Abstract
A simple approximation scheme is presented for solving the Anderson impurity model within the Noncrossing Approximation (NCA). It is shown that with it the computations reduce to an extent that the scheme can be readily applied to interpret different experiments. The theory is applied to calculate the temperature dependence of the quadrupole moment and of the static and dynamic magnetic susceptibility. The effects of the crystalline electric field (CEF) are thereby incorporated. A comparison of the static susceptibility with exact Bethe ansatz results is given, when the effect of the CEF is neglected. Comparisons with the numerically exact solutions of the NCA are made where they are available. The application of the present theory to YbCu2Si2 is discussed.
Similar content being viewed by others
References
Stewart, G.R.: Rev. Mod. Phys.56, 755 (1984)
Steglich, F.: In: Theory of heavy fermions and valence fluctuations. Kasuya, T., Saso T. (eds.), p. 23. Berlin, Heidelberg, New York: Springer 1985
Ott, H.R.: Prog. Low Temp. Phys.11, 215 (1987)
Czycholl, G.: Phys. Rep.145, 277 (1986)
Lee, P.A., Rice, T.M., Serene, J.W., Sham, L.J., Wilkins, J.W.: Comm. Condens. Matter Phys.12, 99 (1986)
Fulde, P., Keller, J., Zwicknagl, G.: Solid State Phys.41, 1 (1988)
See, for instance, Tsvelick, B.M., Wiegmann, P.B.: Adv. Phys.32, 453 (1983)
Rasul, J.W., Schlottmann, P.: Phys. Rev. B39, 3065 (1989)
Kuramoto, L.: Z. Phys. B-Condensed Matter53, 37 (1983)
Coleman, P.: Phys. Rev. B29, 3035 (1984); Grewe, N.: Z. Phys. B-Condensed Matter53, 271 (1983)
Bickers, N.E., Cox, D.L., Wilkins, J.W.: Phys. Rev. B36, 2036 (1987); see also Cox, D.L.: Thesis, Cornell University (unpublished)
Varma, C., Yafet, L.: Phys. Rev. B13, 2950 (1976)
Gunnarsson, O., Schönhammer, K.: Phys. Rev. B28, 4815 (1983); B31, 4815 (1985)
Müller-Hartmann, E.: Z. Phys. B-Condensed Matter57, 281 (1984);
Kuramoto, Y., Kojima, H.: Z. Phys. B-Condensed Matter57, 95 (1984)
Zevin, V., Zwicknagl, G., Fulde, P.: Phys. Rev. Lett.60, 2331 (1988); J. Magn. Mater.76 & 77, 475 (1988)
Bonville, B., Hodges, J.A., Imbert, P., Jaccard, D., Sierro, J., Besmus, M.J., Meyer, A.: Physica B (in press)
Hodges, J.A., Jehanno, G.: J. Phys. (Paris)45, 1663 (1984)
Bonville, P., Hodges, J.A.: J. Magn. Magn. Mater.47 & 48, 152 (1985)
Thomala, K., Czjzek, G.: Private communication and to be published
Hutchings, M.T.: Solid State Phys.16, 227 (1964)
See Ref. 11 for details of the spectrum shift in the course of iterations of the NCA Eq. (6)
Abragam, A., Bleaney, B.: Electron paramagnetic resonance of transition iones. Chap. 5. Oxford: Clarendon Press 1970
Neumann, G., Langen, J., Zabel, H., Plümacher, D., Kletowski, Z., Schlabitz, W., Wohlleben, D.: Z. Phys. B-Condensed Matter59, 133 (1985)
Wohlleben, D., Röhler, J.: J. Appl. Phys.55, 1904 (1984)
Rasul, J.W., Schlottmann, P.: Phys. Rev. Lett.62, 1325 (1989); see also Ref. 2;
Zevin, V., Zwicknagl, G., Fulde, P.: Phys. Rev. Lett.62, 1325 (1989)
Rajan, V.T.: Phys. Rev. Lett.51, 308 (1983)
Schimizu, T., Yasuoka, J., Fisk, Z., Smith, L.J.: J. Phys. Soc. Japan56, 4113 (1987)
Shiba, H.: Prog. Theor. Phys.54, 967 (1975)
Holland-Moritz, E., Wohlleben, D., Loewenhaupt, M.: Phys. Rev. B25, 7482 (1982)
Currat, R., Lloyd, R.G., Mitchell, P.W., Murani, A.P., Ross, J.W.: Physica B156 & 157, 812 (1989)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zwicknagl, G., Zevin, V. & Fulde, P. Simple approximation scheme for the Anderson impurity Hamiltonian. Z. Physik B - Condensed Matter 79, 365–375 (1990). https://doi.org/10.1007/BF01437646
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01437646