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Prog. Theor. Phys. Vol. 48 No. 4 (1972) pp. 1106-1132

Nonexistence of Complete Ferromagnetism

Takeo Izuyama

Institute of Physics, College of General Education, University of Tokyo, Komaba, Meguro-ku, Tokyo

(Received March 11, 1972)

Abstract:

Ferromagnetism in perfect crystals with the inversion symmetry is investigated on the basis of certain non-relativistic models for magnetic carriers. The models are characterized by the following simplifications; 1) the magnetic carriers are completely separated from the other constituents of the ferromagnets and 2) the exchange integrals between the atomic orbitals belonging to different unit cells are ignored. In other respects, the models are fairly general. Intra-atomic exchange integrals associated with the Hund coupling are retained. By varying parameters of the models, we may or may not be able to obtain the ground states of complete electron spin alignment. It is shown rigorously that complete ferromagnetism, if obtained, should inevitably be accompanied by the vanishing exchange stiffness of the spin wave spectrum, provided that the ground state of complete ferromagnetism is quasi-nondegenerate and a thermodynamic limit is required to exist. The result seems to suggest that such complete ferromagnetism is impossible.

URL : http://ptp.ipap.jp/link?PTP/48/1106/
DOI : 10.1143/PTP.48.1106

[ Full Text PDF : FREE ACCESS (1956K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1066-1067 :

   Spin Current Correlations and Ferromagnetism. I

   Takeo Izuyama

2. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1068-1069 :

   Spin Current Correlations and Ferromagnetism. II

   Takeo Izuyama

3. Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1772-1773 :

   Spin Current Correlation and Ferromagnetism. III

   Takeo Izuyama

4. Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1774-1775 :

   A Comment on the Conductivity Sum Rule

   Takeo Izuyama

5. Progress of Theoretical Physics Vol. 50 No. 3 (1973) pp. 841-860 :

   Longitudinal Conductivity Sum Rule

   Takeo Izuyama

6. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1265-1284 :

   A Kinematical Theorem on Ferromagnetism

   Takeo Izuyama

7. Progress of Theoretical Physics Vol. 56 No. 6 (1976) pp. 1674-1688 :

   The Thomas-Kuhn Sum Rule and Superfluidity. I

   Takeo Izuyama

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