Luttinger liquid fixed point for a 2D flat Fermi surface

Details Luttinger liquid fixed point for a 2D flat Fermi surface Luttinger liquid fixed point for a 2D flat Fermi surface

2008-01-28

arxiv.org/abs/0801.4327v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.77.195106

We consider a system of 2D interacting fermions with a flat Fermi surface. The apparent conflict between Luttinger and non Luttinger liquid behavior found through different approximations is resolved by showing the existence of a line of non trivial fixed points, for the RG flow, corresponding to Luttinger liquid behavior; the presence of marginally relevant operators can cause flow away from the fixed point. The analysis is non-perturbative and based on the implementation, at each RG iteration, of Ward Identities obtained from local phase transformations depending on the Fermi surface side, implying the partial vanishing of the Beta function.

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