Abstract
Abstract We present the properties of Fermi liquids with the microscopic constraint of a local (i.e. momentum independent) self-energy. With this constraint, the forward-scattering sum rule imposes strong limitations on the Fermi-liquid parameters, which rule out any Pomeranchuk instabilities. For both attractive and repulsive interactions, ferromagnetism and phase separation are suppressed. Superconductivity is possible in an s-wave channel only. We also study the approach to the metal-insulator transition and find a Wilson ratio approaching the value 2. This ratio and other properties of Sri1−xLaxTiO3 are all consistent with the local Fermi-liquid scenario.
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