensed Matter 65, 29–37 (1986). https://doi.org/10.1007/BF01308396
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DOI: https://doi.org/10.1007/BF01308396