Magnetic Ordering and the Electronic Properties of the Heavy Rare-Earth Metals

R. E. Watson; A. J. Freeman; J. P. Dimmock

doi:10.1103/PhysRev.167.497

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Magnetic Ordering and the Electronic Properties of the Heavy Rare-Earth Metals

R. E. Watson^*

A. J. Freeman^†,‡

J. P. Dimmock^§

Brookhaven National Laboratory, Upton, New York

National Magnet Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts

Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, Massachusetts

^*Supported by the U.S. Atomic Energy Commission.
^†Permanent address: Department of Physics, Northwestern University, Evanston, Ill.
^‡Supported by the U.S. Air Force Office of Scientific Research.
^§Operated with support from the U.S. Air Force.

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Phys. Rev. 167, 497 – Published 10 March, 1968

DOI: https://doi.org/10.1103/PhysRev.167.497

Abstract

The magnetic perturbation of the conduction-electron bands due to the periodic (and ferromagnetic) arrays of $4 f$ moments, occurring in the heavy rare-earth metals, has been estimated from nonrelativistic augmented-plane-wave energy-band results for Tm. The relationship between these perturbations, the ordering period, and other observables, such as the $c$ -axis resistance anomalies, are inspected. Important to these considerations and to an understanding of the ordering of the $4 f$ moments is the magnitude of the perturbation effects which result in sizable gaps relative to the bandwidth in the $5 d$ bands, destroy large segments of Fermi surface (primarily normal to the $c$ axis), and force appreciable redistributions of the populated conduction-electron states.

References (21)

A. J. Freeman, J. O. Dimmock, and R. E. Watson, Phys. Rev. Letters 16, 94 (1966)
J. O. Dimmock, A. J. Freeman and R. E. Watson, in Proceedings of the International Colloquium on Optical Properties and Electronic Structure of Metals and Alloys, edited by F. Abeles (North-Holland Publishing Co., Ansterdam, 1966), p. 237 J. O. Dimmock and A. J. Freeman, Phys. Rev. Letters 13, 750 (1964) (to be published)
J. C. Slater, Phys. Rev. 81, 385 (1951)
R. Gaspar, Acta Phys. Hung. 3, 263 (1954) W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965)
J. C. Slater, Quarterly Progress Report No. 58, Solid-State and Molecular Theory Group, M.I.T., 1965 (unpublished)
S. C. Keeton and T. L. Loucks (to be published)
H. R. Child, Oak Ridge National Laboratory Report No. TM 1063, 1965 (unpublished) R. J. Elliott, in Magnetism, edited by G. Rado and H. Suhl (Academic Press Inc., New York, 1965), Vol. IIA
R. E. Watson and A. J. Freeman, Phys. Rev. 152, 566 (1966) R. E. Watson, in Hyperfine Interactions, edited by A. J. Freeman and R. B. Frankel (Academic Press Inc., New York, 1967)
R. J. Elliott and F. A. Wedgewood, Proc. Phys. Soc. (London) 81, 846 (1963) ibid.84, 63 (1964)
M. Lomer, discussions at U.S.-Japan Science Seminar, Williamstown, Mass., 1967 (unpublished)
H. Nigh, S. Legvold, and F. H. Spedding, Phys. Rev. 132, 1092 (1963)
B. R. Cooper and R. W. Redington, Phys. Rev. Letters 14, 1066 (1965)
C. C. Schüler, Phys. Letters 12, 84 (1964)
[7] P. G. de Gennes, Compt. Rend. 247, 1836 (1958)
M. A. Ruderman and C. Kittel, Phys. Rev. 96, 99 (1954) K. Yosida, ibid. 106, 893 (1957)
T. Kasuya, Progr. Theoret. Phys. (Kyoto) 16, 45 (1956)
P. A. Wolff, Phys. Rev. 129, 84 (1963) B. Giovannini, M. Peter, and J. R. Schrieffer, Phys. Rev. Letters 12, 736 (1964) T. Moriya, Progr. Theoret. Phys. (Kyoto) 34, 329 (1965)
T. A. Kaplan and D. H. Lyons, Phys. Rev. 129, 2072 (1963) F. Specht, 162, 389 (1967)
Pickart and Shirane [J. Appl. Phys. 37, 1032 (1966) (unpublished)] Koehler, [Fifth Rare-Earth Research Conference, Ames, Iowa, 1964 (unpublished)]
D. E. Hegland, S. Legvold, and F. H. Spedding, Phys. Rev. 131, 158 (1963)
Omitted endnote

