engleski

Spectral properties of quasi-one-dimensional conductors with a finite transverse band dispersion

We determine the one-particle spectral function and the corresponding derived quantities for the conducting chain lattice with finite inter-chain hopping and three-dimensional long-range Coulomb electron– electron interaction. The standard G_0W_0 approximation is used. It is shown that, due to the optical character of the anisotropic plasmon dispersion caused by the finite inter-chain hopping, a low energy quasi-particle delta-peak appears in the spectral function in addition to the hump present at energies of the order of the plasmon energy. Particular attention is devoted to the continuous crossover from the non-Fermi liquid regime to the Fermi liquid regime with increasing inter-chain hopping. It is shown that the spectral weight of the hump transfers to the quasi-particle as the optical gap in the plasmon dispersion increases together with inter-chain hopping. Our approach is appropriate for the wide range of energy scales given by the plasmon energy and the width of the conduction band, and is complementary to the Luttinger liquid techniques that are limited to the low energy regime close to the Fermi surface.

spectral function; quasi-one-dimensional conductors; plasmons

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