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The Anderson Lattice and Universal Properties of Heavy Fermion Systems
Abstract Using the Kondo Boson − 1/N expansion, we solve for the Fermi liquid properties of the Anderson lattice at low temperatures. The Kondo limit of this model is shown to necessarily induce large mass enhancements m*/m ≫ 1, and generate a low lying energy scale $$\bar{T}_K \;\alpha\; (m*/m)^{-1}$$ , which dominates the dynamics of this heavy Fermi liquid. In particular, our calculation leads to the following predictions: (1) The specific heat $$C_v = \gamma T \;\alpha\; T/\bar{T}_K$$ with corrections $$\Delta C_v = \left( {T/\bar T_K } \right)^3 \log \left( {T/\bar T_K } \right)$$ (2) The zero temperature spin susceptibility $$\chi \;\alpha \;1/{\bar T_K}$$ , and (3) the resistivity $$\rho \;\alpha\; \left(T/\bar{T}_K\right)^2$$ . We analyze recent pressure dependent C v , χ and ρ/T 2 measurements on UPt3 to confirm the scaling of these quantities with a single strongly pressure dependent energy scale. The universality of these relations is supported by evidence of systematic trends throughout the entire class of heavy fermion compounds.
The Anderson Lattice and Universal Properties of Heavy Fermion Systems
Abstract Using the Kondo Boson − 1/N expansion, we solve for the Fermi liquid properties of the Anderson lattice at low temperatures. The Kondo limit of this model is shown to necessarily induce large mass enhancements m*/m ≫ 1, and generate a low lying energy scale $$\bar{T}_K \;\alpha\; (m*/m)^{-1}$$ , which dominates the dynamics of this heavy Fermi liquid. In particular, our calculation leads to the following predictions: (1) The specific heat $$C_v = \gamma T \;\alpha\; T/\bar{T}_K$$ with corrections $$\Delta C_v = \left( {T/\bar T_K } \right)^3 \log \left( {T/\bar T_K } \right)$$ (2) The zero temperature spin susceptibility $$\chi \;\alpha \;1/{\bar T_K}$$ , and (3) the resistivity $$\rho \;\alpha\; \left(T/\bar{T}_K\right)^2$$ . We analyze recent pressure dependent C v , χ and ρ/T 2 measurements on UPt3 to confirm the scaling of these quantities with a single strongly pressure dependent energy scale. The universality of these relations is supported by evidence of systematic trends throughout the entire class of heavy fermion compounds.
The Anderson Lattice and Universal Properties of Heavy Fermion Systems
Auerbach, Assa (Autor:in) / Levin, K. (Autor:in)
01.01.1987
5 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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