中国物理B ›› 1996, Vol. 5 ›› Issue (8): 561-567.doi: 10.1088/1004-423X/5/8/001
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高亭1, 阎凤利2, 李伯臧3
GAO TING (高亭)a, YAN FENG-LI (阎凤利)b, LI BO-ZANG (李伯臧)c
摘要: Methods of algebraic topology have been employed to classify ordinary (3D) and planar (2D) spin states in the ferromagnets containing annulus- and cylinder-type cavities. The main result of this paper is that the sets of homotopy classes of 3D and 2D spin states in a ferromagnet containing m non-winding up annulus-type cavities threaded by k cylinder-type cavities can be constructed into groups isomorphic to Zm and Zm+k, respectively. Here m,k = 0, 1, 2,…,Zl denotes the l-dimensional discrete vector group.
中图分类号: (Generation of magnetic fields; magnets)