2009/06/06 by Mona Berciu, А. S. Mishchenko, Andrei S. Mishchenko +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Coherent potential approximation #Condensed matter physics #Coupling (piping) #Electron #Electronic structure #Impurity #Magnetic and transport properties of perovskites and related materials #Materials science #Mathematics #Momentum (technical analysis) #Monte Carlo method #Phonon #Physics #Physics of Superconductivity and Magnetism #Polaron #Quantum electrodynamics #Quantum mechanics #Solid-state spectroscopy and crystallography #Statistical physics #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1209/0295-5075/89/37007
published as Europhys. Lett. 89 37007 (2010) · 4 pages, 3 figures
arxiv created 2009/06/06 · openalex publication_date 2010/02/01 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Non-local, inhomogeneous and retarded response similar to that observed in experiments is studied theoretically by introducing the Inhomogeneous Momentum Average (IMA) approximation for 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. This potential describes essential physics ignored by "instanteneous" approximations. The accuracy of IMA is demonstrated by comparison with single-impurity results from the approximation-free Diagrammatic Monte Carlo (DMC) method. Its simplicity allows for easy study of many problems that were previously unaccessible.