Resistance and Magnetoresistance in Dilute Magnetic Systems

  • J. Souletie


Within the framework of the Hartree—Fock theory of dilute alloys developed by Friedel and Blandin1 a different phase shift \(\left( {\mathop \eta \nolimits_l^ \uparrow \ne \mathop \eta \nolimits_l^ \downarrow } \right)\) is assumed for electrons parallel (↑) or antiparallel (↓) to OZ, the spin axis:
$$\mathop \rho \nolimits^{ \uparrow \left( \downarrow \right)} = \left( {4\pi c/k_F p} \right)\sum\limits_l {\left( {l + 1} \right)} \text{sin}^2 \left( {\mathop \eta \nolimits_l^{ \uparrow \left( \downarrow \right)} - \,\mathop \eta \nolimits_{l + 1}^{ \uparrow \left( \downarrow \right)} } \right)$$
We use atomic units e = h = m = 1; p is the number of electrons per atom of the matrix; c is the concentration; 4πc/k F p is 0.38 n Ω-cm × c (ppm) for a Cu matrix and 0.43 nΩ-cm × c (ppm) for a Au or a Ag matrix.


Phase Shift Spin Axis Negative Magnetoresistance Charge Difference Formal Justification 
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  1. 1.
    A. Blandin and J. Friedel, J. Phys, Radium 20, 160 (1959).CrossRefGoogle Scholar
  2. 2.
    J. Korringa and A.N. Gerritsen, Physica 19, 457 (1953).ADSMATHCrossRefGoogle Scholar
  3. 3.
    J. Souletie, J. Low Temp. Phys. 7, 141 (1972).ADSCrossRefGoogle Scholar
  4. 4.
    J.W. Loram, R.J. White, and A.D.C. Grassie, Phys. Rev. B 5, 3659 (1972).ADSCrossRefGoogle Scholar
  5. 5.
    H. Nagasawa, Sol. St. Comm. 10, 33 (1972).ADSCrossRefGoogle Scholar
  6. 6.
    O. Laborde and P. Radhakrishna, private communication.Google Scholar
  7. 7.
    J.L. Tholence and R. Tournier, 7th Conf. Intern, de Magnétisme, 1970, J. de Physique Suppl., 32, (2–3), Cl-211 (1971).Google Scholar
  8. 8.
    P. Monod, Phys. Rev. Lett. 19, 113 (1967).ADSCrossRefGoogle Scholar
  9. 9.
    F. LaPierre, Thèse de 3ème Cycle, Université de Grenoble, unpublished.Google Scholar
  10. 10.
    M.D. Daybell and W.A. Steyert, Phys. Rev. Lett. 20, 195 (1968).ADSCrossRefGoogle Scholar
  11. 11.
    R. Berman, J. Kopp, and C. T. Walker, in Proc. 11th Intern. Conf. Low Temp. Phys. 1968, St. Andrews University Press, Scotland (1969), pp. 1238–1241.Google Scholar
  12. 12.
    J.L. Tholence and R. Tournier, Phys. Rev. Lett. 25, 867 (1970).ADSCrossRefGoogle Scholar
  13. 13.
    M.T. Béal-Monod and R.A. Wiener, Phys. Rev. 170, 552 (1968).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1974

Authors and Affiliations

  • J. Souletie
    • 1
  1. 1.Centre de Recheches sur les Très Basses TempératuresCNRSGrenoble-CedexFrance

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