  Motivated by recent experimental progress in the field of dipolar-Fermi
gases, we investigate the quantum phases of dipolar fermions, on a triangular
ladder at half filling. Using density matrix renormalization group method, in
presence of onsite repulsion and intersite attractive interaction, we find
exotic spin-triplet superfluid phase in addition to the usual spin-density and
charge-density waves. We examine the stability of spin-triplet superfluid phase
by varying hopping along the rungs of the triangle. Possibility of fermionic
supersolidity has also been discussed, by considering three- body interaction
in the Hamiltonian. We also study the effect of spin-dependent hopping on the
stability of spin-triplet superfluid phase.
