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RESEARCH PRODUCT

Magnetoresistance in the HF Metal at Zero Temperature

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In this chapter we consider the paradoxical behavior of the residual resistivity \(\rho _0\) of HF metals in magnetic fields and under pressure. Our consideration is based on the idea of flattening of the single-particle spectrum \(\varepsilon (\mathbf{p})\) that profoundly effects on the specific heat \(C\), thermal expansion coefficient \(\alpha \) and magnetic susceptibility \(\chi \) in the normal state, the jump of \(C\) at the point of superconducting phase transition etc. We show that FC associated with flat bands contributes to the residual resistivity \(\rho _0\), while the application of the magnetic field or pressure to the system with a flat band removes the flat band and leads to a strong suppression of \(\rho _0\). Our analysis of the thermodynamic and transport properties gives direct evidences for the presence of the flat band in \(\mathrm{{CeCoIn}}_5\) (Sect. 10.2), \(\mathrm{{YbRh}}_2\mathrm{{Si}}_2\) (Sect. 10.3), and \(\mathrm{{Sr}}_3\mathrm{{Ru}}_2\mathrm{{O}}_7\) (Chap. 11). It is further demonstrated that the application of magnetic field generates both the experimentally identifiable multiple energy scales and the scaling behavior of the effective mass in HF compounds.