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We investigate the quantum phase transitions of the extended Hubbard model athalf-filling with periodic boundary conditions employing the entanglement ofparticles, as opposed to the more traditional entanglement of modes. Ourresults show that the entanglement has either discontinuities or local minimaat the critical points. We associate the discontinuities to first ordertransitions, and the minima to second order ones. Thus we show that theentanglement of particles can be used to derive the phase diagram, except forthe subtle transitions between the phases SDW-BOW, and the superconductorphases TS-SS.

Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model