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The properties of two-flavored massive Nambu-Jona-Lasinio model in (1 + 1)-dimensional spacetime are investigated in the presence of isospin and quark number chemical potentials. The consideration is performed in the large-Nc limit, where Nc is the number of colored quarks. It is shown in the framework of this model that charged pion condensation phenomenon of dense quark/hadron isotopically asymmetric matter is rather a spatially inhomogeneous than a homogeneous one. [ABSTRACT FROM AUTHOR]

We investigate the phase portrait of the (1 + 1)-dimensional massless two-flavored NJL2 model containing a quark number chemical potential μ and an isospin chemical potential μI in the limit of a large number of colors Nc → ∞. Particular attention is paid to the question of to what extent the inclusion of an isospin asymmetry affects chiral condensates to have a spatial inhomogeneity in the form of the so-called chiral density waves (CDW) (chiral spirals). It is shown that, at zero temperature and comparatively small values of μ, i.e. at μ < μc ≈ 0.68M0 (M0 is the dynamical quark mass in the vacuum), only the homogeneous charged pion condensation phase is realized for arbitrary nonzero values of μI. Contrary to this, for large values of μ > μc, two CDW phases appear in the (μI,μ)-phase diagram of the model. In the first phase, CDWs are clockwise twisted chiral spirals, and in the second phase they are counterclockwise. The influence of nonzero temperature on the formation of the CDW phases is also investigated. [ABSTRACT FROM AUTHOR]