Nonanalytic corrections to the specific heat and susceptibility of a two-dimensional Fermi liquid without Galilean invariance

We consider the leading nonanalytic temperature dependence of the specific heat and temperature and momentum dependence of the spin susceptibility for two-dimensional fermionic systems with noncircular Fermi surfaces. We demonstrate the crucial role played by Fermi surface curvature. For a Fermi surface with inflection points, we demonstrate that thermal corrections to the uniform susceptibility in D=2 change from χs T to χs T2 3 for generic inflection points and to χs T1 2 for special inflection points along symmetry directions. Errors in previous work are corrected. An application of the results to Sr2 Ru O4 is given.