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Thermodynamics of spin 12 reduced s-d model with application to (LaCe)Al2 alloys

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  • Maćkowiak, J.
  • Wiśniewski, M.

Abstract

The Hamiltonian HK(B) of the spin 12 s-d exchange model in a uniform magnetic field B is reduced by a method previously applied to HK(0). The reduced s-d Hamiltonian Hr(B) is asymptotically equivalent in the thermodynamic limit to a mean-field hr(B), which exhibits a 2nd order phase transition at Tc if B is weak. hr(B) is applied to (LaCe)Al2 alloys. There is correspondence between theoretical and experimental curves of zero-field susceptibility χi(0, T): the theoretical χi(0, T) has a first-order pole at Tc, below the Kondo temperature TK; the experimental χie(0, T) curve has a finite maximum below TK. The zero-field theoretical specific heat of (LaCe)Al2 exhibits a finite discontinuity at Tc. Above Tc the expression for resistivity coincides with the one given by Kondo and the limiting T → 0 resistivity is finite.

Suggested Citation

  • Maćkowiak, J. & Wiśniewski, M., 1994. "Thermodynamics of spin 12 reduced s-d model with application to (LaCe)Al2 alloys," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 212(3), pages 382-397.
    • Handle: RePEc:eee:phsmap:v:212:y:1994:i:3:p:382-397
    DOI: 10.1016/0378-4371(94)90340-9
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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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