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Universal T/B Scaling Behavior of Heavy Fermion Compounds (Brief Review)

2020/09/30 by V. R. Shaginyan, A. Z. Msezane, J. W. Clark +2
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensation #Fermion #Field (mathematics) #Magnetic field #Physics of Superconductivity and Magnetism #Quantum #Quantum phase transition #Rare-earth and actinide compounds #Scaling #cond-mat.str-el

paper · pdf · doi:10.1134/s0021364020220026

published as JETP Lett 2020 · 9 pages, 8 figures, the text of the paper is slightly corrected, a few equations are added

openalex created_date 2020/09/08 · openalex publication_date 2020/11/01 · arxiv created 2020/11/02 · arxiv updated 2020/11/20 · openalex updated_date 2026/08/05

Abstract

In this brief review, we address manifestations of the T/B scaling behavior of heavy-fermion (HF) compounds, where T and B are the temperature and magnetic field, respectively. 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 YbCo 2 Ge 4 , and show that its scaling behavior is violated at low temperatures. Our results obtained show good agreement with experimental facts.

Citations