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The optimal superconductivity ($T_c \approx 30 $ K) inBaFe$_2$(As$_{1-x}$P$_x$)$_2$ can be reached when the coupled antiferromagnetic(AF) order ($T_N$) and orthorhombic lattice distortion ($T_s$) are suppressedto zero temperature with increasing of P concentration or hydrostatic pressure.Here we use transport and neutron scattering to study the $c$-axis pressureeffects on electronic phases in underdoped BaFe$_2$(As$_{0.72}$P$_{0.28}$)$_2$,which has $T_N = T_s\approx 40$ K and $T_c \approx $ 28 K at zero pressure.With increasing $c$-axis pressure, $T_N$ and $T_s$ are slightly enhanced around$P_c \sim 20 $ MPa. Upon further increasing pressure, AF order is graduallysuppressed to zero, while $T_c$ is enhanced to 30 K. Our results reveal theimportance of magnetoelastic couplings in BaFe$_2$(As$_{1-x}$P$_x$)$_2$,suggesting that the $c$-axis pressure can be used as a tuning parameter tomanipulate the electronic phases in iron pnictides.

Uniaxial $c$-axis pressure effects on underdoped BaFe$_2$(As$_{0.72}$P$_{0.28}$)$_2$ superconductor