Insulating transport in anisotropic metals: breakdown of Drude transport and the puzzling $c$-axis resistivity of Sr$_2$RuO$_4$ and other layered oxides

Fuente: arXiv
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Autori principali: Beck, Sophie, Shammami, Matthew, Van Muñoz, Lorenzo, Kaye, Jason, Georges, Antoine, Mravlje, Jernej
Natura: Preprint
Pubblicazione: 2025
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author Beck, Sophie
Shammami, Matthew
Van Muñoz, Lorenzo
Kaye, Jason
Georges, Antoine
Mravlje, Jernej
author_facet Beck, Sophie
Shammami, Matthew
Van Muñoz, Lorenzo
Kaye, Jason
Georges, Antoine
Mravlje, Jernej
contents We reveal a mechanism that may explain the non-metallic out-of-plane resistivity in layered metals. By carefully examining how the Drude-Boltzmann expression for the $c$-axis conductivity emerges out of the Kubo formula, we find, besides the standard metallic term proportional to the carrier lifetime $τ$, a non-Drude contribution proportional to $1/τ$. The Drude behavior breaks down when $1/τ> 2 η^*$, the crossover value $η^*$ being small (and hence observable) when the $c$-axis velocities vary rapidly with the distance from the Fermi surface. We consider the Hund metal Sr$_2$RuO$_4$ as a test case, which we study within a realistic dynamical mean-field theory approach. The non-Drude behavior observed experimentally in $c$-axis transport is reproduced and explained by our considerations, showing that earlier invoked extrinsic mechanisms that involve either impurities or phonons are unnecessary. We point out that the small value of $η^*$ is due to a peculiar accidental cancellation due to destructive interference characteristic of body-centered tetragonal lattices.
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id arxiv_https___arxiv_org_abs_2510_03756
institution arXiv
publishDate 2025
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spellingShingle Insulating transport in anisotropic metals: breakdown of Drude transport and the puzzling $c$-axis resistivity of Sr$_2$RuO$_4$ and other layered oxides
Beck, Sophie
Shammami, Matthew
Van Muñoz, Lorenzo
Kaye, Jason
Georges, Antoine
Mravlje, Jernej
Strongly Correlated Electrons
Materials Science
We reveal a mechanism that may explain the non-metallic out-of-plane resistivity in layered metals. By carefully examining how the Drude-Boltzmann expression for the $c$-axis conductivity emerges out of the Kubo formula, we find, besides the standard metallic term proportional to the carrier lifetime $τ$, a non-Drude contribution proportional to $1/τ$. The Drude behavior breaks down when $1/τ> 2 η^*$, the crossover value $η^*$ being small (and hence observable) when the $c$-axis velocities vary rapidly with the distance from the Fermi surface. We consider the Hund metal Sr$_2$RuO$_4$ as a test case, which we study within a realistic dynamical mean-field theory approach. The non-Drude behavior observed experimentally in $c$-axis transport is reproduced and explained by our considerations, showing that earlier invoked extrinsic mechanisms that involve either impurities or phonons are unnecessary. We point out that the small value of $η^*$ is due to a peculiar accidental cancellation due to destructive interference characteristic of body-centered tetragonal lattices.
title Insulating transport in anisotropic metals: breakdown of Drude transport and the puzzling $c$-axis resistivity of Sr$_2$RuO$_4$ and other layered oxides
topic Strongly Correlated Electrons
Materials Science
url https://arxiv.org/abs/2510.03756