Comment on 2501.17230 and 2502.00103 "Phonon-mediated electron attraction in SrTiO3 via the generalized Frohlich and deformation potential mechanisms" and "Theory of ab initio downfolding with arbitrary range electron-phonon coupling"

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Main Author: Ruhman, Jonathan
Format: Preprint
Published: 2025
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author Ruhman, Jonathan
author_facet Ruhman, Jonathan
contents This comment critically examines the claims made in arXiv papers arXiv:2501.17230 and arXiv:2502.00103, which argue that a multiplicity of polar optical phonons can generate a long-range attractive interaction via a generalized Frohlich coupling. I identify a fundamental flaw in their derivation, showing that their result relies on an unphysical assumption--specifically, neglecting the intermode Coulomb interactions between different polar optical phonons. By restoring these missing interactions I show the screened Coulomb interaction is always repulsive in the static limit.
format Preprint
id arxiv_https___arxiv_org_abs_2503_00041
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Comment on 2501.17230 and 2502.00103 "Phonon-mediated electron attraction in SrTiO3 via the generalized Frohlich and deformation potential mechanisms" and "Theory of ab initio downfolding with arbitrary range electron-phonon coupling"
Ruhman, Jonathan
Superconductivity
Materials Science
Strongly Correlated Electrons
This comment critically examines the claims made in arXiv papers arXiv:2501.17230 and arXiv:2502.00103, which argue that a multiplicity of polar optical phonons can generate a long-range attractive interaction via a generalized Frohlich coupling. I identify a fundamental flaw in their derivation, showing that their result relies on an unphysical assumption--specifically, neglecting the intermode Coulomb interactions between different polar optical phonons. By restoring these missing interactions I show the screened Coulomb interaction is always repulsive in the static limit.
title Comment on 2501.17230 and 2502.00103 "Phonon-mediated electron attraction in SrTiO3 via the generalized Frohlich and deformation potential mechanisms" and "Theory of ab initio downfolding with arbitrary range electron-phonon coupling"
topic Superconductivity
Materials Science
Strongly Correlated Electrons
url https://arxiv.org/abs/2503.00041