Anisotropic Magnetoresistance in Ferromagnetic 3D Alloys

IEEE Transactions on Magnetics

Volumn 11, Issue 4, 1975, Pages 1018-1038

  Mcguire, T R ^a   Potter, R I ^b  

^a IBM RESEARCH   (United States)

^b IBM ALMADEN RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC ALLOYS - MAGNETIC MATERIALS; METALS AND ALLOYS - MAGNETIC PROPERTIES;

FERROMAGNETIC ALLOYS; MAGNETORESISTANCE;

MAGNETIC MATERIALS;

EID: 0016534124     PISSN: 00189464     EISSN: 19410069     Source Type: Journal    
DOI: 10.1109/TMAG.1975.1058782     Document Type: Article

References (100)

1. W. Thomson, “On the electrodynamic qualities of metals: Effects of magnetization on the electric conductivity of nickel and iron,” Proc. Roy. Soc, vol. 8, pp. 546–550, 1857.
2. D. A. Thompson, L. T. Romankiw, and A. F. Mayadas, “Applications of thin film magnetoresistive transducers,” IEEE Trans. Mag.; vol MAG pp. 1975. (this issue).
3. J. Smit, “Magnetoresistance of ferromagnetic metals and alloys at low temperatures,” Physica, vol. XVI, No. 6, pp. 612–627, June 1951.
4. N. F. Mott and H. H. Wills, Resistance and theremoelectric properties of the transition metals,” Proc. Roy. Soc, vol. A 156, pp. 368–382, 1936.
5. G. T. Meaden, “Conduction electron scattering and the resistance of the magnetic elements,” Cont. Phys.; vol. 12, No. 4, 313–337, 1971.
6. L. W. McKeehan, “Electrical resistance of nickel and permalloy wires as affected by longitudinal magnetization and tension,” Phys. Rev., vol. 36, pp. 948–977, Sept. 1930.
7. R. M. Bozorth, “Magnetoresistance and domain theory of iron-nickel alloys,” Phys, Rev. vol. 70, pp. 923–932, Dec. 1946.
8. Y. Shirakawa, “Magnetoresistance in Co-Ni alloys,” Sci. Rept. Tohoku Univ., Honda vol. pp. 1–26, 1936.
9. R. M. Bozorth, “Ferromagnetism” D. van Nostrand. New York 1951.
10. H. C. van Elst, “The anisotropy in the magnetoresistance of some nickel alloys,” Physica, vol. 25, pp. 708–720, 1959.
11. J. L. Snoek, “The Weiss-Heisenberg theory of ferromagnetism and a new rule concerning magnetostriction and magnetoresistance,” Nature, vol. 163, pp. 837–838, 1949.
12. B. Luthi, “Magnetoresistance measurements of metals in high fields,” Helv. Phys. Acta., vol. 29, pp. 217–219, 1956.
13. M. Kohler “Thoery of magnetoresistance in metals,” Ann. Physik, Vol. 6, pp. 18–38, 1949.
14. R. S. Allgaier, “Galvanomagnetic properties of the simplest transport model,” Phys. Rev., vol. B-8, pp. 4470–4474, Nov. 1973.
15. J. P. Jan, “Galvanomagnetic and thermomagnetic effects in metals,” Solid State Physics, vol. 5, F. Seitz and D. Turnbull Eds. New York, Academic Press, 1957, pp. 1–96.
16. S. Shtrikman and H. Thomas, “Remarks on linear magnetoresistance and magento-heat-conductivity,” Solid State Commun. vol. 3, No. 7, pp. 147–150, July, 1965.
17. Y. Gondo and Z. Funatoyawa, “On the temperature dependency of magnetoresistance of iron single crystal”, J. Phys. Soc. Japan, Vol. 7, No. 1, pp. 41–43, Jan-Feb., 1952.
