We investigate the evolution of the Mott insulators in the triangular lattice
Hubbard Model, as a function of hole doping δ in both the strong and
intermediate coupling limit. Using the density matrix renormalization group
(DMRG) method, at light hole doping δ≲10%, we find a
significant difference between strong and intermediate couplings. Notably, at
intermediate coupling an unusual metallic state emerges, with short ranged spin
correlations but long ranged spin-chirality order. Moreover, no clear Fermi
surface or wave-vector is observed. These features disappear on increasing
interaction strength or on further doping. At strong coupling, the 120 degree
magnetic order of the insulating magnet persists for light doping, and produces
hole pockets with a well defined Fermi surface. On further doping, δ≈10%∼20% SDW order and coherent hole Fermi pockets are found at
both strong and intermediate coupling. At even higher doping δ≳20%, the SDW order is suppressed and the spin-singlet Cooper pair
correlations are simultaneously enhanced. We interpret this as the onset of
superconductivity on suppressing magnetic order. We also briefly comment on the
strong particle hole asymmetry of the model, and contrast electron versus hole
doping.Comment: 9 pages, 11 figure