Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions
Strongly Correlated Electrons
2009-10-31 v3 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.cond-mat/9903431,
title = {Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions},
author = {Enrico Arrigoni},
journal= {arXiv preprint arXiv:cond-mat/9903431},
year = {2009}
}
Comments
Shortened version to appear in Physical Review Letters