Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain
Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain
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 Schrödinger-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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Wang, Weiwei
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Gu, Chenjie
85791fcc-930c-4e48-8004-f9c6f40ed1a0
Zhou, Yan
7ffa57ee-d3eb-420c-a5a2-67b2330a0757
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Wang, Weiwei
d18d1a5f-8f1e-4529-9c88-885301adcfd7
Gu, Chenjie
85791fcc-930c-4e48-8004-f9c6f40ed1a0
Zhou, Yan
7ffa57ee-d3eb-420c-a5a2-67b2330a0757
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Wang, Weiwei, Gu, Chenjie, Zhou, Yan and Fangohr, Hans
(2017)
Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain.
Physical Review B, 96 (2), , [024430].
(doi:10.1103/PhysRevB.96.024430).
Abstract
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 Schrödinger-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.
Text
Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain
- Accepted Manuscript
More information
Accepted/In Press date: 24 May 2017
e-pub ahead of print date: 20 July 2017
Identifiers
Local EPrints ID: 419490
URI: http://eprints.soton.ac.uk/id/eprint/419490
ISSN: 2469-9969
PURE UUID: 90a283ad-0200-427e-a049-48cef24c9a35
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Date deposited: 12 Apr 2018 16:31
Last modified: 16 Mar 2024 03:09
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Author:
Weiwei Wang
Author:
Chenjie Gu
Author:
Yan Zhou
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