Doped Mott insulators in the triangular-lattice Hubbard model

We investigate the evolution of Mott insulators in triangular lattice Hubbard Model, as a function hole doping $\ensuremath{\delta}$ both strong and intermediate coupling limits. Using advanced density matrix renormalization group (DMRG) method, at light $\ensuremath{\delta}\ensuremath{\lesssim}10%$, we find significant difference between couplings. Notably, an unusual metallic state emerges, with short ranged spin correlations but long spin-chirality order. Moreover, no clear Fermi surface or wave vector is observed, this chiral metal also exhibits staggered loop current, which breaks translational symmetry. These features disappear on increasing interaction strength further doping. At coupling, 120 degree magnetic order insulating magnet persists for doping, produces pockets well-defined surface. On $\ensuremath{\delta}\ensuremath{\approx}10%\ensuremath{\sim}20%$ SDW coherent are found even higher $\ensuremath{\delta}\ensuremath{\gtrsim}20%$, suppressed spin-singlet Cooper pair simultaneously enhanced. briefly comment particle-hole asymmetry model.