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We present an extensive study on inhomogeneous chiral condensates in QCD atfinite density in the chiral limit using a generalized Ginzburg-Landau (GL)approach. Performing analyses on higher harmonics of one-dimensionally (1D)modulated condensates, we numerically confirm the previous claim that thesolitonic chiral condensate characterized by Jacobi's elliptic function is themost favorable structure in 1D modulations. We then investigate the possibilityof realization of several multidimensional modulations within the sameframework. We also study the phase structure far away from the tricriticalpoint by extending the GL functional expanded up to the eighth order in theorder parameter and its spatial derivative. On the same basis, we explore a newregime in the extended GL parameter space and find that the Lifshitz point isthe point where five critical lines meet at once. In particular, the existenceof an intriguing triple point is demonstrated, and its trajectory consists ofone of those critical lines.

Crystalline chiral condensates off the tricritical point in a generalized Ginzburg-Landau approach