Trapping of three-dimensional Holstein polarons by various impurities

Details Trapping of three-dimensional Holstein polarons by various impurities Trapping of three-dimensional Holstein polarons by various impurities

2012-03-26

arxiv.org/abs/1203.5836v1

Phys. Rev. B 85, 165117 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 11 figures; Accepted for publication in Phys Rev B

Scientific paper

10.1103/PhysRevB.85.165117

We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of the impurity potential, resulting in an effective potential with significant retardation effects, which describes essential physics ignored by "instantaneous" approximations. The accuracy of our approximation is gauged by comparison with results from Diagrammatic Monte Carlo for the case of an impurity that modifies the on-site energy of the electron. We also discuss impurities that modify the local strength of the electron-phonon coupling, as well as isotope substitutions that change both the electron-phonon coupling and the phonon frequency, and contrast and highlight the difference between these cases.

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