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We search for stochastic gravitational wave background (SGWB) generated bydomain wall networks in the Data Release-2 of Parkes Pulsar Timing Array andfind that the observed strong common power-law process can be explained bydomain wall networks for the wall tension $\sigma_{\textrm{DW}}\sim(29-414~\textrm{TeV})^3$ and the wall-decay temperature $T_d\sim20-257~\textrm{MeV}$ at $68\%$ Credible Level. Interestingly, the sameparameter region can largely alleviate the Hubble tension, if the freeparticles generated from domain wall networks further decay into darkradiation. This coincidence that a domain wall network can simultaneouslyaccount for the nano-Hertz SGWB and Hubble tension is robust, independent ofdomain wall parameters and applicable to observations by other pulsar timingarray collaborations in general. On the other hand, assuming that the commonpower-law process is not due to domain wall networks, we can put stringentconstraints on the wall tension and decay temperature.

Domain Wall Network: A Dual Solution for Gravitational Waves and Hubble Tension?