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This article presents a search for flavour-changing neutral currents in thedecay of a top quark into an up-type ($q = c, u$) quark and a Higgs boson,where the Higgs boson decays into two photons. The proton--proton collisiondata set analysed amounts to 36.1 fb$^{-1}$ at $\sqrt{s} = 13$ TeV collected bythe ATLAS experiment at the LHC. Top quark pair events are searched for, whereone top quark decays into $qH$ and the other decays into $bW$. Both thehadronic and leptonic decay modes of the $W$ boson are used. No significantexcess is observed and an upper limit is set on the $t \rightarrow cH$branching ratio of $2.2\times 10^{-3}$ at the 95% confidence level, while theexpected limit in the absence of signal is $1.6 \times 10^{-3}$. Thecorresponding limit on the $tcH$ coupling is 0.090 at the 95% confidence level.The observed upper limit on the $t \rightarrow uH$ branching ratio is $2.4\times 10^{-3}$.

Search for top quark decays $t \rightarrow qH$, with $H\to\gamma\gamma$, in $\sqrt{s} = 13$ TeV $pp$ collisions using the ATLAS detector