$c$-axis transport in UTe${}_2$: Evidence of Three Dimensional Conductivity Component

Abstract

We study the temperature dependence of electrical resistivity for currents directed along all crystallographic axes of the spin-triplet superconductor UTe${}_2$. We focus particularly on an accurate determination of the resistivity along the $c$-axis (${\rho }_c$) by using a generalized Montgomery technique that allows extraction of crystallographic resistivity components from a single sample. In contrast to expectations from the observed highly anisotropic band structure, our measurement of the absolute values of resistivities in all current directions reveals a surprisingly nearly isotropic transport behavior at temperatures above Kondo coherence, with ${\rho }_c\sim {\rho }_b\sim 2{\rho }_a$, that evolves to reveal qualitatively distinct behaviors on cooling. The temperature dependence of ${\rho }_c$ exhibits a peak at a temperature much lower than the onset of Kondo coherence observed in ${\rho }_a$ and ${\rho }_b$, consistent with features in magnetotransport and magnetization that point to a magnetic origin. A comparison to the temperature-dependent evolution of the scattering rate observed in angle-resolved photoemission spectroscopy experiments provides important insights into the underlying electronic structure necessary for building a microscopic model of superconductivity in UTe${}_2$.

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• Metamagnetism in the high-pressure tetragonal phase of UTe${}_2$
• Revealing isotropic abundant low-energy excitations in UTe${}_2$ through complex microwave surface impedance
• Boosted magnetic fluctuations at the onset of superconductivity in UTe${}_2$ beyond 40 T
• Electronic structure of UTe${}_2$ under pressure