Abstract
In this lecture we want to discuss some properties of a single magnetic impurity imbedded in a metal matrix. We assume that the impurity is described completely by its spin operators S z, S ± = (S x ± S y)/ \(sqrt 2\). For the sake of simplicity we assume the spin to be ½. The metal we will approximate as a free Fermi gas of conduction electrons, and as the interaction between impurity and matrix we will use a simplified exchange contact Hamiltonian. Such a model presents a reasonable description of simple metals like copper or gold containing a small fraction of magnetic ions like Fe, Mn or Cr. Direct measurements of magnetic properties can be performed by determining the spin polarization in an external static magnetic field, or by measuring hyperfine splittings for the impurity nucleus. Hyperfine techniques also provide information about the dynamical behaviour of the impurity spin. In the following we will focus our attention on the static zero field susceptibility and on the zero field excitation spectrum of the impurity.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Schrieffer, J.R. and Wolff, P.A. (1966). Phys. Rev., 149, 491.
Tomonaga, S. (1950). Prog. Theor. Phys. (Kyoto), 5, 544.
Schotte, H.D. and Schotte, U. (1969). Phys. Rev., 182, 479; (1970). Z. Phys., 230, 99.
Slichter, C.P. (1963). Principles of Magnetic Resonance, (Harper and Row, New York).
Bloch, F. and Nordsieck, A. (1937). Phys. Rev., 52, 54.
Nozières, P. and de Dominicis, C.I. (1969). Phys. Rev., 178, 1084.
Kondo, J. (1969). Advances in Solid State Physics, (Academic Press, New York), 23, 183.
Zubarev, D.N. (1960). Usp. Fiz. Nauk, 71, 71
Kadanoff, L.P. and Martin, P.C. (1963). Ann. Phys. (N.Y.), 24, 419.
Anderson, P.W. and Yuval, G. (1969). Phys. Rev. Lett., 23, 89
Anderson, P.W., Yuval, G. and Hamann, D.R. (1970). Phys. Rev., B1, 4464.
Götze, W. and Schlottmann, P. (1974). Solid State Commun., 13, 17, 511, 861; J. Low Temp. Phys., 16, 87.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Plenum Press, New York
About this chapter
Cite this chapter
Götze, W. (1976). The Static and Dynamic Impurity Spin Susceptibility of Kondo Alloys. In: Łopuszański, J.T., Pękalski, A., Przystawa, J. (eds) Magnetism in Metals and Metallic Compounds. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0016-9_5
Download citation
DOI: https://doi.org/10.1007/978-1-4757-0016-9_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0018-3
Online ISBN: 978-1-4757-0016-9
eBook Packages: Springer Book Archive