Highly Correlated Fermi Liquid in Heavy-Fermion Metals: The Scaling Behavior

Abstract

In this chapter we show how the FCQPT theory works. We do that on the base of experimentally relevant examples. Namely, as noted in the Introduction (Chap. 1), the challenge for the theories is to explain the scaling behavior of the normalized effective mass $M^*_N(y)$ displayed in Fig. 1.3. The theories analyzing only the critical exponents characterizing $M^*_N(y)$ at $y\gg 1$ consider only a part of the problem. In this section we analyze and derive the scaling behavior of the normalized effective mass near QCP as reported in Fig. 1.3. We start with describing magnetic field dependence of the quasiparticle effective mass in Sect. 6.1. Quasiparticle damping and the temperature dependence of the effective mass is considered in Sect. 6.2. In Sect. 6.4 we study the energy scales and the general properties of the phase diagrams of strongly correlated Fermi systems, including HF metals like YbRh$_2$Si$_2$, and consider the evolution of these diagrams under the application of negative/positive pressure. We have observed that at sufficiently high temperatures outside the AFM phase the transition temperature follows almost linear B-dependence, coinciding with the transition temperature, induced by the presence of FC.