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Quantized Topological Solitons in Antiferromagnets on an Infinite Cylinder
Author(s) -
Silva E.A.,
Pereira A.R.
Publication year - 1999
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(199906)213:2<481::aid-pssb481>3.0.co;2-k
Subject(s) - physics , antiferromagnetism , soliton , isotropy , condensed matter physics , spin (aerodynamics) , spin wave , cylinder , radius , quantum mechanics , geometry , nonlinear system , mathematics , ferromagnetism , computer security , computer science , thermodynamics
We semiclassically quantize static topological solitons which exist within a continuum Heisenberg model of an antiferromagnet on an infinite rigid cylinder. It is shown that the energy of a quantized fundamental soliton and the spin‐wave spectrum are strongly dependent on the geometry of isotropic spin systems. This dependence implies that the spin‐wave gap increases and the energy of a quantized soliton decreases as the radius of the cylinder decreases. Our calculations may have relevance for the recently synthesized carbon nanotubes or cylindrically wrapped thin films of magnetic materials with antiferromagnetic order.