Using Kaneyoshi approximation in the framework of effective field theory, we have carried out theoretically the magnetic phase transition and hysteresis behavior at a very low temperature in Mn₂RhSi Heusler Alloy (Mn₂RhSi-HA). The alloy shows to a ferrimagnetic successive phase transition while its atoms exhibit a various successive phase transition with T_t= 0.630 and T_C = 1.560. At a very low temperature, we attain that the alloy has a multistep hysteresis behavior having a butterfly-like hysteresis loop with a large coercivity field while the Si1 atom shows a type-II superconducting hysteresis behavior. Step-like hysteresis behavior at low temperature is due to quantum tunneling of the magnetization. So, we suggest Mn₂RhSi-HA could be a potential candidate for magnetic storage device application. Moreover, we can conclude that the competition of antiferromagnetic and ferromagnetic exchange couplings leads to the variety of magnetic phase transition and the hysteresis behavior in Mn₂RhSi-HA and its atoms. We can also conclude that these atoms and their exchange interactions to other atoms make a significant contribution to controlling the hysteresis behavior of Mn₂RhSi-HA, since the Mn and Rh2 core atoms have the same coercivity as that of Mn₂RhSi-HA. The obtained results are consistent with the reported experimental and theoretical results of Mn₂-based Heusler alloys and other alloys.

在有效场论的框架内使用Kaoshioshi近似，我们从理论上对Mn ₂ RhSi Heusler合金（Mn ₂ RhSi-HA）在非常低的温度下进行了磁相变和磁滞行为。该合金显示出亚铁磁性相继相变，而其原子表现出各种相继相变，其中T _t = 0.630和T _C  = 1.560。在非常低的温度下，我们获得了具有多阶磁滞行为的合金，该蝶形行为具有大矫顽力场的蝶形磁滞回线，而Si1原子则显示了II型超导磁滞行为。低温下的阶梯状磁滞行为是由于磁化的量子隧穿引起的。因此，我们建议锰₂ RhSi-HA可能是磁存储设备应用的潜在候选者。此外，我们可以得出结论，反铁磁性和铁磁性交换耦合的竞争导致Mn ₂ RhSi-HA及其原子中磁性相变的变化和磁滞行为。我们还可以得出结论，这些原子及其与其他原子的交换相互作用对控制Mn ₂ RhSi-HA的磁滞行为做出了重要贡献，因为Mn和Rh2核心原子具有与Mn ₂ RhSi-HA相同的矫顽力。所得结果与报道的Mn ₂基Heusler合金和其他合金的实验和理论结果一致。