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Electron-phonon interaction in two dimensions: The case for strong coupling in high-Tc superconductors

Daniel C. Mattis

DOI 10.1103/PhysRevB.36.3933 · Physical Review B

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Abstract

A particular model interaction between electrons and acoustic phonons is found to cause electrons to become weakly "self-trapped" for an arbitrary filling factor in d=2, but not in d=1 nor, for different reasons, in d≥3. To the extent that electron kinetic energy is reduced in d=2, the electronic interactions become proportionally more effective. Among phonon-mediated interactions we identify a static anisotropic interaction, compatible with observed ordering of oxygen vacancies along privileged axes in YBa2Cu3O7−x, while other mechanisms encourage electron pairing and superconductivity.

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FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O7-x

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—Pressure not reportedunknown

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