Localization-delocalization transition of a polaron near an impurity

Details Localization-delocalization transition of a polaron near an impurity Localization-delocalization transition of a polaron near an impurity

2008-06-16

arxiv.org/abs/0806.2483v1

Phys. Rev. B 79 (2009) 180301(R)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figure

Scientific paper

We solve the problem of polaron localization on an attractive impurity by means of direct-space Diagrammatic Monte Carlo implemented for the system in the thermodynamic limit. In particular we determine the ground state phase diagram in dependence on the electron-phonon coupling and impurity potential strength for the whole phonon frequency range. Including the quantum phonon dynamics we find and characterize a new phase which is missing in the zero phonon-frequency limit (adiabatic approximation), where self-trapped polarons are not localized at shallow impurities. We predict and show that in the vicinity of the localization transition a region with a mixture of weak- and strong-coupling spectral response is realized.

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