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arXiv · 2112.06966

A stability bound on the $T$-linear resistivity of conventional metals

Chaitanya Murthy·Akshat Pandey·Ilya Esterlis·Steven A. Kivelson
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Abstract

Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is $1/\tau_\text{tr} = 2\pi \lambda T$, where $\lambda$ is a dimensionless strength of the electron-phonon coupling. The fact that measured values satisfy $\lambda \lesssim 1$ has been noted in the context of a possible "Planckian" bound on transport. However, since the electron-phonon scattering is quasi-elastic in this regime, no such Planckian considerations can be relevant. We present and analyze Monte Carlo results on the Holstein model which show that a different sort of bound is at play: a "stability" bound on $\lambda$ consistent with metallic transport. We conjecture that a qualitatively similar bound on the strength of residual interactions, which is often stronger than Planckian, may apply to metals more generally.

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Chaitanya Murthy, Akshat Pandey, Ilya Esterlis, Steven A. Kivelson. 2021-12-13. A stability bound on the $T$-linear resistivity of conventional metals. https://doi.org/10.1073/pnas.2216241120

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