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- W4281633824 abstract "The cumulant expansion has become a popular tool for describing the dynamics of electrons coupled to phonons. Here, using the Holstein model, the authors study the behavior of low-order cumulants, and present a self-consistent formulation of the cumulant expansion. They find that the second-order cumulant performs well at zero electronic momentum or high temperature, and the fourth order cumulant becomes pathological, preventing its general application. The self-consistent formulation greatly improves the spectra by including non-perturbative effects, but also presents pathologies. These results have implications for calculations of transport properties and $aphantom{rule{0}{0ex}}b$ $iphantom{rule{0}{0ex}}nphantom{rule{0}{0ex}}iphantom{rule{0}{0ex}}tphantom{rule{0}{0ex}}iphantom{rule{0}{0ex}}o$ systems." @default.
- W4281633824 created "2022-06-13" @default.
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- W4281633824 date "2022-06-07" @default.
- W4281633824 modified "2023-10-06" @default.
- W4281633824 title "Cumulant methods for electron-phonon problems. I. Perturbative expansions" @default.
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- W4281633824 doi "https://doi.org/10.1103/physrevb.105.224304" @default.
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