Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy
We consider the dimerized spin-1 $XXZ$ chain with single-ion anisotropy $D$. In absence of an explicit dimerization there are three phases: a large-$D$, an antiferromagnetically ordered and a Haldane phase. This phase structure persists up to a critical dimerization, above which the Haldane phase...
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| Format: | Article |
| Language: | English |
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SciPost
2018-12-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.5.6.059 |
| _version_ | 1831523142202294272 |
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| author | Satoshi Ejima, Tomoki Yamaguchi, Fabian H. L. Essler, Florian Lange, Yukinori Ohta, Holger Fehske |
| author_facet | Satoshi Ejima, Tomoki Yamaguchi, Fabian H. L. Essler, Florian Lange, Yukinori Ohta, Holger Fehske |
| author_sort | Satoshi Ejima, Tomoki Yamaguchi, Fabian H. L. Essler, Florian Lange, Yukinori Ohta, Holger Fehske |
| collection | DOAJ |
| description | We consider the dimerized spin-1 $XXZ$ chain with single-ion anisotropy $D$.
In absence of an explicit dimerization there are three phases: a large-$D$, an
antiferromagnetically ordered and a Haldane phase. This phase structure
persists up to a critical dimerization, above which the Haldane phase
disappears. We show that for weak dimerization the phases are separated by
Gaussian and Ising quantum phase transitions. One of the Ising transitions
terminates in a critical point in the universality class of the dilute Ising
model. We comment on the relevance of our results to experiments on
quasi-one-dimensional anisotropic spin-1 quantum magnets. |
| first_indexed | 2024-12-14T11:42:58Z |
| format | Article |
| id | doaj.art-966a5c4ad4c64d768e75f8932bd88a3c |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-14T11:42:58Z |
| publishDate | 2018-12-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-966a5c4ad4c64d768e75f8932bd88a3c2022-12-21T23:02:44ZengSciPostSciPost Physics2542-46532018-12-015605910.21468/SciPostPhys.5.6.059Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropySatoshi Ejima, Tomoki Yamaguchi, Fabian H. L. Essler, Florian Lange, Yukinori Ohta, Holger FehskeWe consider the dimerized spin-1 $XXZ$ chain with single-ion anisotropy $D$. In absence of an explicit dimerization there are three phases: a large-$D$, an antiferromagnetically ordered and a Haldane phase. This phase structure persists up to a critical dimerization, above which the Haldane phase disappears. We show that for weak dimerization the phases are separated by Gaussian and Ising quantum phase transitions. One of the Ising transitions terminates in a critical point in the universality class of the dilute Ising model. We comment on the relevance of our results to experiments on quasi-one-dimensional anisotropic spin-1 quantum magnets.https://scipost.org/SciPostPhys.5.6.059 |
| spellingShingle | Satoshi Ejima, Tomoki Yamaguchi, Fabian H. L. Essler, Florian Lange, Yukinori Ohta, Holger Fehske Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy SciPost Physics |
| title | Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy |
| title_full | Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy |
| title_fullStr | Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy |
| title_full_unstemmed | Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy |
| title_short | Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy |
| title_sort | exotic criticality in the dimerized spin 1 xxz chain with single ion anisotropy |
| url | https://scipost.org/SciPostPhys.5.6.059 |
| work_keys_str_mv | AT satoshiejimatomokiyamaguchifabianhlesslerflorianlangeyukinoriohtaholgerfehske exoticcriticalityinthedimerizedspin1xxzchainwithsingleionanisotropy |