Suppression of superconductivity by inhomogeneous chiral condensation in the NJL${}_2$ model

Abstract

We investigate the possibility of spatially inhomogeneous chiral and Cooper, or superconducting, pairing in the (1+1)-dimensional model by Chodos et al [ Phys. Rev. D61, 045011 (2000)] generalized to continuous chiral invariance. The consideration is performed at nonzero temperature $T$ and quark number chemical potential $\mu$. It is shown in the framework of the Fulde--Ferrel inhomogeneity ansatz for chiral and Cooper condensates that if $G_1>G_2$, where $G_1$ and $G_2$ are the coupling constants in the quark-antiquark and diquark channels, then in the $(\mu ,T)$-phase diagram the superconducting phase is suppressed by spatially inhomogeneous chiral spiral phase with broken chiral symmetry. In contrast, in the above mentioned original Chodos et al model, where only the opportunity for homogeneous condensates were taken into account, the superconducting phase is realized at sufficiently high values of $\mu$ at arbitrary values of $G_2>0$, including the interval $0<G_2<G_1$.

New references and figures added; 12 pages, 5 figures

References in corpus (6)

• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
• Dimensional reduction in quantum field theories at finite temperature and density
• Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases

Cited by in corpus (7)

• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Quark beta decay in the inhomogeneous chiral phase and cooling of compact stars
• Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing
• Gross-Neveu model with O(2)${}_L\times$O(2)${}_R$ chiral symmetry: Duality with Zakharov-Mikhailov model and large $N$ solution