Hidden D-Wave Checkerboard Order in Cuprates

We propose a new hidden order, D-wave checkerboard order, to explain the local charge checkerboard ordering observed in STM studies of the High Tc superconductors. We show that even a weak D-wave checkerboard order can have a strong effect on the STM spectrum in superconducting states and can nicely explain experimental observations. The D-wave checkerboard order also generates a Fermi arc with little dispersion around nodal points, which are consistent with results from angle resolved photoemission spectroscopy measurements. Therefore, the D-wave checkerboard order can naturally connect the pseudo-gap physics with the checkerboard structure featured in STM measurements.