Abstract
We study the paramagnetic phase of the Hubbard model at low density in 2D. In addition to the Landau Fermi liquid phase at small U > 0, in which fk is discontinuous at kF, we find a novel "Quantum Fermi Liquid" (QFL) phase for [Formula: see text](≈ 17 ∊F) in which fk is continuous at kF but df/dk|F = −∞. The lifetime of QFL quasiparticles at kF is τ ∝ T−1 (rather than T−2). The phenomenological "Marginal Fermi Liquid" is identified as a special case of the QFL at [Formula: see text] precisely.
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