Anisotropic heavy Fermi-liquid formation in the valence fluctuating $\alpha$-YbAlB$_4$

TL;DR

This study reveals that the isostructural $ ext{YbAlB}_4$ compound exhibits anisotropic heavy Fermi-liquid behavior with strong hybridization in the $ab$-plane, contrasting with its polymorph's quantum criticality, highlighting the role of anisotropic hybridization in heavy fermion formation.

Contribution

It demonstrates the anisotropic hybridization and heavy Fermi-liquid formation in $ ext{YbAlB}_4$, emphasizing the importance of anisotropic hybridization in mixed valence heavy fermion systems.

Findings

$ ext{YbAlB}_4$ exhibits Fermi liquid behavior with a large Wilson ratio.

Strong anisotropy in resistivity indicates directional hybridization.

Heavy fermion state characterized by $ ext{γ} ext{~} 130$ mJ/mol K$^2$.

Abstract

$\alpha$-YbAlB$_4$ is the locally isostructural polymorph of $\beta$-YbAlB$_4$, the first example of an Yb-based heavy fermion superconductor which exhibits pronounced non-Fermi-liquid behavior above $T_{\rm c}$. Interestingly, both $\alpha$-YbAlB$_4$ and $\beta$-YbAlB$_4$ have strongly intermediate valence. Our single crystal study of the specific heat, magnetization and resistivity has confirmed the Fermi liquid ground state of $\alpha$-YbAlB$_4$ ~in contrast with the quantum criticality observed in $\beta$-YbAlB$_4$. Both systems exhibit Kondo lattice behavior with the characteristic temperature scale $T^* \sim$ 8 K in addition to a valence fluctuation scale $\sim 200$ K. Below $T^*$, $\alpha$-YbAlB$_4$ a heavy Fermi liquid state with an electronic specific heat coefficient $\gamma\sim$ 130 mJ/mol K$^2$ and a large Wilson ratio more than 7, which indicates ferromagnetic correlation between Yb moments. A large anisotropy in the resistivity suggests that the hybridization between 4$f$ and conduction electrons is much stronger in the $ab$-plane than along the c-axis. The strongly anisotropic hybridization as well as the large Wilson ratio is the key to understand the unusual Kondo lattice behavior and heavy fermion formation in mixed valent compounds.