Fermi liquid parameter

Another important issue requiring further studies is the role of carrier-carrier correlation. It is known that the effect of disorder on carrier-carrier interactions controls the localization and enhances the spin susceptibility (Altshuler and Aronov 1985), and thus the tendency towards ferromagnetism. However, spin-disorder scattering may limit the efficiency of this process (Altshuler and Aronov 1985). If this is the case, LSDA (Jungwirth et al. 1999 Lee et al. 2000) can provide a reasonable evaluation of the relevant Fermi-liquid parameter. 

Y. Kwon, D. M. Ceperley, and R. M. Martin (1994) Quantum Monte Carlo calculation of the Fermi-liquid parameters in the two-dimensional electron gas. Phys. Rev. B 50, pp. 1684-1694... 

Bernu et al. [65] used this method to calculate some excited states of molecular vibrations. Kwon et al. [66] used it to determine the Fermi liquid parameters in the electron gas. Correlation of walks reduced the errors in that calculation by two orders of magnitude. The method is not very stable and more work needs to be done on how to choose the guiding function and analyze the data, but it is a method that, in principle, can calculate a desired part of the spectrum from a single Monte Carlo run. 

The DDM is not expected to lead to the "final" theory of the nucleus. (That would probably be closer to the HFB model mentioned above, or the recently developed Relativistic Fermi Liquid model [ANA83], or something very different.) Hence, no effort is made to find the "best" parameters for each nuclear region, as is done in most of the currently popular models. Instead, all model parameters are given fixed strengths and Z-A-dependences. There are no local parameters. This provides a perfect excuse for not obtaining perfect agreement with the experimental data ... 

Figure 2(b) shows calculations [7] using a Marginal Fermi liquid with parameters chosen to reproduce p(T) for T > 200 K, combined with a commensurate (7r, 7r) SDW gap opening for T < 200 K. The T = 0 gap magnitude was adjusted to correctly locate the maximum in a at T = 0. The calculation is seen to reproduce the data fairly well [compare to Fig. 2(b)],... 

Critical fields give important information about the parametes characterizing the normal Fermi-liquid and the superconducting states [see, e.g., Fetter and Hohenberg (1969)]. The slope of at T, B 2, is influenced by the... 

Three features of Fig. 15a are noteworthy (i) the p(T) curves, which are similar at ambient pressure to those reported by others [80, 81], have a temperature dependence typical for a Fermi liquid however, they are too high and pressure-sensitive for a conventional metal with a mean-free path of more than one lattice parameter (ii) the low-temperature phonon-drag enhancement, which has a maximum at T ax 70 K in the oxide perovskites, is largely suppressed but it is partially restored by pressure (iii) a d a(300 K) / dP > 0 (a is enhanced by 15% in 14 kbar pressure) indicates an anomalous increase in m with pressure. Features (ii) and (iii) were also found in CaV03 where they were shown (see Sect 1.2.1) to be a signature for the existence of strong-correlation fluctuations in a Fermi liquid. The features (i) and (iii) are also present in the metallic phase of the orthorhombic samples, see Fig. 15b, c ... 

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