Critical Exponent Analysis of Cu-doped SrRuO3 Perovskite: SrRu0.925Cu0.075O3

As an itinerant ferromagnet with strong spin-orbit coupling and high magnetocrystalline anisotropy, the SrRuO 3 is ideal for studying correlated magnetism, while doping at Ru-site enables precise control over its electronic and magnetic properties. In this work, we utilize isothermal magnetization plots to investigate the magnetic critical behaviour of SrRu 1- x Cu x O 3 ( x = 0 and 0.075) samples near their transition temperature (T C ). Interestingly, Cu-doped SrRuO 3 sample exhibits a deviation from Curie-Weiss behaviour indicating the Griffiths-like phase (GP) from temperature-dependent inverse susceptibility data. We uncover a second-order phase transition in both samples from magnetic analysis of Arrott plots and temperature-dependent field exponent n(T). The constructed conventional Arrott plot (M 2 vs H/M) for the pure sample is consistent with mean-field theory, while Cu-doped sample indicates a deviation from the universal model. Critical exponents (β ∼ 1.0264 and γ ∼ 2.0434) of doped sample, derived from Widom scaling relation using independently obtained critical isotherm (δ ∼ 2.991) and field (n ∼ 1.0086) exponents, do not fall into any known magnetic universality class exponents. The reconstructed Modified Arrott plot (MAP), based on these exponents, exhibits nearly parallel lines, confirming their self-consistency and accuracy. Furthermore, the reliability and self-consistency of the estimated exponents are further validated by magnetic scaling analysis equations. While Cu-doping modifies the critical behaviour of SrRuO 3 , we show that the Widom scaling relation can be considered as an effective tool for analysing GP-based complex magnetic systems. • SrRuO 3 and SrRu 0.925 Cu 0.075 O 3 crystallize in orthorhombic Pnma space group structure • SrRu 0.925 Cu 0.075 O 3 exhibits Griffiths-like phase via deviation from Curie-Weiss in χ -1 (T) • Second-order magnetic phase transition uncovered in samples via magnetic analysis • Found exponents (β∼1.026, γ∼2.043, & δ∼2.992) do not match known universality classes • Reliability and self-consistency of exponents corroborated by magnetic scaling analysis