In our mini-review, we address manifestations of T/B scaling behavior of heavy-fermion (HF) compounds, where T and B are respectively temperature and magnetic field. Using experimental data and the fermion condensation theory, we show that this scaling behavior is typical of HF compounds including HF metals, quasicrystals, and quantum spin liquids. We demonstrate that such scaling behavior holds down to the lowest temperature and field values, so that T/B varies in a wide range, provided the HF compound is located near the topological fermion condensation quantum phase transition (FCQPT). Due to the topological properties of FCQPT, the effective mass M* exhibits a universal behavior, and diverges as T goes to zero. Such a behavior of M* has important technological applications. We also explain how to extract the universal scaling behavior from experimental data collected on different heavy-fermion compounds. As an example, we consider the HF metal YbCo₂Ge₄, and show that its scaling behavior is violated at low temperatures. Our results obtained show good agreement with experimental facts.

在我们的小型审查中，我们讨论重金属（HF）化合物的T / B缩放行为，其中T和B分别是温度和磁场。使用实验数据和费米子凝聚理论，我们证明这种结垢行为是包括HF金属，准晶体和量子自旋液体的HF化合物的典型特征。我们证明，只要HF化合物位于拓扑费米子缩合量子相变（FCQPT）附近，这种缩放行为就可保持在最低的温度和场值下，因此T / B的变化范围很广。由于FCQPT的拓扑特性，有效质量M *表现出普遍的行为，并且随着T变为零。M *的这种行为具有重要的技术应用。我们还解释了如何从不同重金属元素上收集的实验数据中提取通用的垢行为。例如，我们考虑了HF金属YbCo ₂ Ge ₄，并表明在低温下违反了其结垢行为。我们获得的结果与实验事实吻合良好。