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Scattering resonances and two-particle bound states of the extended Hubbard model

arXiv:0903.4574 · doi:10.1088/0953-4075/42/12/121001

Abstract

We present a complete derivation of two-particle states of the one-dimensional extended Hubbard model involving attractive or repulsive on-site and nearest-neighbour interactions. We find that this system possesses scattering resonances and two families of energy-dependent interaction-bound states which are not present in the Hubbard model with the on-site interaction alone.

4 pages, 4 figures