Pressure Dependence of the Knight Shift in V Metal

Toshimoto Kushida; J. C. Murphy

doi:10.1103/PhysRev.178.433

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Pressure Dependence of the Knight Shift in V Metal

Toshimoto Kushida and J. C. Murphy

Physics Department, Ford Motor Company, Dearborn, Michigan 48121

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Phys. Rev. 178, 433 – Published 10 February, 1969

DOI: https://doi.org/10.1103/PhysRev.178.433

Abstract

The pressure dependence of the Knight shift $K$ in V metal is measured. The explicit temperature dependence of $K$ is derived from a previously obtained $K (T)$ at constant pressure and the present pressure-dependence data. Several methods of estimating the volume dependence of the $d$ -band susceptibility $χ_{d}$ are discussed. Using the estimated value for $\frac{d \ln χ_{d}}{d \ln v}$ , the volume dependence of the orbital Knight shift $K_{0}$ was derived. It is concluded that the volume dependence of $〈 r^{- 3} 〉$ plays an important role for the volume dependence of $K_{0}$ .

References (56)

G. B. Benedek and T. Kushida, J. Phys. Chem. Solids 5, 241 (1958)
T. J. Rowland, J. Phys. Chem. Solids 7, 95 (1958)
A. M. Clogston, V. Jaccarino, and Y. Yafet, Phys. Rev. 134, A650 (1964)
Toshimoto Kushida and Lajos Rimai, Phys. Rev. 148, 593 (1966)
A. M. Clogston, A. C. Gossard, V. Jaccarino, and Y. Yafet, Phys. Rev. Letters 9, 262 (1962)
Bin Okai, Yoshito Onoda, Shigeru Minomura, and Sueo Nakamura, Technical Report of the Institute for Solid State Physics, The University of Tokyo, Ser. A, No. 315, 1968 (unpublished)
L. E. Drain, Proc. Phys. Soc. (London) 83, 755 (1964)
W. E. Blumberg, J. Eisinger, V. Jaccarino, and B. T. Matthias, Phys. Rev. Letters 5, 149 (1960) ([9]) [9] ([30]) [7] ([30])
Masao Shimizu, Takeshi Takahashi, and Atsushi Katsuki, J. Phys. Soc. Japan 18, 1192 (1963)
Toshimoto Kushida and J. C. Murphy (to be published)
J. T. Hickmott, Jr., T. Kushida, and J. C. Murphy, Rev. Sci. Instr. 38, 29 (1967)
L. E. Drain, Proc. Colloq. Ampère 13, 181 (1965)
P. W. Bridgman, The Physics of High Pressure (G. Bell and Sons, Ltd., London, 1949), p. 160
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Yukio Obata, J. Phys. Soc. Japan 18, 1020 (1963)
R. J. Noer and W. D. Knight, Rev. Mod. Phys. 36, 177 (1964)
K. Yosida, Phys. Rev. 110, 769 (1958)
J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957)
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W. D. Knight, Proc. Colloq. Ampère 13, 190 (1965) [22]
R. Huguenin and D. Baldock, Phys. Rev. Letters 16, 795 (1966)
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D. O. Van Ostenburg, D. J. Lam, H. D. Trapp, and D. W. Pracht, Phys. Rev. 135, A455 (1964)
C. H. Towns, C. Herring, and W. D. Knight, Phys. Rev. 77, 852 (1950)
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[41]
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[38], p. 68

[c1] G. B. Benedek and T. Kushida, J. Phys. Chem. Solids 5, 241 (1958)

[c2] T. J. Rowland, J. Phys. Chem. Solids 7, 95 (1958)

[c3] A. M. Clogston, V. Jaccarino, and Y. Yafet, Phys. Rev. 134, A650 (1964)

[c4] Toshimoto Kushida and Lajos Rimai, Phys. Rev. 148, 593 (1966)

[c5] A. M. Clogston, A. C. Gossard, V. Jaccarino, and Y. Yafet, Phys. Rev. Letters 9, 262 (1962)

[c6] Bin Okai, Yoshito Onoda, Shigeru Minomura, and Sueo Nakamura, Technical Report of the Institute for Solid State Physics, The University of Tokyo, Ser. A, No. 315, 1968 (unpublished)

[c7] L. E. Drain, Proc. Phys. Soc. (London) 83, 755 (1964)

[c8] W. E. Blumberg, J. Eisinger, V. Jaccarino, and B. T. Matthias, Phys. Rev. Letters 5, 149 (1960) ([9]) [9] ([30]) [7] ([30])

[c9] Masao Shimizu, Takeshi Takahashi, and Atsushi Katsuki, J. Phys. Soc. Japan 18, 1192 (1963)

[c10] Toshimoto Kushida and J. C. Murphy (to be published)

[c11] J. T. Hickmott, Jr., T. Kushida, and J. C. Murphy, Rev. Sci. Instr. 38, 29 (1967)

[c12] L. E. Drain, Proc. Colloq. Ampère 13, 181 (1965)

