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Chinese Physics, 2004, Vol. 13(4): 532-537    DOI: 10.1088/1009-1963/13/4/021
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Investigation of spontaneous magnetization of coupled 2×2 superconducting $\pi$ ring array

Li Zhuang-Zhi (李壮志)a, Wang Fu-Ren (王福仁)a, Yang Tao (杨涛)a, Liu Xin-Yuan (刘新元)b, Ma Ping (马平)a, Xie Fei-Xiang (谢飞翔)a, Nie Rui-Juan (聂瑞娟)a, Dai Yuan-Dong (戴远东)a
a Mesoscopic Physics National Laboratory and Department of Physics, Peking University, Beijing 100871, China; b School of Electronics Engineering and Computer Science, Peking University, Beijing 100871, China
Abstract  We present the theoretical investigation of spontaneous magnetization of a coupled 2×2 $\pi$ ring array. It is indicated by free energy calculation that the system has the lowest energy when the four $\pi$  rings have the full antiparallel configuration. Furthermore, the numerical evaluation results show that the system which favours full antiparallel spontaneous magnetization is a quantum effect deriving from the phase cohering of the superconducting quantum wavefunctions in the four superconducting rings through the shared Josephson junctions.
Keywords:  $\pi$  ring array      Josephson junction      spontaneous magnetization  
Received:  16 July 2003      Revised:  29 October 2003      Accepted manuscript online: 
PACS:  74.25.Ha (Magnetic properties including vortex structures and related phenomena)  
  74.50.+r (Tunneling phenomena; Josephson effects)  
  74.81.Fa (Josephson junction arrays and wire networks)  
Fund: Project supported by the State Key Development Program for Basic Research of China (Grant No G1999064609).

Cite this article: 

Li Zhuang-Zhi (李壮志), Wang Fu-Ren (王福仁), Yang Tao (杨涛), Liu Xin-Yuan (刘新元), Ma Ping (马平), Xie Fei-Xiang (谢飞翔), Nie Rui-Juan (聂瑞娟), Dai Yuan-Dong (戴远东) Investigation of spontaneous magnetization of coupled 2×2 superconducting $\pi$ ring array 2004 Chinese Physics 13 532

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