Localization-delocalization transition of a polaron near an impurity

Abstract

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.

4 pages, 4 figure

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Cited by in corpus (15)

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• Distribution of Localized States from Fine Analysis of Electron Spin Resonance Spectra in Organic Transistors
• Polarons and slow quantum phonons
• Trapping of three-dimensional Holstein polarons by various impurities
• Holstein polaron in the presence of disorder
• Band-Order Anomaly at the γ-Al2O3/SrTiO3 Interface Drives the Electron-Mobility Boost
• Distribution of localized states from fine analysis of electron spin resonance spectra of organic semiconductors: Physical meaning and methodology
• Optical conductivity of doped Mott insulator: the interplay between correlation and electron-phonon interaction
• Pekar's Ansatz and the Strong Coupling Problem in Polaron Theory
• Phonon affected transport through molecular quantum dots
• Exact solution of electronic transport in semiconductors dominated by scattering on polaronic impurities
• Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer
• Polarons with arbitrary nonlinear electron-phonon interaction
• Diagrammatic quantum Monte Carlo study of an acoustic lattice polaron