Ks. Bedell et J. Engelbrecht, LOCAL FERMI LIQUIDS - WHERE HAVE ALL THE INSTABILITIES GONE, Philosophical magazine. B. Physics of condensed matter. Statistical mechanics, electronic, optical and magnetic, 74(5), 1996, pp. 633-640
We present the properties of Fermi liquids with the microscopic constr
aint of a local (i.e. momentum independent) self-energy. With this con
straint, the forward-scattering sum rule imposes strong limitations on
the Fermi-liquid parameters, which rule out any Pomeranchuk instabili
ties. For both attractive and repulsive interactions, ferromagnetism a
nd phase separation are suppressed. Superconductivity is possible in a
n s-wave channel only. We also study the approach to the metal-insulat
or transition and find a Wilson ratio approaching the value 2. This ra
tio and other properties of Sr1-xLaxTiO3 are all consistent with the l
ocal Fermi-liquid scenario.