Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions

The triangular-lattice Fermi-Hubbard model has been extensively investigated in the literature due to its connection to chi-ral spin states and unconventional super-conductivity. Previous simulations of the ground state of the doped system rely on quasi-one-dimensional lattices where true long-range order is forbidden. Here we simulate two-dimensional and quasi -one-dimensional triangular lattices using state-of-the-art Auxiliary-Field Quantum Monte Carlo. Upon doping a non-magnetic chi-ral spin state, we observe evidence of chi-ral superconductivity supported by long-range order in Cooper-pair correlation and a finite value of the chiral order parameter. With this aim, we first locate the transi-tion from the metallic to the non-magnetic insulating phase and the onset of magnetic order. Our results pave the way towards a better understanding of strongly corre-lated lattice systems with magnetic frus-tration.

Automated summary

Using state-of-the-art Auxiliary-Field Quantum Monte Carlo, we simulated two-dimensional and quasi-one-dimensional triangular lattices and observed evidence of chiral superconductivity in a non-magnetic chiral spin state. This was supported by long-range order in Cooper-pair correlation and a finite value of the chiral order parameter. Our results contribute to a better understanding of strongly correlated lattice systems with magnetic frustration.