Probing ice-rule-breaking transition in $\mathrm{D}{\mathrm{y}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ thin film by proximitized transport and magnetic torque

While the spin ice state of bulk pyrochlores such as $\mathrm{D}{\mathrm{y}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ and $\mathrm{H}{\mathrm{o}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ has been extensively studied in the last several decades due to its unique degenerate ground state and emergent monopole excitation, whether it survives in the thin-film form remains a mystery. The limited volume of thin-film sample makes it challenging to study the intrinsic magnetic properties. Here, we synthesized 18nm-thick $\mathrm{D}{\mathrm{y}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ thin film on YSZ (Yttria-stabilized Zirconia with 9.5 mol% ${\mathrm{Y}}_2{\mathrm{O}}_3$) substrate and capped it by a thin conductive $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7$ layer, and performed the proximitized magnetoresistance measurements. Our study found that the ice-rule-breaking phase transition survives but with a modified effective nearest-neighbor interaction (${\mathrm{J}}_{\mathrm{e}\mathrm{f}\mathrm{f}}=$ 1.054 K) and distorted Ising spin axes ($\epsilon =+0.051)$ compared to the bulk crystal. The results are supported by the simultaneously measured capacitive torque magnetometry. Our study demonstrates that proximitized transport is an effective tool for thin films of insulating frustrated magnets.