Holstein polaron in the presence of disorder

Abstract

Non-local, inhomogeneous and retarded response observed in experiments is reproduced by introducing the Inhomogeneous Momentum Average (IMA) method to study single polaron problems with disorder in the on-site potential and/or spatial variations of the electron-phonon couplings and/or phonon frequencies. We show that the electron-phonon coupling gives rise to an additional inhomogeneous, strongly retarded potential, which makes instant approximations questionable. The accuracy of IMA is demonstrated by comparison with results from the approximation free Diagrammatic Monte Carlo (DMC) method. Its simplicity allows for easy study of many problems that were previously unaccessible. As an example, we show how inhomogeneities in the electron-phonon coupling lead to nonlocal, retarded response in scanning tunneling microscopy (STM) images.

4 pages, 3 figures

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• Trapping of three-dimensional Holstein polarons by various impurities
• Localization of Large Polarons in the Disordered Holstein Model
• Distribution of localized states from fine analysis of electron spin resonance spectra of organic semiconductors: Physical meaning and methodology
• Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
• Simulating polaron biophysics with Rydberg atoms
• Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
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• Inhomogeneous dynamical mean field theory of the small polaron problem
• Exciton dissociation mediated by phonons in organic photovoltaics
• The end points in the dispersion of Holstein polarons
• A perturbational study of the lifetime of a Holstein polaron in the presence of weak disorder
• Physically interpretable approximations of many-body spectral functions
• Holstein magneto-polarons: from Landau levels to Hofstadter butterflies
• Theory of dispersive optical phonons in resonant inelastic x-ray scattering experiments
• Binding carriers to a non-magnetic impurity in a two-dimensional square Ising antiferromagnet