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  • Articles: DFG German National Licenses  (4)
  • 2000-2004  (2)
  • 1970-1974  (2)
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  • Articles: DFG German National Licenses  (4)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 41 (2004), S. 395-412 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. We introduce new fast canonical local algorithms for discrete and continuous spin systems. We show that for a broad selection of spin systems they compare favorably to the known ones except for the Ising $\pm$ 1 spins. The new procedures use discretization scheme and the necessary information have to be stored in computer memory before the simulation. The models for testing discrete spins are the Ising $\pm$ 1, the general Ising S or Blume-Capel model, the Potts and the clock models. The continuous spins we examine are the O(N) models, including the continuous Ising model (N = 1), the $\phi^4$ Ising model (N = 1), the XY model (N = 2), the Heisenberg model (N = 3), the $\phi^4$ Heisenberg model (N = 3), the O(4) model with applications to the SU(2) lattice gauge theory, and the general O(N) vector spins with $N\ge5$ .
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 230 (1970), S. 99-107 
    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
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  • 3
    ISSN: 1090-6487
    Keywords: 75.10.−b ; 64.60.Ak ; 64.60.Cn ; 05.10.Ln
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the critical behavior of frustrated systems by means of the Padé-Borel resummed three-loop renormalization group expansions and numerical Monte Carlo simulations. Amazingly, for six-component spins, where the transition is second-order, both approaches disagree. This unusual situation is analyzed both from the point of view of the convergence of the resummed series and from the possible relevance of nonperturbative effects.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 235 (1970), S. 155-165 
    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
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