Phase diagram of the SU$(3)$ Fermi-Hubbard model with next-neighbor interactions

Abstract

We explore the zero-temperature phase diagram of a one-dimensional gas composed of three-color fermions, which interact locally and with their next neighbors. Using the density matrix renormalization group method and considering one-third filling, we characterize the ground state for several values of the parameters, finding diverse phases, namely: phase separation, spin density wave, pairing phase, a metallic phase, two different charge-density waves, and a non-separable state with modulation of charge. We show that the von Neumann block entropy and the fidelity susceptibility are useful for estimating the borders between the phases.

arXiv comment10 pages, 10 figures, comments are welcome. Substantial changes compared to the first version

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