[c13] P. W. Bridgman, The Physics of High Pressure (G. Bell and Sons, Ltd., London, 1949), p. 160

[c14] D. E. Gray, American Institute of Physics Handbook (McGraw-Hill Book Co. New York, 1963), 2nd ed., p. 466

[c15] G. K. White, Cryogenics 2, 292 (1962)

[c16] T. Muto, S. Kobayasi, M. Watanabe, and H. Kozima, J. Phys. Chem. Solids 23, 1303 (1962)

[c17] Ryogo Kubo and Yukio Obata, J. Phys. Soc. Japan 11, 547 (1956)

[c18] L. E. Orgel, J. Phys. Chem. Solids 21, 123 (1961)

[c19] J. Butterworth, Phys. Rev. Letters 5, 305 (1960)

[c20] J. Korringa, Physica 16, 601 (1950)

[c21] Yukio Obata, J. Phys. Soc. Japan 18, 1020 (1963)

[c22] R. J. Noer and W. D. Knight, Rev. Mod. Phys. 36, 177 (1964)

[c23] K. Yosida, Phys. Rev. 110, 769 (1958)

[c24] J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957)

[c25] R. H. Hammond and G. M. Kelly, Phys. Rev. Letters 18, 156 (1967)

[c26] W. D. Knight, Proc. Colloq. Ampère 13, 190 (1965) [22]

[c27] R. Huguenin and D. Baldock, Phys. Rev. Letters 16, 795 (1966)

[c28] J. Butterworth, Proc. Phys. Soc. (London) 83, 71 (1964)

[c29] A. M. Clogston, A. C. Gossard, V. Jaccarino, and Y. Yafet, Rev. Mod. Phys. 36, 170 (1964)

[c30] D. O. Van Ostenburg, D. J. Lam, H. D. Trapp, and D. W. Pracht, Phys. Rev. 135, A455 (1964)

[c31] C. H. Towns, C. Herring, and W. D. Knight, Phys. Rev. 77, 852 (1950)

[c32] T. Muto and S. Kobayasi, J. Phys. Soc. Japan 19, 1837 (1964) [3,26,28]

[c33] ([5]) ([28]) ([29]) ([9]) ([8])

[c34] D. S. Schreiber, Phys. Rev. 137, A860 (1965) [3,6,9,22,28,29]

[c35] [28] [9] H. Nagasawa, Sumiko K. Togawa, and Yuzo Tomono, J. Phys. Soc. Japan 21, 588 (1966)

[c36] R. E. Watson and A. J. Freeman, Phys. Rev. 123, 2027 (1961)

[c37] G. B. Benedek and J. Armstrong, J. Appl. Phys. 32, 106S (1961)

[c38] G. B. Benedek, Magnetic Resonance at High Pressure (Interscience Publishers Inc., New York, 1963), p. 18

[c39] W. Marshall, Phys. Rev. 110, 1280 (1958)

[c40] I. V. Svechkarev and A. S. Panfilov, Zh. Eksperim i Teor. Fiz. Pis'ma v Redaktsiyu 2, 501 (1965) [English transl.: JETP Letters 2, 313 (1965)]

[c41] F. J. Morin and J. P. Maita, Phys. Rev. 129, 1115 (1963)

[c42] [34]

[c43] G. A. Matzkanin and T. A. Scott, Phys. Rev. 151, 360 (1966)

[c44] F. Borsa and R. G. Barnes, J. Phys. Chem. Solids 27, 567 (1966)

[c45] Yoshika Masuda, Kunisuke Asayama, Shun-ich Kobayashi, and Junkichi Itoh, J. Phys. Soc. Japan 19, 460 (1964)

[c46] J. H. O. Varley, Proc. Roy. Soc. (London) A237, 413 (1956)

[c47] E. Fawcett and G. K. White, Bull. Am. Phys. Soc. 11, 78 (1966)

[c48] J. L. Olsen and H. Rohrer, Helv. Phys. Acta 33, 872 (1960)

[c49] E. P. Harris and D. E. Mapother, Phys. Rev. 165, 522 (1968)

[c50] J. L. Olsen, E. Bucher, M. Levy, J. Muller, E. Corenzwit, and T. Geballe, Rev. Mod. Phys. 36, 168 (1964)

[c51] E. Bucher and J. L. Olsen, in Proceedings of the Eighth International Conference on Low Temperature Physics (Butterworths Scientific Publications Ltd., London, 1963), p. 139

[c52] I. V. Berman, N. B. Brandt, and N. I. Ginzburg, Zh. Eksperim i Teor. Fiz. 54, 49 (1968) [English transl.: Soviet Phys. —JETP 26, 86 (1968)]

[c53] [41]

[c54] D. O. Van Ostenburg, J. J. Spokas, and D. J. Lam, Phys. Rev. 139, A713 (1965)

[c55] Y. Yafet and V. Jaccarino, Phys. Rev. 133 A1630 (1964)

[c56] [38], p. 68

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Pressure Dependence of the Knight Shift in V Metal

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