18. D. C. Price and G. Williams, “Two current conduction in ferromagnetic transition metal alloys.” J. Phys. F: Metal Phys. vol. 3, pp. 810–824, April, 1973.
19. T. R. McGruie and R. J. Gambino, “Magnetoresistance of pure cobalt”. To be published.
20. T. R. McGuire “Magnetoresistance anisotrophy in ferromagnetic Ni-Co alloys” AIP Conf. Proc, to be published, 1975.
21. T. Hiraoka and M. Suzuki, “Magnetoresistance effect in single crystal of Gd,” J. Phys. Soc. Japan, Vol. 31, No. 5, pp. 1361–1365, Nov. 1971.
22. R. V. Colvin, S. Legvold and F. H. Spedding, “Electrical resistivity of heavy rare-earth metals,” Phys. Rev. vol. 120, No. 3, pp. 741–745, Nov. 1960.
23. A. R. Mackintosh and L. E. Spanel, “Magnetoresistance in rare earthsingle crystals,” Sol. State Comm. vol. 2, pp. 383–386, 1964.
24. H. Nagasawa, “Magnetoresistance of neodymium metal”, Phys. Letters, Vol. 41A, pp. 39–40, Aug. 1972.
25. S. Krongelb, A. Gangulee and G. Das, “Annealing of thin magnetic permalloy films,” IEEE Trans. Mag. vol. MAG-9, pp. 568–670, 1973.
26. K. L. Chopra, “Thin Film Phenomena,” Chap. VI McGraw-Hill, New York, 1969.
27. M. Shatzkes, P. Chaudhari, A. Levi and A. F. Mayadas, “Twin boundary resistivity” Phys. Rev. B, vol. 7 pp. 5058–5062, June 1973.
28. E. Klokholm, “Piezoresistance in evaporated nickel films,” J. Vac. Sci. Technol. vol. 10, No. 1, pp. 235–237, Jan./Feb., 1973.
29. H. M. Rosenberg, “Low Temperature Solid State Physics,” Chap. 4, Oxford Press, London, 1963.
30. T. R. McGuire, W. D. Grobman, and D. E. Eastman, “Photoemission studies of Ni-Co alloys having large anisotropic magnetoresistance,” AIP Conf. Proc. vol. 18, pp. 903–908, 1973.
31. T. Farrell and D. Greig, “The electrical resistivity of nickel and its alloys” J. Phys. C (Proc. Phys. Soc.) Ser. 2, Vol. 1, pp. 1359–1369, 1968.
32. K. Fuchs, “Conductivity of thin metallic films,” Proc. Cambridge Phil. Soc, vol. 34, pp. 100–108, 1938.
33. E. H. Sondheimer, “The mean free path of electrons in metals,” Adv. in Phys. vol. 1, pp. 1–42, 1952.
34. R. W. Berry, P. M. Hall and M. T. Harris, “Thin Film Technology”, Chap. 6 Van Nostrand Reinhold, New York, 1968.
35. E. N. Mitchell, H. B. Haukaas, H. D. Bale and J. B. Streeper, “Compositional and thickness dependence of the ferromagnetic anisotropy in resistance of iron-nickel films,” J. Appl. Phys. vol. 35, No. 9, pp. 2604–2608, 1964; also F. C. Williams and E. N. Mitchell, “A study of resistance and magnetoresistance in nickel-iron thin films,” Jap. J. Appl. Phys. vol. 7, No. 7, pp. 739–742, July 1968.
36. T. R. McGuire, G. Bate, Y. T. Chen and H. D. McCabe, “The anisotropic magnetoresistance of Ni.7Co. 3 films,” to be published IEEE Trans, mag. 1975.
37. A. F. Mayadas and M. Shatzkes, “Electrical resistivity model for polycrystaUine films,” Phys. Rev. B, vol. 1, pp. 1382–1389, 1970.
38. R. W. Kinne, Private Communication.
39. J. J. Went, “Linear magnetostriction of homogeneous nickel alloys,” Physica, vol. XVII, No. 2, pp. 98–116, Feb. 1951.
