Phys. Rev. B
Phys. Rev. B
Magnonic analog of relativistic $Zitterbewegung$ in an antiferromagnetic spin chain
2017
We theoretically investigate the spin-wave (magnon) excitations in a classical antiferromagnetic spin chain with easy-axis anisotropy. We obtain a Dirac-like equation by linearizing the Landau-Lifshitz-Gilbert equation in this antiferromagnetic system, in contrast to the ferromagnetic system in which a SchrÃ¶dinger-type equation is derived. The Hamiltonian operator in the Dirac-like equation is a pseudo-Hermitian. We compute and demonstrate relativistic $Zitterbewegung$ (trembling motion) in the antiferromagnetic spin chain by measuring the expectation values of the wave-packet position.
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