TOPOLOGICAL CLASSIFICATION OF 3D AND 2D SPIN STATES IN THE FERROMAGNETS CONTAINING ANNULUS- AND CYLINDER-TYPE CAVITIES
GAO TING (高亭)a, YAN FENG-LI (阎凤利)b, LI BO-ZANG (李伯臧)c
a Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, China; b Department of Physics, Hebei Normal University, Shijiazhuang 050016, China; c Institute of Physics, Academia Sinica, Beijing 100080, China
Abstract 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.
Received: 02 June 1995
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China, and the Hebei Provincial Natural Science Foundation, China.
Cite this article:
GAO TING (高亭), YAN FENG-LI (阎凤利), LI BO-ZANG (李伯臧) TOPOLOGICAL CLASSIFICATION OF 3D AND 2D SPIN STATES IN THE FERROMAGNETS CONTAINING ANNULUS- AND CYLINDER-TYPE CAVITIES 1996 Acta Physica Sinica (Overseas Edition) 5 561
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
