Spin cluster size dependence of exchange bias effect in Mn ₅₀ Ni ₄₀ Ga ₁₀ Heusler alloys

The technique based on exchange bias effect is believed to play a significant role in next-generation spin-involved magnetic devices. However, 60 years after the discovery of the exchange bias, it remains unclear about origin and influencing factors of exchange bias. In this study, a giant exchange bias field of 5132 Oe was introduced in Mn ₅₀ Ni ₄₀ Ga ₁₀ Heusler alloys at 2 K with a cooling field of 10 kOe. Magnetic measurements showed that the giant exchange bias effect at lower temperature originates from the coupling between super spin glass and antiferromagnetic matrix. Different from previous reports, we elaborated on the issue of cooling field dependence from the perspective of size effect. The size effect was further demonstrated by calculating and comparing the relaxation time of super spin glass under different cooling fields. Although the relationship between particles sizes and relaxation time yet requires further validation, the current proposal can be applied to most exchange bias in Heusler systems.