Abstract
We calculate the density of states for the nondegenerate Anderson model for various values ofu=U/πΔ andn f using the perturbation theory withu as the expansion parameter. Summing all the ω-independent self-energy diagrams, we use the Friedel sum rule and Ward identities to express the physical quantities in terms of the remaining ω-dependent part of the self-energy, which we evaluate to the 2nd order. The results for the spin and charge susceptibilities obtained in such a way compare rather well with the Bethe-ansatz results. The density of states exhibits different features in different parts of the parameter space. In Kondo region (u>1,n f ≅1, i.e., −ε f ~U/2≫Δ), we obtain a many-body resonance (half-width ∼T K ) around the Fermi level and two broad peaks (∼Δ) at about ε f +n f U and ε f +U. In the VF region (u>1, and ε| f |≦Δ) we obtain only two peaks (∼Δ), one at about ε f and one between ε f +n f U and ε f +U. The consequences regarding the shape of the photoemission and inverse photoemission spectra of Ce intermetallics are discussed.
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Aliev, F.G., Brandt, N.B., Moshchalkov, V.V., Chudinov, S.M.: Solid State Commun.47, 693 (1983)
Bredl, C.D., Horn, S., Steglich, F.: Phys. Rev. Lett.52, 1982 (1984)
Schlottmann, P.: Z. Phys. B—Condensed Matter54, 207 (1984);56, 127 (1984)
Rasul, J.W., Hewson, A.C.: J. Phys. C16, L933 (1983);17, 2555 (1984);17, 3337 (1984)
Kawakami, N., Tokuono, S., Okiji, A.: J. Phys. Soc. Jpn.53, 51 (1984)
Tsvelick, A.M., Wiegmann, P.B.: (unpublished)
Proceedings of the International Conference on Valence Fluctuations, Köln, 1984. Amsterdam: North Holland 1984
Yosida, K., Yamada, K.: Prog. Theor. Phys. Suppl.46, 244 (1970)
Yamada, K.: Prog. Theor. Phys.53, 970 (1975)
Horvatić, B., Zlatić V.: Phys. Status Solidi (b)99, 251 (1980);111, 65 (1982)
Zlatić, V., Horvatić, B.: Phys. Rev. B28, 6904 (1983)
Krishna-murthy, H.R., Wilkins, J.W., Wilson, K.G.: Phys. Rev. B21, 1003, 1044 (1980)
Wiegmann, P.B., Filyov, V.M., Tsvelick, A.M.: JETP Lett.35, 92 (1982)
Wiegmann, P.B., Tsvelick, A.M.: J. Phys. C16, 2281 (1983)
Wiegmann, P.B., Tsvelick, A.M.: Adv. Phys.32, 453 (1983)
Kawakami, N., Okiji, A.: J. Phys. Soc. Jpn.51, 1145 (1982)
Kawakami, N., Okiji, A.: J. Phys. Soc. Jpn.51, 2043 (1982)
Okiji, A., Kawakami, N.: J. Phys. Soc. Jpn.51, 3192 (1982)
Okiji, A., Kawakami, N.: Phys. Rev. Lett.50, 1157 (1983)
Horvatić, B., Zlatić, V.: Solid State Commun.54 (1985)
Parks, R.D., Raaen, S., den Boer, M.L., Chang, Y.-S., Williams, G.P.: Phys. Rev. Lett.52, 2176 (1984)
Wieliczka, D.M., Olson, C.G., Lynch, D.W.: Phys. Rev. Lett.52, 2180 (1984)
Gunnarsson, O., Schönhammer, K.: Phys. Rev. B28, 4315 (1983)
Yoshimori, A.: Prog. Theor. Phys.55, 67 (1976)
Zlatić, V., Grüner, G., Rivier, N.: Solid State Commun.14, 639 (1974)
Salomaa, M.: Solid State Commun.39, 1105 (1981)
Razafimandimby, H., Fulde, P., Keller, J.: Z. Phys. B—Condensed Matter54, 111 (1984)
Coleman, P., Anderson, P.W., Ramakrishnan, T.V.: Preprint (1984)
Aliev, F.G., Brandt, N.B., Moshchalkov, V.V., Chudinov, S.M.: J. Low Temp. Phys.57, 61 (1984)
Doniach, S.: Phys. Rev. B2, 3898 (1970)
Langreth, D.C.: In: Collective properties of physical systems. Nobel Symposia24, 210 (1973)
Gumhalter, B.: Prog. Surf. Sci.15, 1 (1984)
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Zlatić, V., Horvatić, B. & Šokčević, D. Density of states for intermediate valence and Kondo systems. Z. Physik B - Condensed Matter 59, 151–157 (1985). https://doi.org/10.1007/BF01725531
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DOI: https://doi.org/10.1007/BF01725531