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Anomalous low-temperature behavior of strongly correlated Fermi systems

“…Experimental data for most heavy-fermion systems show no evidence of ferromagnetism. The same is true for 2D liquid 3 He. 1,3 This implies that close to the critical point, the respective Pomeranchuck stability condition In summary, we have studied the impact of flattening of the single-particle spectrum on the spin susceptibility χ(T ) and the specific heat C(T ) of strongly correlated Fermi systems.…”

“…10 we present in Fig.2 the results of numerical calculations of these quantities as functions of the normalized temperatures T /T P and T /T M to demonstrate that our model reproduces the experimental scaling behavior of the spin susceptibility 10 of the heavy fermion metal CeRu 2 Si 2 and that of the specific heat 13 of the heavy fermion compound YbRh(Si 0.95 Ge 0.05 ) 2 , without adjustable parameters. It should be emphasized that the curves given in Fig.2 remain the same whether one is working with heavy fermion metals or 2D liquid 3 He. This universality, predicted by our model, can be tested with the aid of a new apparatus 20 designed for measurements of thermodynamic properties of 2D liquid 3 He in static magnetic fields.…”

“…One may expect the same to be true for anisotropic systems, e.g. for 2D liquid 3 He, where the enhancement of M * is associated with the crystal lattice of the substrate.…”

“…χ −1 (T, H) = χ −1 (T, 0) + T 2/3 F (H/T ), in agreement with available experimental data. Manifestations of non-Fermi-liquid (NFL) behavior observed at extremely low temperatures T in a number of strongly correlated Fermi systems, 1,2,3,4,5,6,7,8,9,10 notably 3 He films and heavy-fermion metals, provide valuable clues to a fundamental microscopic understanding of these systems. This anomalous behavior is commonly attributed to antiferromagnetic spin fluctuations, and numerous strategies have been advanced (e.g.…”

“…1,3,4,5 We are therefore compelled to explore a different strategy, in which NFL anomalies are attributed to fermionic degrees of freedom and specifically associated with flattening of the single-particle spectrum ξ(p) in the immediate vicinity of ρ ∞ . Near this point, the FL formula…”