Non-Fermi Liquid Behaviour in d = 2 Spatial Dimension

Details Non-Fermi Liquid Behaviour in d = 2 Spatial Dimension Non-Fermi Liquid Behaviour in d = 2 Spatial Dimension

1997-05-07

arxiv.org/abs/cond-mat/9705057v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, LaTeX (with REVTeX), 3 Postscript figures, submitted to Phys. Rev. Lett

Scientific paper

We consider a local effective model for fermionic low lying excitations in a metal. Introducing a boson auxiliary field and taking into account that the most significant interactions between quasiparticles arise for those which are near a given point on the Fermi surface, we find that the effective boson-fermion interaction is singular for a spatial dimension d=2. We regularize the theory and apply the renormalization group method. As we vary the coupling constant as a function of an energy scale parameter we show that the model undergoes a non-perturbative regime in which the Fermi liquid theory is no longer valid.

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