Ginzburg-Landau theory of the zigzag transition in quasi-one-dimensional classical Wigner crystals

摘要: We present a mean-field description of the zig-zag phase transition quasi-one-dimensional system strongly interacting particles, with interaction potential $r^{-n}e^{-r/\lambda}$, that are confined by power-law ($y^{\alpha}$). The parameters resulting one-dimensional Ginzburg-Landau theory determined analytically for different values $\alpha$ and $n$. Close to point transition, scaling behavior order parameter is determined. For $\alpha=2$ from single double chain second order, while $\alpha>2$ one configuration always unstable $\alpha<2$ ordered state becomes at certain critical density in jumps particles out chain.