40. M. Yamamoto and T. Nakamichi, “Magnetostriction constants of face-centered cubic nickel-copper and nickel-cobalt alloys.” Sci. Rep. Tohoku Univ. vol. A 5 pp. 168–182, 1953.
41. H. Ashworth, D. Sengupta, G. Schnakenberg, L. Shapiro and L. Berger. “Galvanomagnetic effects, magnetostriction, and spin-orbit interaction in Cu-Ni-Fe and other ferromagnetic nickel alloys,” Phys. Rev. vol. 185, pp. 792–797, Sept. 1969.
42. Vu Dinh Ky, “Theory of the anisotropy of resistance in ferromagnetic metals” Sov. Phys. JETP, vol. 24, No. 5 pp. 995–999, May, 1967.
43. J. Smit, “The spontaneous Hall effect in ferromagnetics,” Physica vol. 21, pp. 877–887, 1955; Physica, vol. 24, pp. 39–51, Jan. 1958.
44. R. Karplus and J. M. Luttinger, “Hall effect in ferromagnetics”, Phys, Rev. vol. 95, No. 5, pp. 1154–1160, Sept. 1954.
45. J. Kondo, “Anomalous Hall effect and magnetoresistance of ferromagnetic metals,” Prog. Theor. Phys. vol. 27, No. 4, pp. 772–792, April, 1962.
46. F. E. Maranzana, “Contributions to the theory of the anomalous Hall effect in ferro-and antiferromagnetic materials. Phys. Rev. vol. 160, No. 2, pp. 421–429, Aug. 1967.
47. L. Berger, “Influence of spin-orbit interaction on the transport processes in ferromagnetic nickel alloys,” Physica, vol. 138, No. 4A, pp. 1083–1087, May 1965.
48. L. Berger, “Side-jump mechanism for the Hall effect in ferromagnets,” Phys. Rev. B, vol. 2, No. 11, pp. 4559–4566, Dec. 1970; Phys. Rev. B, vol. 5, pp. 1862–1869, March 1972.
49. A. K. Majumdar and L. Berger, “Hall effect and magnetoresistance in pure Fe, Fe-Co, and Fe-Cr dilute alloys,” Phys. Rev. B, vol. 7, No. 9, pp. 4203–4220, May, 1973.
50. J. M. Luttinger, “Theory of the Hall effect in ferromagnetic substances,” Phys. Rev. vol. 112, pp. 739–751, Nov. 1958.
51. W. Kohn and J. M. Luttinger, Quantum theory of electrical transport phenomena,” Phys. Rev. vol. 108, pp. 590–611, Nov. 1954.
52. R. R. Birss, Symmetry and Magnetism (North-Holland Publishing Co., Amsterdam, 1964; distributed in U.S.A. by Interscience, N.Y.).
53. Ibid, p. 70.
54. Ibid, pp. 230–231.
55. R. R. Birss, “The saturation magnetostriction of polycrystals”, Proc. Phys. Soc. vol. 75, pp. 8–16, 1960.
56. A. C. Smith, Electronic Conduction in Solids (McGraw-Hill, Inc., 1967), pp. 192–202.
57. J. W. D. Connolly, “Energy bands in ferromagnetic nickel”, Phys. Rev. vol. 159, pp. 415–426, July 1967.
58. D. H. Seib and W. E. Spicer, “Photoemission and optical studies of Cu-Ni alloys”, Phys. Rev., Vol. 2B, pp. 1694–1704, Sept. 1970.
59. N. F. Mott, “The electrical conductivity of transition metals”, Proc. Roy. Soc. London, Vol. A 153, pp. 699–726, 1936.
60. H. Brooks, “Ferromagnetic anisotropy and the itinerant electron model”, Phys. Rev. vol. 58, pp. 909–918, Nov. 1940.
61. L. Berger, “Influence of spin-orbit interaction on the transport processes in ferromagnetic nickel alloys, in the presence of a degeneracy of the 3d band”, Physica, Vol. 30, pp. 1141–1159, 1964.
62. R. I. Potter, “Magnetoresistance anisotropy in ferromagnetic NiCu alloys”, Phys. Rev. B, Vol. 10, pp. 4626–4636, 1974.
