Interaction-driven topological phase transitions in fermionic SU($3$) systems

Abstract

We consider SU($3$) fermions on the triangular lattice in the presence of a gauge potential which stabilizes a quantum Hall insulator (QHI) at the density of one particle per lattice site. We investigate the effect of the Hubbard interaction, favoring magnetic long-range order, and a three-sublattice potential (TSP), favoring a normal insulator (NI), on the system. For weak TSP we find that the Hubbard interaction drives the QHI into a three-sublattice magnetic Mott insulator (MMI). For intermediate values of TSP we identify two transition points upon increasing the Hubbard interaction. The first transition is from the NI to the QHI and the second transition is from the QHI to the MMI. For large values of the TSP a charge-ordered magnetic insulator (COMI) emerges between the NI and the QHI, leading to an interaction-driven COMI-to-QHI transition.

arXiv comment6 pages, 4 figures

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• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Topological chiral spin liquids and competing states in triangular lattice SU($N$) Mott insulators
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• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance