  We show that, the pseudo-gap phase of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$
(Bi2212) described by a parity and the time reversal symmetry (TRS) broken but
PT invariant Hamiltonian, involving the positive(negative) second-neighbor
hopping (and the absence (presence) of the fourth neighbor hopping), displays
Wyle/ Dirac semi-metal like (narrow-gap direct semiconductor like) scenario in
the limited region of the parameter space in the absence of the momentum
conserving inter-layer tunnelling (MCIT). The observed spin-charge locking
seems to be a generic feature of the system where the sign of the second
neighbor has no role to play. In the presence of Rashba coupling and MCIT,
spin-momentum locking is found to be possible in the limited region of momentum
space. Furthermore, the pseudo-Zeeman term appearing in the quasi-particle
excitation spectrum leads to momentum space tunnelling.
