The 4d transition metal perovskites Ca_n+1Ru_nO_3n+1 have attracted interest for their strongly interacting electronic phases showing pronounced sensitivity to controllable stimuli like strain, temperature, and even electrical current. Through multi-messenger low-temperature nano-imaging, we reveal a spontaneous striped texture of coexisting insulating and metallic domains in single crystals of the bilayer ruthenate Ca₃(Ti_xRu_1-x)₂O₇ across its first-order Mott transition at \(T \approx 95\)K. We image on-demand anisotropic nucleation and growth of these domains under in situ applied uniaxial strain rationalized through control of a spontaneous Jahn-Teller distortion. Our scanning nano-susceptibility imaging resolves the detailed susceptibility of coexisting phases to strain and temperature at the transition threshold. Comparing these nano-imaging results to bulk-sensitive elastoresistance measurements, we uncover an emergent “domain susceptibility” sensitive to both the volumetric phase fractions and elasticity of the self-organized domain lattice. Our combined susceptibility probes afford nano-scale insights into strain-mediated control over the insulator-metal transition in 4d transition metal oxides.

4d过渡金属钙钛矿Ca _{n + 1} Ru _n O _{3n + 1}由于其强烈相互作用的电子相而引起了人们的兴趣，这些电子相对诸如应变，温度甚至电流的可控刺激表现出明显的敏感性。通过多信使低温纳米成像，我们发现了双层钌酸钙Ca ₃（Ti _x Ru _1-x）₂ O ₇的一阶Mott跃迁中绝缘和金属域共存的自发条纹纹理。在\（T \大约95 \）K.我们在通过自发的Jahn-Teller畸变的控制合理化的原位应用单轴应变下，对这些域的按需各向异性形核和生长进行了成像。我们的扫描纳米敏感性成像解决了在过渡阈值下共存相对应变和温度的敏感性。将这些纳米成像结果与体积敏感弹性指数测量结果进行比较，我们发现了对体积相分数和自组织畴晶格的弹性都敏感的新兴“畴磁化率”。我们的组合磁化率探针提供了在4d过渡金属氧化物中绝缘体-金属过渡过程中应变介导控制的纳米级洞察力。