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A perturbation expansion for the free energy of the s-d exchange Hamiltonian

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  • Maćkowiak, J.
  • Wiśniewski, M.

Abstract

The first- and second-order terms of a perturbation expansion of free-energy density of the s-d exchange Hamiltonian with random impurity positions, in the presence and absence of an external magnetic field B, are evaluated. The reduced s-d Hamiltonian Hr(B) is chosen for the Hamiltonian of the unperturbed system. For weak fields B, the expansion takes different forms at temperatures T > Tc and T < Tc, Tc being the temperature at which Hr(B) exhibits a second-order phase transition.

Suggested Citation

  • Maćkowiak, J. & Wiśniewski, M., 1997. "A perturbation expansion for the free energy of the s-d exchange Hamiltonian," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(3), pages 482-500.
    • Handle: RePEc:eee:phsmap:v:242:y:1997:i:3:p:482-500
    DOI: 10.1016/S0378-4371(97)00261-6
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    References listed on IDEAS

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    1. Lowenstein, Mark A, 1983. "Worker Heterogeneity, Hours Restrictions, and Temporary Layoffs," Econometrica, Econometric Society, vol. 51(1), pages 69-78, January.
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