Quasicrystals in QCD

We study the ground state of low energy dense QCD with assumption chiral condensates quarks. Under an external magnetic field, mesons could form soliton lattices via anomaly. For such scenarios, we present a unified description pions and $\eta$ meson $U(2)$ field in framework perturbation theory. Our result shows is mixture magnetized domain walls formed by neutral pion $\pi^0$ when they coexist. The winding number would alter according to strength field. When strong or chemical potential large, proportion determined decay constants contributions anomalous action meson. resulting configuration either mixed lattice quasicrystal which be dubbed ``chiral quasicrystal''.