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

Abstract

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.

14 pages, 4 figures

References in corpus (5)

• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N

Cited by in corpus (2)

• Magnetization of Planar Four-Fermion Systems
• Asymmetrically Doped Polyacetylene