  We present a symmetric double-sided pillared phononic crystals (PPnCs) that
can emulate both quantum spin Hall effect (QSHE) and quantum valley Hall effect
(QVHE) by solely imposing different geometric perturbations. Indeed, the Dirac
cones can occur in the low (deep subwavelength) and high frequency regime by
judiciously turning the parameters of the attached pillars and even a double
Dirac cone can be achieved. We realize the valley-protected, the
pseudospin-protected or the pseudospin-valley coupled edge states with the
proposed platform. Besides, we show a variety of refraction phenomena
(positive, negative and evanescent) of the valley-polarized edge state at the
zigzag termination when emulating QVHE. Further, we illustrate the
valley-dependent feature of the pseudospin-valley coupled edge state and
demonstrate the valley based splitting of the pseudospin-protected edge states
in a Y-junction wave guide.
