From non-degenerate conducting polymers to dense matter in the massive Gross-Neveu model

Abstract

Using results from the theory of non-degenerate conducting polymers like cis-polyacetylene, we generalize our previous work on dense baryonic matter and the soliton crystal in the massless Gross-Neveu model to finite bare fermion mass. In the large N limit, the exact crystal ground state can be constructed analytically, in close analogy to the bipolaron lattice in polymers. These findings are contrasted to the standard scenario with homogeneous phases only and a first order phase transition at a critical chemical potential.

arXiv comment12 pages, 7 figures, revtex; v2: improved readability, following advice of PRD referee; accepted for publication

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Cited by in corpus (23)

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• Quarkyonic Chiral Spirals
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• Full Phase Diagram of the Massive Gross-Neveu Model
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems
• Faster Quantum Algorithm to simulate Fermionic Quantum Field Theory
• Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
• Critical Dopant Concentration in Polyacetylene and Phase Diagram from a Continuous Four-Fermi Model
• Chiral asymmetry in propagation of soliton defects in crystalline backgrounds
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• Phase diagram of quark-antiquark and diquark condensates at finite temperature and density in the 3-dimensional Gross Neveu model
• Extended supersymmetry of the self-isospectral crystalline and soliton chains
• Exact solution of N baryon problem in the Gross-Neveu model
• Integrating out the Dirac sea: Effective field theory approach to exactly solvable four-fermion models
• An Effective Field Theory Model for One-Dimensional $\mathrm{CH}$ Chains: Effects at Finite Chemical Potential, Temperature and External Zeeman Magnetic Field
• Fermion Bag Solitons in the Massive Gross-Neveu and Massive Nambu-Jona-Lasinio Models in 1+1 Dimensions: Inverse Scattering Analysis
• Beyond integrability: Baryon-baryon backward scattering in the massive Gross-Neveu model
• Condensates, crystals, and renormalons in the Gross-Neveu model at finite density
• Temperature effects on the magnetization of quasi-one-dimensional Peierls distorted materials
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities