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<p>We explored the phenomenological mean-field theory of antiferromagnetic heavy fermion systems without considering a microscopic mechanism. Using the Bragg–Williams entropy, we describe an extension of the Landau-like free energy by the antiferromagnetic two-sublattice model. We obtained thermal equilibrium sublattice magnetizations by minimizing the free energy of these two-sublattice magnetizations as a function of temperature and the external magnetic field. As an example, we examine the antiferromagnetic heavy fermion compound Ce(Ru<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(_{1-x}\)</EquationSource> </InlineEquation>Rh<InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(_{x}\)</EquationSource> </InlineEquation>)<InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(_{2}\)</EquationSource> </InlineEquation>Si<InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(_{2}\)</EquationSource> </InlineEquation> which exhibits metamagnetism-like behavior, and obtain magnetization curves and a magnetic phase diagram in agreement with experimental observations.</p>

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Phenomenological Mean–Field Theory of Antiferromagnetism and Metamagnetism for Heavy Fermion Compounds with Application to Antiferromagnetic Ce(Ru\(_{1-x}\)Rh\(_{x}\))\(_{2}\)Si\(_{2}\)

  • 期刊论文

  • 发表日期：

    2026年5月13日

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  • Kazuyuki Matsumoto,
  • Shigeyuki Murayama

摘要

We explored the phenomenological mean-field theory of antiferromagnetic heavy fermion systems without considering a microscopic mechanism. Using the Bragg–Williams entropy, we describe an extension of the Landau-like free energy by the antiferromagnetic two-sublattice model. We obtained thermal equilibrium sublattice magnetizations by minimizing the free energy of these two-sublattice magnetizations as a function of temperature and the external magnetic field. As an example, we examine the antiferromagnetic heavy fermion compound Ce(Ru \(_{1-x}\) Rh \(_{x}\) ) \(_{2}\) Si \(_{2}\) which exhibits metamagnetism-like behavior, and obtain magnetization curves and a magnetic phase diagram in agreement with experimental observations.