The Peierls-Hubbard model at weak coupling

We investigate the Peierls transition in the one-dimensional Peierls-Hubbard model at half filling in the adiabatic approximation for the lattice. Depending on the value of the electron-lattice coupling constant g the equilibrium dimerization can be either enhanced or suppressed by the Hubbard inter...

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Bibliographic Details
Published in:arXiv.org 2005-04
Main Authors: Dzierzawa, Michael, Mocanu, Carmen
Format: Article
Language:English
Subjects:
Coupling
Dimerization
Perturbation theory
Online Access:Get full text
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Summary:We investigate the Peierls transition in the one-dimensional Peierls-Hubbard model at half filling in the adiabatic approximation for the lattice. Depending on the value of the electron-lattice coupling constant g the equilibrium dimerization can be either enhanced or suppressed by the Hubbard interaction U. Applying second order perturbation theory we determine the critical value g_c = 0.689348 below which the Hubbard interaction enhances the dimerization.
ISSN:2331-8422
DOI:10.48550/arxiv.0504078