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Prog. Theor. Phys. Vol. 53 No. 5 (1975) pp. 1286-1301
Perturbation Expansion for the Anderson Hamiltonian. III
Kei Yosida and
Kosaku Yamada
Institute for Solid State Physics, University of Tokyo, Roppongi, Tokyo
(Received November 8, 1974)
Abstract:
Thermodynamical quantities are expanded in perturbation series with respect to the Coulomb repulsion U for the Anderson Hamiltonian with electron-hole symmetry and their general terms of perturbation are investigated. By these processes the mutual relations among these quantities are discussed. it is confirmed that the thermodynamical quantities such as the specific heat and the scattering t-matrix are expressed in terms of two quantities; the even and odd parts of the susceptibility as far as low-lying excitations are concerned. These results are entirely consistent with the Nozières phenomenological Fermi liquid theory based on the s-d exchange model.
URL :
http://ptp.ipap.jp/link?PTP/53/1286/
DOI : 10.1143/PTP.53.1286
References:
- K. Yosida and K. Yamada, Prog. Theor. Phys. Suppl. No. 46 (1970), 244[PTP].
-
P. W. Anderson, Phys. Rev. 124 (1961), 41[APS].
- K. Yamada, Prog. Theor. Phys. 53 (1975), 970[PTP].
-
N. Menyhárd, Solid State Commun. 12 (1973), 215[CrossRef].
-
P. Nozières, J. Low Temp. Phys. 17 (1974), 31[CrossRef].
- W. Brenig and J. Zittartz, Magnetism, edited by H. Suhl (Academic Press, 1973), Vol. V, p. 185.
- P. W. Anderson and G. Yuval, Magnetism, edited by H. Suhl (Academic Press, 1973), Vol. V, p. 217.
- K. Yosida and A. Yoshimori, Magnetism, edited by H. Suhl (Academic Press, 1973), Vol. V, p. 253.
- K. Wilson, Collective Properties of Physical Systems, Nobel Symposium 24 (Academic Press, 1974).
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