Hofstadter's Butterfly and Phase Transition of Checkerboard Superconducting Network in a Magnetic Field  

作　　者：侯净敏 田立君 

机构地区：[1]Department of Physics,Southeast University [2]Department of Physics,Shanghai University

出　　处：《Communications in Theoretical Physics》2010年第3期587-590,共4页理论物理通讯（英文版）

基　　金：Supported by the Teaching and Research Foundation for the Outstanding Young Faculty of Southeast University

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.

关 键 词：superconducting wire network checkerboard lattice Hofstadter＇s butterfly phase transition 

分 类 号：O441.4[理学—电磁学]