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We investigate a chiral d-density wave (CDDW) mean field Hamiltonian inmomentum space for the under-doped YBCO. We consider the commensurate densitywave order which doubles the unit cell of the real space lattice and derive anexpression for entropy in the CDDW state in the absence of magnetic field. Weshow that the transition to CDDW state gives rise to the occurrence ofdiscontinuities in the entropy density difference between the CDDW state andthe normal state at eight points(Hot spots) on the boundary of the reducedBrillouin zone. The chirality induced anomalous Nernst signal is shown to arisemainly from the points close to these Hot spots and not from the hole pocketsas reported by the previous authors. We also show the possibility of quantumoscillations in the specific heat for the system under consideration in thepresence of a changing magnetic field.

Theoretical investigation of a CDDW Hamiltonian for YBCO to explore the possibility of quantum oscillations in specific heat