Anomalous dispersion relations in the staggered flux state

We study the quasiparticle properties in the d-wave superconductivity, antiferromagnetism, and the staggered flux state within a renormalized mean-field theory based on the two-dimensional t-J model. In particular, we focus on the anomalous quasiparticle dispersion relations around the antinodal region of the Brillouin zone argued in Hashimoto et al., Nature Phys. 6, 414 (2010). We obtain the qualitatively consistent results with their observations when we take account of the SF state. The present analysis shows that the SF order can be a possible candidate of symmetry-breaking pseudogap states coexisting with the dSC.