Electron-phonon vertex and its influence on the superconductivity of two-dimensional metals on a piezoelectric substrate
David G. González, Fernando Sols, Francisco Guinea, Ivar Zapata
DOI 10.1103/PhysRevB.94.085423 · Physical Review B
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Abstract
We investigate the interaction between the electrons of a two-dimensional metal and the acoustic phonons of an underlying piezoelectric substrate. Fundamental inequalities can be obtained from general energy arguments. As a result, phonon mediated attraction can be proven to never overcome electron Coulomb repulsion, at least for long phonon wavelengths. We study the influence of these phonons on the possible pairing instabilities of a two-dimensional electron gas such as graphene.
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