Universal sublinear resistivity in vanadium kagome materials hosting charge density waves

Abstract

The recent discovery of a charge density (CDW) state in ScV${}_6$Sn${}_6$ at $T_{\text{CDW}}$ = 91 K offers new opportunities to understand the origins of electronic instabilities in topological kagome systems. By comparing to the isostructural non-CDW compound LuV${}_6$Sn${}_6$, we unravel interesting electrical transport properties in ScV${}_6$Sn${}_6$, above and below the charge ordering temperature. We observed that by applying a magnetic field along the $a$ axis, the temperature behavior of the longitudinal resistivity in ScV${}_6$Sn${}_6$ changes from metal-like to insulator-like above the CDW transition. We show that in the charge ordered state ScV${}_6$Sn${}_6$ follows the Fermi liquid behavior while above that, it transforms into a non-Fermi liquid phase in which the resistivity varies sublinearly over a broad temperature range. The sublinear resistivity, which scales by $T^{3/5}$ is a common feature among other vanadium-containing kagome compounds exhibiting CDW states such as KV${}_3$Sb${}_5$, RbV${}_3$Sb${}_5$, and CsV${}_3$Sb${}_5$. By contrast, the non-Fermi liquid behavior does not occur in LuV${}_6$Sn${}_6$. We explain the $T^{3/5}$ universal scaling behavior from the Coulomb scattering between Dirac electrons and Van Hove singularities; common features in the electronic structure of kagome materials. Finally, we show anomalous Hall-like behavior in ScV${}_6$Sn${}_6$ below $T_{\text{CDW}}$, which is absent in the Lu compound. Comparing the transport properties of ScV${}_6$Sn${}_6$ and LuV${}_6$Sn${}_6$ is valuable to highlight the impacts of the unusual CDW in the Sc compound.

12 pages, 6 figures. Power law behavior of resistivity as a function temperature is modified and theoretical explanation is added in the second version

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• Three-dimensional higher-order saddle points induced flat bands in Co-based kagome metals
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• Interplay of $d$- and $p$-states in RbTi${}_3$Bi${}_5$ and CsTi${}_3$Bi${}_5$ flat-band kagome metals
• Orbital selective commensurate modulations of the local density of states in ScV6Sn6 probed by nuclear spins
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• Superconductivity and Electron Correlations in Kagome Metal LuOs3B2
• Pressure suppresses the density wave order in kagome metal LuNb${}_6$Sn${}_6$
• Anomalous Nernst Effect and Its Implications for Time-Reversal Symmetry Breaking in Kagome Metal ScV6Sn6
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