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We start with the chiral density wave(CDW)mean field Hamiltonian in themomentum space for the pseudo-gapped state of YBCO in the absence of magneticfield, including the momentum conserving inter-layer tunneling matrix elementsin the Hamiltonian for the tetragonal case, with the principal component of theorder parameter corresponding to idx2-y2 and the secondary one to the dxy. Withthe eigenvalues and the eigenvectors of the Hamiltonian matrix we write downexpression for Berry curvature(BC). Only two BC peaks of same magnitude andopposite signs are obtained at the nodal points of the reconstructed Fermisurface (RFS) for the pure idx2-y2-density wave case. We establish a relationbetween thermodynamic potential of the system and certain spectral functionsfor the CDW state. This yields an expression for entropy in closed form. Weshow that the transition to the CDW state is a first order one and the entropyper unit cell increases in this state. We also investigate anomalous Nernsteffect theoretically.

Investigation of chiral density wave mean field Hamiltonian