Temperature and field dependence of the spin susceptibility and specific heat in one-, two-, and three-dimensional Fermi liquids

The mathematical (or nonanalytic) forms of the free energy F for one-, two-, and three-dimensional Fermi liquids as a function of temperature T and magnetic field H are reviewed and discussed. It is found that, for all dimensions (1D–3D), F cannot be expanded in powers of T² and/or H² and T²=H²=0 gives a branch point. The temperature and field dependence of the spin susceptibility and specific heat are discussed. For 3D systems, the logarithmic terms in F give rise to the phenomenon of the susceptibility maximum with respect to T and H. Recent experiments to confirm the theoretical predictions are described.