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Some applications of the multichannel Kondo problem

Physica B Condensed Matter
Publication Date
DOI: 10.1016/0921-4526(94)00376-7
  • Electrons And Spins In Strongly Correlated Systems


Abstract We review analytical and numerical results derived from the Bethe ansatz solution of the n-channel Kondo model as a function of temperature, external field, impurity spin S and the number of channels n. Three situations have to be distinguished: (i) if n = 2 S the conduction electrons exactly compensate the impurity spin into a singlet at low temperatures; (ii) if n < 2 S the impurity is only partially compensated (undercompensated), and (iii) if n > 2 S the impurity spin is said to be overcompensated giving rise to critical behavior. The results are discussed in the context of magnetic impurities, e.g. Fe, Cr and Tm in simple metals, the quadrupolar Kondo effect and electron assisted tunnelling of an atom in a double-well potential.

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