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We study the emergence of the quantum spin Hall (QSH) states for thepseudo-gap (PG) phase of Bi2212 bilayer system, assumed to be D-densitywave(DDW) ordered, starting with a strong Rashba spin-orbit coupling(SOC)armed, and the time reversal symmetry (TRS) complaint Bloch Hamiltonian. Thepresence of strong SOC gives rise to non-trivial, spin-momentum locked spintexture tunable by electric field. The emergence of quantum anomalous Halleffect with TRS broken Chiral DDW Hamiltonian of Das Sarma et al. is found tobe possible.

Fledgling quantum spin Hall effect in pseudo gap phase of Bi2212