Role of many phonon modes on the high-temperature linear-in- electronic resistivity
arXiv:2403.09890 · doi:10.1103/PhysRevB.109.235118
Abstract
We theoretically consider the possibility that phonons may be playing a role in the observed linear-in- resistivity in cuprates by focusing on the obvious question: How can phonon scattering be consistent with a linear-in- resistivity with a constant slope given that cuprates have many phonon modes with different energies and electron-phonon couplings (e.g. 21 phonon modes for LSCO)? We show using an arbitrarily large number of independent phonon modes that, within a model Boltzmann transport theory, the emergent high- linear-in- resistivity manifests an approximately constant slope independent of the number of phonon modes except in some fine-tuned narrow temperature regimes. We also comment on the quantitative magnitude of the linear-in- resistivity in cuprates pointing out the constraints on the effective electron-phonon coupling necessary to produce the observed resistivity.
10 pages, 3 figures
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