Hofstadter's Butterfly and Phase Transition of Checkerboard Superconducting Network in a Magnetic Field |
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引用本文: | 侯净敏,田立君.Hofstadter's Butterfly and Phase Transition of Checkerboard Superconducting Network in a Magnetic Field[J].理论物理通讯,2010(3):587-590. |
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作者姓名: | 侯净敏 田立君 |
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基金项目: | Supported by the Teaching and Research Foundation for the Outstanding Young Faculty of Southeast University |
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摘 要: | We study the magnetic effect of the checkerboard superconducting wire network. Based on the de Gennes- Alexader theory, we obtain difference equations for superconducting order parameter in the wire network. Through solving these difference equations, we obtain the eigenvalues, linked to the coherence length, as a function of magnetic field. The diagram of eigenvalues shows a fractal structure, being so-called Hofstadter's butterfly. We also calculate and discuss the dependence of the transition temperature of the checkerboard superconducting wire network on the applied magnetic field, which is related to up-edge of the Hofstadter's butterfly spectrum.
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关 键 词: | 超导磁场 网络转型 棋盘 蝴蝶 塔 差分方程 命令参数 相干长度 |
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