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.

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

References in corpus (19)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A one-dimensional liquid of fermions with tunable spin
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• New Trends in Density Matrix Renormalization
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Dimerization in a half-filled one-dimensional extended Hubbard model
• Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model
• Entanglement in spatially inhomogeneous many-fermion systems
• The Half-Filled One-Dimensional Extended Hubbard Model: Phase diagram and Thermodynamics
• Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
• One-dimensional extended Hubbard model in the atomic limit
• Electronic properties of Fabre charge-transfer salts under various temperature and pressure conditions
• Interaction-resistant metals in multicomponent Fermi systems
• Critical Entanglement for the Half-Filled Extended Hubbard Model
• Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices