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 (17)

• From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram
• Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• Transition Temperature for Weakly Interacting Homogeneous Bose Gases
• Convergent resummed linear delta expansion in the critical O(N) (ϕ_i^2)^2_{3d} model
• A new improved optimization of perturbation theory: applications to the oscillator energy levels and Bose-Einstein critical temperature
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• Quantum Criticality and Superconductivity in Quasi-Two-Dimensional Dirac Electronic Systems
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory
• 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
• From non-degenerate conducting polymers to dense matter in the massive Gross-Neveu model
• On the Convergence of the Linear Delta Expansion for the Shift in T_c for Bose-Einstein Condensation
• Exact 1/N and Optimized Perturbative Evaluation of mu_c for Homogeneous Interacting Bose Gases
• The Thermodynamic Bethe Ansatz and the 1/N Correction to the Density Phase Transition in the Gross-Neveu Model
• The 2d Gross-Neveu Model at Finite Temperature and Density with Finite Corrections

Cited by in corpus (29)

• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Thermodynamics and Phase Structure of the Two-Flavor Nambu--Jona-Lasinio Model Beyond Large-N_c
• Magnetization of Planar Four-Fermion Systems
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Dynamical Generation of a Repulsive Vector Contribution to the Quark Pressure
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• Phase diagram of the magnetized planar Gross-Neveu model beyond the large-N approximation
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Asymmetrically Doped Polyacetylene
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• An Effective Field Theory Model for One-Dimensional $\mathrm{CH}$ Chains: Effects at Finite Chemical Potential, Temperature and External Zeeman Magnetic Field
• Asymptotically Free Theory with Scale Invariant Thermodynamics
• Superconducting phase transition in planar fermionic models with Dirac cone tilting
• Critical behavior of the 2d scalar theory: resumming the ${\mathrm{N}}^8\mathrm{LO}$ perturbative mass gap
• First order phase transitions within Weyl type of materials at low temperatures
• Renormalization group improvement of the effective potential in a (1+1) dimensional Gross-Neveu model
• Testing the equivalence between the planar Gross-Neveu and Thirring models at $N=1$
• Polaron formation as a genuine nonequilibrium phenomenon
• Temperature effects on the magnetization of quasi-one-dimensional Peierls distorted materials
• Charged scalars at finite electric field and temperature in the optimized perturbation theory
• Supergraph Approach in a Higher-order LDE Calculation of the Effective Potential for F-type Broken SUSY
• Momentum Space Regularizations and the Indeterminacy in the Schwinger Model
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities
• Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory