Critical Dopant Concentration in Polyacetylene and Phase Diagram from a Continuous Four-Fermi Model

Details Critical Dopant Concentration in Polyacetylene and Phase Diagram from a Continuous Four-Fermi Model Critical Dopant Concentration in Polyacetylene and Phase Diagram from a Continuous Four-Fermi Model

2008-04-16

arxiv.org/abs/0804.2675v1

Phys.Rev. B77 (2008) 205109

Physics

Condensed Matter

Soft Condensed Matter

14 pages, 4 figures

Scientific paper

10.1103/PhysRevB.77.205109

The Optimized Perturbation Theory (OPT) method, at finite temperature and finite chemical potential, is applied to the field theory model for polyacetylene. The critical dopant concentration in trans-polyacetylene is evaluated and compared with the available experimental data and with previous calculations. The results obtained within the OPT go beyond the standard mean field (or large-N) approximation (MFA) by explicitly including finite N effects. A critical analysis of the possible theoretical prescriptions to implement and interpret these corrections to the mean field results, given the available data, is given. For typical temperatures probed in the laboratory, our results show that the critical dopant concentration is only weakly affected by thermal effects.

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