# Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit

@article{Mancini2013ExactSO, title={Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit}, author={Ferdinando Mancini and Evgeny Plekhanov and Gerardo Sica}, journal={The European Physical Journal B}, year={2013}, volume={86}, pages={1-12} }

We present the exact solution, obtained by means of the Transfer Matrix (TM) method, of the 1D Hubbard model with nearest-neighbor (NN) and next-nearest-neighbor (NNN) Coulomb interactions in the atomic limit (t = 0). The competition among the interactions (U, V1, and V2) generates a plethora of T = 0 phases in the whole range of fillings. U, V1, and V2 are the intensities of the local, NN and NNN interactions, respectively. We report the T = 0 phase diagram, in which the phases are classified…

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