  In this paper we study two models of symmetry-breaking topological
insulators. They are the variants of the d-density wave Hamiltonian proposed by
Chakravarty, Laughlin, Morr and Nyack[1] to explain the pseudogap of the
cuprates. After doping, both models exhibit an anomalous thermal Hall effect
similar to that reported in Ref.[2]. Moreover, they also possess hole pockets
centered along the Brillouin zone diagonals consistent with the Hall
coefficient measured in Ref.[3].
