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Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange

Abstract:
Integrable models support elementary excitations with infinite lifetimes. In the spin-1/2 Heisenberg chain these are known as spinons. We consider the stability of spinons when a weak integrability breaking perturbation is added to the Heisenberg chain in a magnetic field. We focus on the case where the perturbation is a next nearest neighbour exchange interaction. We calculate the spinon decay rate in leading order in perturbation theory using methods of integrability and identify the dominant decay channels. The decay rate is found to be small, which indicates that spinons remain well-defined excitations even though integrability is broken.
Publication status:
Published
Peer review status:
Peer reviewed

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Files:
Publisher copy:
10.1088/1751-8121/aa7d41

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Publisher:
IOP Publishing
Journal:
Journal of Physics A: Mathematical and Theoretical More from this journal
Volume:
50
Issue:
33
Article number:
334002
Publication date:
2017-07-19
Acceptance date:
2017-07-03
DOI:
EISSN:
1751-8121
ISSN:
1751-8113


Pubs id:
pubs:707898
UUID:
uuid:f6437b2b-83c7-4690-96e1-d061053a6e4d
Local pid:
pubs:707898
Source identifiers:
707898
Deposit date:
2017-07-13

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