Comment on ``Electron-phonon Vertex in the Two-dimensional One-band Hubbard Model''

Details Comment on ``Electron-phonon Vertex in the Two-dimensional One-band Hubbard Model'' Comment on ``Electron-phonon Vertex in the Two-dimensional One-band Hubbard Model''

2003-07-09

arxiv.org/abs/cond-mat/0307190v1

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, comment on cond-mat/0306131

Scientific paper

In cond-mat/0306131 Huang {\em et al.} reported for the first time a numerical evidence for the predominance of small phonon momenta in the electron-phonon coupling induced by electronic correlation. They report also an upturn of the electron-phonon vertex function for small momenta as function of the Hubbard repulsion $U$ for sufficient large $U$. In this comment we compare their Quantum Monte Carlo data with analytical results based on slave-boson techniques for generic $U$. We associate the upturn of the electron-phonon vertex function with the tendency towards a phase separation instability at large temperatures.

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