Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains
Abstract
We study the crossover from the one-dimensional to the two-dimensional Hubbard model in the photoemission spectra of weakly coupled chains. The chains with on-site repulsion are treated using the spin-charge factorized wave function, that is known to provide an essentially exact description of the chain in the strong coupling limit. The hoppings between the chains are considered as a perturbation. We calculate the dynamical spectral function at all energies in the random-phase approximation, by resuming an infinite set of diagrams. Even though the hoppings drive the system from a fractionalized Luttinger-liquid-like system to a Fermi-liquid-like system at low energies, significant characteristics of the one-dimensional system remain in the two-dimensional system. Furthermore, we find that introducing (frustrating) hoppings beyond the nearest neighbor one, the interference effects increase the energy and momentum range of the one--dimensional character.
Keywords
Cite
@article{arxiv.1102.0245,
title = {Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains},
author = {P. Ribeiro and P. D. Sacramento and K. Penc},
journal= {arXiv preprint arXiv:1102.0245},
year = {2011}
}
Comments
22 pages, 10 figures