Abstract
We show that the d-wave ordering in particle-hole channels, dubbed
d-wave checkerboard order, possesses important physics that can sufficiently
explain the scanning tunneling microscopy (STM) results in cuprates.
A weak d-wave checkerboard order can effectively suppress the coherence
peak in the single-particle spectrum while leaving the spectrum along
the nodal direction almost unaffected. Simultaneously, it generates
a Fermi arc with little dispersion around the nodal points at finite
temperature that is consistent with the results of angle-resolved
photoemission spectroscopy (ARPES) experiments in the pseudogap phase.
We also show that there is a general complementary connection between
the d-wave checkerboard order and the pair-density-wave order. Suppressing
superconductivity locally or globally through phase fluctuations
should induce both orders in underdoped cuprates and explain the
nodal-antinodal dichotomy observed in ARPES and STM experiments.
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