Quick Search:
Prog. Theor. Phys. Vol. 40 No. 5 (1968) pp. 919-929
On the Method of Anomalous Green Functions in the Kondo Problem at Zero Temperature
Sadao Nakajima
Institute for Solid State Physics, University of Tokyo, Roppongi, Minato-ku, Tokyo
(Received July 3, 1968)
Abstract:
The method of anomalous Green functions introduced by Takano and Ogawa into the Kondo problem of s-d interaction is reformulated more carefully. It is found that the self-consistency equation should contain the energy shift caused by the s-d interaction as a parameter and therefore can have a non-trivial solution even in the limit of vanishing anomalous Green functions. The equation in this limit has precisely the same form as Yoshimori's secular equation, provided that the most divergent corrections are included into the vertex part.
URL :
http://ptp.ipap.jp/link?PTP/40/919/
DOI : 10.1143/PTP.40.919
References:
- S. Nakajima, Prog. Theor. Phys. 39 (1968), 1402[PTP].
- J. Kondo, Prog. Theor. Phys. 32 (1964), 37[PTP].
-
K. Yosida, Phys. Rev. 147 (1966), 223[APS].
-
A. Yoshimori, Phys. Rev. 168 (1968), 493[APS].
- A. A. Abrikosov, Physics 2 (1965), 5.
- F. Takano and T. Ogawa, Prog. Theor. Phys. 35 (1966), 343[PTP].
- L. P. Gorkov, Sov. Phys. -JETP 7 (1958), 505.
- A. A. Abrikosov, Sov. Phys. -JETP 53 (1967), 1078.
- S. T. Beliaev, Sov. Phys. -JETP 7 (1958), 289.
- P. W. Anderson, Lectures on the Many-Body Problem, vol. 2, Ed. E. R. Caianiello (Academic Press, New York, 1964) p. 125.
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 621-646
:
-
Anomalous Green's Function Theory of the Kondo Effect. I
-
Yasuyuki Kurata
-
Progress of Theoretical Physics Vol. 45 No. 4 (1971) pp. 1050-1071
:
-
One-Particle Green Function Defined for the s-d Bound State. II
-
Kiyoshi Kawamura
