Negative intercept of the apparent zero-temperature extrapolated linear-in-$T$ metallic resistivity
| Autor: | Tu, Yi-Ting, Sarma, Sankar Das |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 110, 075151 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.110.075151 |
| Popis: | We consider the well-known phonon scattering induced high-temperature linear-in-$T$ metallic resistivity, showing that a naive extrapolation of the effective linearity from high temperatures to $T=0$ leads to an apparent zero-temperature negative resistivity. The precise magnitude of this extrapolated $T=0$ negative resistivity depends on the temperature regime from where the extrapolation is carried out, and approaches the correct physical result of zero resistivity at $T=0$ only if the extrapolation starts from $T\gg T_D$, where $T_D$ is the Debye temperature. We establish a theoretical relationship between the negative intercept and the slope of the linear-in-$T$ resistivity as a function of the temperature $T$ from where the extrapolation is carried out. Experimental implications of our finding are discussed for the much-discussed Planckian behavior of the transport scattering rate. Comment: 7 pages, 6 figures |
| Databáze: | arXiv |
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