
TOPOLOGICAL CLASSIFICATION OF 3D AND 2D SPIN STATES IN THE FERROMAGNETS CONTAINING ANNULUS AND CYLINDERTYPE CAVITIES
高亭, 阎凤利, 李伯臧
1996 (8):
561567.
doi: 10.1088/1004423X/5/8/001
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Methods of algebraic topology have been employed to classify ordinary (3D) and planar (2D) spin states in the ferromagnets containing annulus and cylindertype 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 nonwinding up annulustype cavities threaded by k cylindertype cavities can be constructed into groups isomorphic to Z^{m} and Z^{m+k}, respectively. Here m,k = 0, 1, 2,…,Z^{l} denotes the ldimensional discrete vector group.
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