|
TOPOLOGICAL CLASSIFICATION OF 3D AND 2D SPIN STATES IN THE FERROMAGNETS CONTAINING ANNULUS- AND CYLINDER-TYPE CAVITIES
GAO TING (高亭), YAN FENG-LI (阎凤利), LI BO-ZANG (李伯臧)
Acta Physica Sinica (Overseas Edition), 1996, 5 (8):
561-567.
DOI: 10.1088/1004-423X/5/8/001
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.
|