Spectral Function of 2D Fermi Liquids

Details Spectral Function of 2D Fermi Liquids Spectral Function of 2D Fermi Liquids

1997-06-13

arxiv.org/abs/cond-mat/9706143v2

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, LaTeX2e, 5 EPS figures

Scientific paper

10.1103/PhysRevB.57.8873

We show that the spectral function for single-particle excitations in a two-dimensional Fermi liquid has Lorentzian shape in the low energy limit. Landau quasi-particles have a uniquely defined spectral weight and a decay rate which is much smaller than the quasi-particle energy. By contrast, perturbation theory and the T-matrix approximation yield spurious deviations from Fermi liquid behavior, which are particularly pronounced for a linearized dispersion relation.

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