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Electron and phonon dispersions of the two-dimensional Holstein model: effects of vertex and non-local corrections

Hague, J. P. (2003). Electron and phonon dispersions of the two-dimensional Holstein model: effects of vertex and non-local corrections. Journal of Physics: Condensed Matter, 15(17) pp. 2535–2550.

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I apply the newly developed dynamical cluster approximation (DCA) to the calculation of the electron and phonon dispersions in the two-dimensional Holstein model. In contrast to previous work, the DCA enables the effects of spatial fluctuations (non-local corrections) to be examined. Approximations neglecting and incorporating lowest-order vertex corrections are investigated. I calculate the phonon density of states, the renormalized phonon dispersion, the electron dispersion and electron spectral functions. I demonstrate how vertex corrections stabilize the solution, stopping a catastrophic softening of the (?, ?) phonon mode. A kink in the electron dispersion is found in the normal state along the (?, ?) symmetry direction in both the vertex- and non-vertex-corrected theories for low phonon frequencies, corresponding directly to the renormalized phonon frequency at the (?, 0) point. This kink is accompanied by a sudden drop in the quasi-particle lifetime. Vertex and non-local corrections enhance the effects at large bare phonon frequencies.

Item Type: Journal Article
ISSN: 0953-8984
Academic Unit/Department: Science > Physical Sciences
Interdisciplinary Research Centre: Centre for Earth, Planetary, Space and Astronomical Research (CEPSAR)
Biomedical Research Network (BRN)
Item ID: 12279
Depositing User: James Hague
Date Deposited: 13 May 2009 14:51
Last Modified: 25 Feb 2016 07:23
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