Photoemission spectroscopy and sum rules in dilute electron-phonon systems
Strongly Correlated Electrons
2009-11-07 v1
Abstract
A family of exact sum rules for the one-polaron spectral function in the low-density limit is derived. An algorithm to calculate energy moments of arbitrary order of the spectral function is presented. Explicit expressions are given for the first two moments of a model with general electron-phonon interaction, and for the first four moments of the Holstein polaron. The sum rules are linked to experiments on momentum-resolved photoemission spectroscopy. The bare electronic dispersion and the electron-phonon coupling constant can be extracted from the first and second moments of spectrum. The sum rules could serve as constraints in analytical and numerical studies of electron-phonon models.
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Cite
@article{arxiv.cond-mat/0202186,
title = {Photoemission spectroscopy and sum rules in dilute electron-phonon systems},
author = {P. E. Kornilovitch},
journal= {arXiv preprint arXiv:cond-mat/0202186},
year = {2009}
}
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4 pages