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We present the ultra-low-temperature heat transport study of an iron-basedsuperconductor Ba(Fe$_{0.64}$Ru$_{0.36}$)$_2$As$_2$ ($T_c$ = 20.2 K), in whichthe superconductivity is induced by isovalent Ru substitution. In zero field wefind a large residual linear term $\kappa_0/T$, more than 40% of thenormal-state value. At low field, the $\kappa_0/T$ shows an $H^{1/2}$dependence. These provide strong evidences for nodes in the superconducting gapof Ba(Fe$_{0.64}$Ru$_{0.36}$)$_2$As$_2$, which mimics that in anotherisovalently substituted superconductor BaFe$_2$(As$_{1-x}$P$_x$)$_2$. Ourresults show that the isovalent Ru substitution can also induce nodalsuperconductivity in BaFe$_2$As$_2$, as P does, and they may have the sameorigin. We further compare them with other two nodal superconductors LaFePO andLiFeP.

Nodal superconductivity in Ba(Fe$_{1-x}$Ru$_x$)$_2$As$_2$ induced by isovalent Ru substitution