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Polaron Mass and Electron-Phonon Correlations in the Holstein Model

机译：荷斯坦模型中的极化子质量和电子-声子相关性

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The Holstein Molecular Crystal Model is investigated by a strong coupling perturbative method which, unlike the standard Lang-Firsov approach, accounts for retardation effects due to the spreading of the polaron size. The effective mass is calculated to the second perturbative order in any lattice dimensionality for a broad range of (anti)adiabatic regimes and electron-phonon couplings. The crossover from a large to a small polaron state is found in all dimensionalities for adiabatic and intermediate adiabatic regimes. The phonon dispersion largely smoothes such crossover which is signalled by polaron mass enhancement and on-site localization of the correlation function. The notion of self-trapping together with the conditions for the existence of light polarons, mainly in two- and three-dimensions, is discussed. By the imaginary time path integral formalism I show how nonlocal electron-phonon correlations, due to dispersive phonons, renormalize downwards thee-phcoupling justifying the possibility for light and essentially small 2D Holstein polarons.
机译：荷斯坦分子晶体模型是通过强耦合微扰方法研究的，该方法不同于标准的Lang-Firsov方法，其原因是极化子尺寸的扩展导致了延迟效应。对于大范围的（反）绝热状态和电子-声子耦合，在任何晶格尺寸中，有效质量都被计算为第二微扰阶。在绝热和中间绝热状态的所有维度上都发现了从大极化子状态到小极化子状态的交叉。声子色散极大地平滑了这种交叉，这是通过极化子质量增强和相关函数的现场定位来发出的。讨论了自陷的概念以及存在光极化子的条件，主要是二维和三维。通过假想的时间路径积分形式，我展示了由于色散声子而引起的非局部电子-声子相关性如何向下重整thethe-phcoupling，从而证明了可能存在光和实质上较小的2D Holstein极化子。

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