Low-Temperature Expansion of the Transport Coefficients and Specific Heat of Fermi Liquids

The low-temperature expansion of the properties of Fermi liquids is discussed within the framework of Landau's theory. It is shown that the leading corrections to the low-temperature asymptotic forms come mainly from the scattering of quasiparticles with small energy and momentum transfer, and that they are proportional to $T^3$ for the inverse mean free times for thermal conductivity and spin diffusion, and to $T^3\ln T$ for the specific heat. The energy and damping of a quasiparticle are calculated from the same point of view. The special case of a nearly ferromagnetic Fermi liquid is considered explicitly, and comparison is made with results already obtained from a Green's-function approach, from the random-phase approximation, and from the concept of "paramagnons."