[c1] A. J. Freeman, J. O. Dimmock, and R. E. Watson, Phys. Rev. Letters 16, 94 (1966)

[c2] J. O. Dimmock, A. J. Freeman and R. E. Watson, in Proceedings of the International Colloquium on Optical Properties and Electronic Structure of Metals and Alloys, edited by F. Abeles (North-Holland Publishing Co., Ansterdam, 1966), p. 237 J. O. Dimmock and A. J. Freeman, Phys. Rev. Letters 13, 750 (1964) (to be published)

[c3] J. C. Slater, Phys. Rev. 81, 385 (1951)

[c4] R. Gaspar, Acta Phys. Hung. 3, 263 (1954) W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965)

[c5] J. C. Slater, Quarterly Progress Report No. 58, Solid-State and Molecular Theory Group, M.I.T., 1965 (unpublished)

[c6] S. C. Keeton and T. L. Loucks (to be published)

[c7] H. R. Child, Oak Ridge National Laboratory Report No. TM 1063, 1965 (unpublished) R. J. Elliott, in Magnetism, edited by G. Rado and H. Suhl (Academic Press Inc., New York, 1965), Vol. IIA

[c8] R. E. Watson and A. J. Freeman, Phys. Rev. 152, 566 (1966) R. E. Watson, in Hyperfine Interactions, edited by A. J. Freeman and R. B. Frankel (Academic Press Inc., New York, 1967)

[c9] R. J. Elliott and F. A. Wedgewood, Proc. Phys. Soc. (London) 81, 846 (1963) ibid.84, 63 (1964)

[c10] M. Lomer, discussions at U.S.-Japan Science Seminar, Williamstown, Mass., 1967 (unpublished)

[c11] H. Nigh, S. Legvold, and F. H. Spedding, Phys. Rev. 132, 1092 (1963)

[c12] B. R. Cooper and R. W. Redington, Phys. Rev. Letters 14, 1066 (1965)

[c13] C. C. Schüler, Phys. Letters 12, 84 (1964)

[c14] [7] P. G. de Gennes, Compt. Rend. 247, 1836 (1958)

[c15] M. A. Ruderman and C. Kittel, Phys. Rev. 96, 99 (1954) K. Yosida, ibid. 106, 893 (1957)

[c16] T. Kasuya, Progr. Theoret. Phys. (Kyoto) 16, 45 (1956)

[c17] P. A. Wolff, Phys. Rev. 129, 84 (1963) B. Giovannini, M. Peter, and J. R. Schrieffer, Phys. Rev. Letters 12, 736 (1964) T. Moriya, Progr. Theoret. Phys. (Kyoto) 34, 329 (1965)

[c18] T. A. Kaplan and D. H. Lyons, Phys. Rev. 129, 2072 (1963) F. Specht, 162, 389 (1967)

[c19] Pickart and Shirane [J. Appl. Phys. 37, 1032 (1966) (unpublished)] Koehler, [Fifth Rare-Earth Research Conference, Ames, Iowa, 1964 (unpublished)]

[c20] D. E. Hegland, S. Legvold, and F. H. Spedding, Phys. Rev. 131, 158 (1963)

[c21] Omitted endnote

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Magnetic Ordering and the Electronic Properties of the Heavy Rare-Earth Metals

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