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  Retardation effects and the Coulomb pseudopotential in the theory of superconductivity

Bauer, J., Han, J. E., & Gunnarsson, O. (2013). Retardation effects and the Coulomb pseudopotential in the theory of superconductivity. Physical Review B, 87(5): 054507.

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Bauer, J.1, Author           
Han, J. E.2, Author           
Gunnarsson, O.2, 3, 4, Author           
Affiliations:
1Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society, ou_3370486              
2Former Departments, Max Planck Institute for Solid State Research, Max Planck Society, ou_3370502              
3Department Nanoscale Science (Klaus Kern), Max Planck Institute for Solid State Research, Max Planck Society, ou_3370481              
4Department Electronic Structure Theory (Ali Alavi), Max Planck Institute for Solid State Research, Max Planck Society, ou_3370479              

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 Abstract: In the theory of electron-phonon superconductivity both the magnitude of the electron-phonon coupling lambda and the Coulomb pseudopotential mu* are important to determine the transition temperature T-c and other properties. We calculate corrections to the conventional result for the Coulomb pseudopotential. Our calculations are based on the Hubbard-Holstein model, where electron-electron and electron-phonon interactions are local. We develop a perturbation expansion, which accounts for the important renormalization effects for the electrons, the phonons, and the electron-phonon vertex. We show that retardation effects are still operative for higher order corrections, but less efficient due to a reduction of the effective bandwidth. This can lead to larger values of the pseudopotential and reduced values of T-c. The conclusions from the perturbative calculations are corroborated up to intermediate couplings by comparison with nonperturbative dynamical mean-field results. DOI: 10.1103/PhysRevB.87.054507

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Language(s): eng - English
 Dates: 2013
 Publication Status: Issued
 Pages: -
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 Rev. Type: Internal
 Identifiers: eDoc: 672208
ISI: 000315143800007
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Title: Physical Review B
Source Genre: Journal
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Pages: - Volume / Issue: 87 (5) Sequence Number: 054507 Start / End Page: - Identifier: ISSN: 1098-0121