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  • 1970-1974  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Tomonaga's model and the Kondo problem (1970)
    Springer
    The European physical journal 230 (1970), S. 99-107 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An expression for the free energy of thes-d-exchange Hamiltonian for the caseS=1/2 is derived using Tomonaga's model for the description of the free electrons. Thereby a formal equivalence can be established to the thermodynamics of a classical gas of charged particles distributed on a ring with alternating charges interacting via a log sin-potential. Although we are unable to calculate the free energy in a closed form, the result clearly indicates that as the exchange interaction changes sign the behavior of the free energy is changed significantly for low temperatures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01394619
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the spin fluctuation approach to the anderson and Kondo hamiltonians (1970)
    Springer
    The European physical journal 235 (1970), S. 155-165 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The free energy expression of the full Anderson model is derived in a similar way as has been done before for the Kondo model. Use is made of the “asymptotic time approximation” first invented to study the x-ray threshold singularity. Again the procedure leads to a classical Coulomb gas on a ring. The magnetic field is included and plays the role of an electric field for the Coulomb gas. Further it turns out that the “symmetric” Anderson model (2ε d =−U) is identical to the antiferromagnetic Kondo model. The method and the results suggest the construction of a “polaron” model which in the approximation used is equivalent to the Kondo model as well as the Anderson model. From this a new picture of the “Kondo effect” in terms of spin fluctuations is developed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01395166
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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