ON STATIONARY TOPOLOGICAL SOLITONS IN A 2-DIMENSIONAL ANISOTROPIC HEISENBERG-MODEL

被引:18
作者
BOGOLUBSKAYA, AA
BOGOLUBSKY, IL
机构
[1] Head Post Office, Joint Institute for Nuclear Research, Moscow, 10100
关键词
AMS subject classifications (1980): 58F07; 81E10; 82A68;
D O I
10.1007/BF01045888
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study stationary two-dimensional solitons in an easy-axis Heisenberg magnet with the Hamiltonian density[Figure not available: see fulltext.] where i=1, 2, a=1, 2, 3, and θ(xi) is the angle between unit vector s(xi) and the 'easy' axis, 0<p<∞. Stable solitons with a topological charge Q=1 and localized distributions sa(xi) with Q=2 are found. The existence of the bound states of two solitons with Q=1 is shown numerically for 0<p<∞. © 1990 Kluwer Academic Publishers.
引用
收藏
页码:171 / 177
页数:7
相关论文
共 18 条
[1]  
BELAVIN AA, 1975, JETP LETT+, V22, P245
[2]  
BOGOLUBSKAYA AA, 1988, JINR P588873
[3]  
BOGOLUBSKAYA AA, 1988, JINR P588311
[4]  
BOGOLUBSKAYA AA, 1987, JINR P587761
[5]   3-DIMENSIONAL TOPOLOGICAL SOLITONS IN THE LATTICE MODEL OF A MAGNET WITH COMPETING INTERACTIONS [J].
BOGOLUBSKY, IL .
PHYSICS LETTERS A, 1988, 126 (8-9) :511-514
[6]  
BOGOLUBSKY IL, 1985, JINR P585482
[7]  
BOGOLUBSKY IL, 1985, JINR P585588
[8]  
COLEMAN S, 1977, 1975 ERICE LECTURES
[9]   COMMENTS ON NONLINEAR WAVE EQUATIONS AS MODELS FOR ELEMENTARY PARTICLES [J].
DERRICK, GH .
JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (09) :1252-&
[10]   NEUTRAL FERMIONS IN PARAMAGNETIC INSULATORS [J].
DZYALOSHINSKII, I ;
POLYAKOV, A ;
WIEGMANN, P .
PHYSICS LETTERS A, 1988, 127 (02) :112-114