Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions

Details Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions

1999-03-30

arxiv.org/abs/cond-mat/9903431v3

Phys.Rev.Lett. 83 (1999) 128

Physics

Condensed Matter

Strongly Correlated Electrons

Shortened version to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.83.128

We consider the low-energy region of an array of Luttinger liquids coupled by a weak interchain hopping. The leading logarithmic divergences can be re-summed to all orders within a self-consistent perturbative expansion in the hopping, in the large-dimension limit. The anomalous exponent scales to zero below the one-particle crossover temperature. As a consequence, coherent quasiparticles with finite weight appear along the whole Fermi surface. Extending the expansion self-consistently to all orders turns out to be crucial in order to restore the correct Fermi-liquid behavior.

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