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Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain

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.
2469-9969
1-6
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
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), 1-6. (doi:10.1103/PhysRevB.96.024430).

Record type: Article

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.

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Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain - Accepted Manuscript
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Accepted/In Press date: 24 May 2017
e-pub ahead of print date: 20 July 2017

Identifiers

Local EPrints ID: 419490
URI: https://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: 13 Mar 2019 19:34

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Contributors

Author: Weiwei Wang
Author: Chenjie Gu
Author: Yan Zhou
Author: Hans Fangohr

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