63. G. C. Fletcher, “Density of states curve for the 3d electrons in nickel,” Proc. Phys. Soc. London, vol. A65, pp. 192–202, March, 1952.
64. L. Hodges, D. R. Stone and A. V. Gold, “Field-induced changes in the band structure and Fermi surface of nickel, Phys. Rev. Letters, vol. 19, pp. 655–659, Sept. 1967.
65. F. C. Schwerer and J. Silcox, “Low field magnetoresistance of nickel polycrystals”, J. Phys. Chem. Solids, Vol. 32, pp. 199–207, 1971; “Scattering effects in the magnetoresistance of nickel”, Phys. Rev. B, Vol. 1, No. 6, pp. 2391–2404, March 1970.
66. J. Serre and G. Villers, “Effect Hall et magnetoresistance transverse dans Fe7Se8 (Structure NiAs 4c)”, C. R. Acad. Sc Paris, vol. 268B, pp. 162–165, Jan. 1969.
67. I. G. Fakidov and V. P. Krasovskiy, Magnetoresistive properties of manganese phosphides”, Phys. of Metals and Metallography, vol. 7, No. 2, pp. 302–304, 1959.
68. J. Fang, “Magnetoelectric properties of Magnetite” J. Phys. C: Solid State Phys., Vol. 7, to be published, 1975.
69. N. Sueda and H. Fujiwara, “Magnetoresistance effects in iron-rich iron vanadium alloys”, J. Sci. Hiroshima U. Ser. A, vol. 35, pp. 59–68, June 1971.
70. T. R. McGuire, to be published.
71. A. C. Ehrlich, J. A. Dreesen and E. M. Pugh, “Hall effect and magnetoresistance in some nickel-copper-iron alloys”, Phys. Rev. vol. 133, pp. A407-A413, Jan. 1964.
72. M. Galinier, “Some magnetic and galvanomagnetic properties of NiFeMn films”, Thin Films, Vol. 2, pp. 107–117, 1972.
73. A. F. Mayadas, J. F. Janak and A. Gangulee, “Resistivity of permalloy films”, JAP, Vol. 45, No. 6, pp. 2780–2781, June, 1974.
74. E. Klokholm and J. F. Freedman, “Magnetostxess effects in evaporated Ni films”, J. Appl. Phys., vol. 38, pp. 1354–1356, March 1967.
75. R. C. Oldfield, “Stratification in evaporated nickel-iron films”, J. Phys. D: Appl. Phys. vol. 3, pp. 1495–1496, 1970.
76. F. C. Schwerer and J. Silcox, “Electrical resistivity due to dislocations in nickel at low temperatures”, Phil. Mag. vol. 26, pp. 1105–1119, 1972.
77. E. Tatsumoto, K. Kuwahara and M. Goto, “Magnetoresistance effect in the magnetization reversal of permalloy films”, J. Phys. Soc. Japan, Vol. 15, pg. 1703, 1960.
78. F. G. West, “Magnetoresistive measurements on domain rotation innickel-iron alloy films”, Nature, Vol. 188, pp. 129–130, Oct. 1960.
79. S. Middelhoek, “Ferromagnetic domains in thin Ni-Fe films”, Thesis, Drukkerij Wed. G. van Soest N. V. Amsterdam, 1961.
80. K. Kuwahara, “Thickness dependence of the magnetoresistance effect in thin permalloy films”, Trans. Jap. Inst. Metals, Vol. 6, pp. 192–193, 1965.
81. S. Krongelb, “The preparation and properties of magnetoresistive permalloy films”, Jour. Electronic Mat. vol. 2, pp. 228–237, 1973.
82. K. Asama, K. Takahashi and M. Hirano, “Ni-Co Films with large magnetoresistance for bubble detection”, AIP Conf. Proc. No. 18, pp. 110–114, 1973.
83. T. Wako, M. Saheki and T. Moreyama, “Anisotropic electrical resistance in nickel and iron films evaporated in a magnetic field”, Jap. J. Appl. Phys., Vol. 2, pp. 659–660, 1963.
