Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange
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...
| Prif Awduron: | , |
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| Fformat: | Journal article |
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IOP Publishing
2017
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| _version_ | 1826305371946352640 |
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| author | Groha, S Essler, F |
| author_facet | Groha, S Essler, F |
| author_sort | Groha, S |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T06:31:53Z |
| format | Journal article |
| id | oxford-uuid:f6437b2b-83c7-4690-96e1-d061053a6e4d |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:31:53Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:f6437b2b-83c7-4690-96e1-d061053a6e4d2022-03-27T12:33:50ZSpinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchangeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f6437b2b-83c7-4690-96e1-d061053a6e4dSymplectic Elements at OxfordIOP Publishing2017Groha, SEssler, FIntegrable 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. |
| spellingShingle | Groha, S Essler, F Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange |
| title | Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange |
| title_full | Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange |
| title_fullStr | Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange |
| title_full_unstemmed | Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange |
| title_short | Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange |
| title_sort | spinon decay in the spin 1 2 heisenberg chain with weak next nearest neighbour exchange |
| work_keys_str_mv | AT grohas spinondecayinthespin12heisenbergchainwithweaknextnearestneighbourexchange AT esslerf spinondecayinthespin12heisenbergchainwithweaknextnearestneighbourexchange |