  We propose how to create a non-trivial Haldane phase in atomic two-component
Fermi-gas loaded on one-dimensional (1-D) optical lattice with trap potential.
The Haldane phase is naturally formed on $p$-band Mott core in a wide range of
the strong on-site repulsive interaction. The present proposal is composed of
two steps, one of which is theoretical derivation of an effective 1-D S=1
interacting-chain model from the original tight-binding Hamiltonian handling
the two $p$-orbitals, and the other of which is numerical demonstration
employing the density-matrix renormalization-group for the formation of the
Haldane phase on $p$-band Mott core and its associated features in the original
tight-binding model with the harmonic trap potential.