84. A. C. Ehrlich and D. Rivier, “Hall effect, magnetoresistance, resistivity and size effect in Ni”, J. Phys. Chem. Solids vol. 29, pp. 1293–1304, 1968.
85. T. T. Chen and V. A. Marsocci, “Transverse magnetoresistivity anisotropy measurements and the geometrical size effect in nickel thin films”, J. Appl. Phys. vol. 43, pp. 1554–1558, April 1972.
86. V. A. Marsocci, “Magnetoresistance and Hall-voltage measurements on Single-crystal Ni and Ni-Fe thin films”, J. Appl. Phys. vol. 35, pp. 774–775, March 1964.
87. V. A. Marsocci, “Effect of spin-orbit interaction on the magnetoresistance of single-crystal nickel and nickel-iron thin films”, Phys. Rev. vol. 137, No. 6A pp. A 1842-A 1846, March 1965.
88. D. C. Larson, J. E. Christopher, R. V. Coleman and A. Isin, “Magnetoresistance of nickel and iron single-crystal films. J. Vac. Sci. Tech. vol. 6, pp. 670–672, 1969.
89. W. Doring, “Dependence of resistance of Ni crystals on direction of spontaneous magnetization”, Ann. Physik, Vol. 32, pp. 259–276, 1938. (Results of this paper and Kaya 90 will be found in Bozorth [9] pp. 764–766.
90. S. Kaya, “magnetoresistance effect in single crystal of Ni”, Sci. Rept. Tohoku Univ. First Ser., Vol. 17, pp. 1027–1037, 1928.
91. W. Crawford Dunlap Jr., K. Lark-Horovitz and V. A. Johnson “Conductivity measurements on solids”, in Methods of Experimental Physics, Ed. by K. Lark-Horovitz and V. A. Johnson, vol. 6 B, pp. 32–71, Academic Press, New York, 1959.
92. L. J. van der Pauw, “A method of measuring specific resistivity and Hall effect of discs of arbitrary shape”, Philips Res. Repts. vol. 13, pp. 1–9, Feb. 1958.
93. L. J. van der Pauw, “Determination of resistivity tensor and Hall tensor of anisotropic conductors”, Philips Res. Repts., Vol. 16, pp. 190–195, July, 1966.
94. J. D. Wasscher, “Note on four-point resistivity measurements on anisotropic conductors”, Philips Res. Repts., Vol. 16, pp. 301–306, Aug. 1961.
95. J. D. Wasscher “Electrical transport phenomena in MnTe an antiferromagnetic semiconductor” Thesis, Technische Hogeschool, Eindhoven, 30 Sept., 1969.
96. H. C. Montgomery, “Method for measuring electrical resistivity of anisotropic materials”, J. Appl. Phys. vol. 42, pp. 2971–2975, June, 1961.
97. Wu ding Ke “Concerning the planar effect in thin ferromagnetic films”, Bull. Acad. Sci. USSR, Phys. Ser. vol. 29, No. 4, pp. 581–584, April, 1965.
98. R. M. Bozorth, T. R. McGuire, and R. R. Hudson, E. E. Gray “Magnetic properties of materials”, in AIP Physics Handbook, E. E. Gray Ed. 3rd ed. New York: McGraw-Hill, 1972.
99. E. Vogt and M. Hohl, “Magnetic properties of elements and alloys” Landolt-Bomstein Tables, K. H. Hellwege and A. M. Hell-wedge, Eds. vol. 2, part 9, section 29.1, pp. 1–1 to 1-214, Springer-Verlag, Berlin, 1962.
100. L. T. Romankiw and D. A. Thompson, “Magnetic Properties of Plated Films”. Electrochem. Soc. Symposium Vol. Ch. XXIII, R. Sard, H. Leidheiser and F. Ogburn, Eds., Princeton, N.J. 1975.