Abstract:
The equation of motion of twists on classical antiferromagnetic Heisenberg spin chains are derived. It is shown that twists interact via position- and velocity-dependent long-range two-body forces. A quiescent regime is identified wherein the system conserves momentum. With increasing kinetic energy the system exits this regime and momentum conservation is violated due to walls annihilation. A bitwist system is shown to be integrable and its exact solution is analysed. Many-twist systems are discussed and novel periodic twist lattice solutions are found on closed chains. The stability of these solutions is discussed.
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Received 12 June 2002 Published online 2 October 2002
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Blumenfeld, R. Dynamics of twists on antiferromagnetic spin chains: Theory. Eur. Phys. J. B 29, 261–263 (2002). https://doi.org/10.1140/epjb/e2002-00297-3
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DOI: https://doi.org/10.1140/epjb/e2002-00297-3