  We consider an electronic model for realizing the Spin Bose-metal (SBM) phase
on a 2-leg triangular strip --a spin liquid phase found by D. N. Sheng et al
[Phys. Rev. B {\bf 79}, 205112 (2009)] in a spin-1/2 model with ring exchanges.
The SBM can be viewed as a "C1S2" Mott insulator of electrons where the overall
charge transporting mode is gapped out. We start from a two-band "C2S2" metal
and consider extended repulsion motivated by recent ab initio derivation of
electronic model for $\kappa$-ET spin liquid material [K. Nakamura et al, J.
Phys. Soc. Jpn. {\bf 78}, 083710(2009)]. Using weak coupling renormalization
group analysis, we find that the extended interactions allow much wider C2S2
metallic phase than in the Hubbard model with on-site repulsion only. An
eight-fermion Umklapp term plays a crucial role in producing a Mott insulator
but can not be treated in weak coupling. We use Bosonization to extend the
analysis to intermediate coupling and study phases obtained out of the C2S2
metal upon increasing overall repulsion strength, finding that the SBM phase is
a natural outcome for extended interactions.
