Universal $T/B$ scaling behavior of heavy fermion compounds

TL;DR

This paper reviews the universal $T/B$ scaling behavior in heavy-fermion compounds, linking experimental data with fermion condensation theory, and highlights its implications near the topological fermion condensation quantum phase transition.

Contribution

It demonstrates that $T/B$ scaling is universal across various heavy-fermion systems and explains its origin through topological fermion condensation quantum phase transition theory.

Findings

$T/B$ scaling holds across different HF compounds near FCQPT

Effective mass $M^*$ diverges as temperature approaches zero

Scaling behavior is violated in $ m YbCo_2Ge_4$ at low temperatures

Abstract

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 $\rm YbCo_2Ge_4$, and show that its scaling behavior is violated at low temperatures. Our results obtained show good agreement with experimental facts.