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.

arXiv comment22 pages, 10 figures

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• Spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping
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• Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model
• Dimensional-crossover-driven Mott transition in the frustrated Hubbard model
• Mott Quantum Criticality in the Anisotropic 2D Hubbard Model
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Quantum criticality of bandwidth-controlled Mott transition