An Effective Field Theory Model for One-Dimensional $\mathrm{CH}$ Chains: Effects at Finite Chemical Potential, Temperature and External Zeeman Magnetic Field

Abstract

In this work we use an effective field theory model to investigate doped $(\mathrm{CH}{)}_{\mathrm{x}}$ chains under the influence of an external constant Zeeman magnetic field $B_0$, at zero and finite temperature, in the mean-field approximation and beyond. We consider both homogeneous and inhomogeneous $\Delta (x)$ condensates and briefly discuss the possibility of using these materials as partially polarized 1D organic conductors.

22 pages, 2 figures, references added; Stat. Mech. (2011) P0005. arXiv admin note: substantial text overlap with arXiv:1003.5242

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• 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
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Stability of moving solitons in trans-polyacetylene in an electric field