We propose the π flux triangular lattice Hubbard model (π-THM) as a
prototypical setup to stabilize magnetically disordered quantum states of
matter in the presence of charge fluctuations. The quantum paramagnetic domain
of the π-THM which we identify for intermediate Hubbard U is framed by a Dirac
semi-metal for weak coupling and by 120∘ N\'eel order for strong coupling.
Generalizing the Klein duality from spin Hamiltonians to tight-binding models,
the π-THM maps to a Hubbard model which corresponds to the (JH,JK)=(−1,2)
Heisenberg-Kitaev model in its strong coupling limit. The π-THM provides a
promising microscopic testing ground for exotic finite-U spin liquid ground
states amenable to numerical investigation.