Scaling behavior of the thermopower of the archetypical heavy-fermion metal $\mathrm{YbR}{\mathrm{h}}_2\mathrm{S}{\mathrm{i}}_2$

Abstract

We reveal and explain a scaling behavior of the thermopower $S/T$ exhibiting by the archetypical heavy-fermion (HF) metal $\mathrm{YbR}{\mathrm{h}}_2\mathrm{S}{\mathrm{i}}_2$ under the application of magnetic field $B$ at temperatures $T$. We show that the same scaling is demonstrated by such different HF compounds as $\beta$-$\mathrm{YbAl}{\mathrm{B}}_4$ and the strongly correlated layered cobalt oxide $[\mathrm{BiB}{\mathrm{a}}_{0.66}{\mathrm{K}}_{0.36}{\mathrm{O}}_2]\mathrm{Co}{\mathrm{O}}_2$. Using $\mathrm{YbR}{\mathrm{h}}_2\mathrm{S}{\mathrm{i}}_2$ as an example, we demonstrate that the scaling behavior of $S/T$ is violated at the antiferromagnetic phase transition, while both the residual resistivity ${\rho }_0$ and the density of states $N$ experience jumps at the phase transition, making the thermopower experience two jumps and change its sign. Our elucidation is based on flattening of the single-particle spectrum that profoundly affects ${\rho }_0$ and $N$. To depict the main features of the $S/T$ behavior, we construct the $T-B$ schematic phase diagram of $\mathrm{YbR}{\mathrm{h}}_2\mathrm{S}{\mathrm{i}}_2$. Our calculated $S/T$ for the HF compounds are in good agreement with experimental facts and support our observations.

7 pages, 6 figures, version 4 contains minor corrections

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Cited by in corpus (1)

• Strongly correlated Fermi systems as a new state of matter