<p>This provides a major review of the two-level system Kondo model, as applied to metallic glasses, nanoscale devices and some doped semiconductors; and the quadripolar and magnetic two-channel Kondo models developed for rare-earth and actinide ions with crystal splitting metals. These contrast with the simple single-channel model, and allow the study of non-Fermi liquid physics. This book forms a valuable and unique source of information for statistical and condensed matter physicists and graduate students.<br>Key Features: <br>* An invaluable and unique source of information on this highly popular area of condensed matter physics<br>* Based upon a special edition of the Advances in Physics journal<br>* Magnetic impurities in metals present a major challenge to condensed matter physicists, for which a strong starting point has long been the early insights of Kondo into the resistance medium</p> 1. Introduction 2. Model Hamiltonians 3. Scaling Theory of Kondo Models 4. Numerical Renormalization Group Approach 5. Non-crossing Approximation 6. Conformal Field Theory and Abelian Bosonization Methods 7. Bethe-Ansatz Method 8. Experimental Results 9. Related Theoretical Developments 10. Conclusions and Directions 11. Acknowledgements 12. Appendices A, B, C and D 13. References
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