Ordering in two-dimensional Ising models with competing interactions
We study the 2D Ising model on a square lattice with additional non-equal diagonal next-nearest neighbor interactions. The cases of classical and quantum (transverse) models are considered. Possible phases and their locations in the space of three Ising couplings are analyzed. In particular, inco...
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| Published in: | Физика низких температур |
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| Date: | 2005 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/121690 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Ordering in two-dimensional Ising models with competing interactions / G.Y. Chitov, C. Gros // Физика низких температур. — 2005. — Т. 31, № 8-9. — С. 952-967. — Бібліогр.: 33 назв. — англ. |
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Chitov, G.Y. Gros, C. 2017-06-15T13:14:06Z 2017-06-15T13:14:06Z 2005 Ordering in two-dimensional Ising models with competing interactions / G.Y. Chitov, C. Gros // Физика низких температур. — 2005. — Т. 31, № 8-9. — С. 952-967. — Бібліогр.: 33 назв. — англ. 0132-6414 PACS: 71.10.Fd, 71.10.Hf, 75.30.Et, 64.60.–i https://nasplib.isofts.kiev.ua/handle/123456789/121690 We study the 2D Ising model on a square lattice with additional non-equal diagonal next-nearest neighbor interactions. The cases of classical and quantum (transverse) models are considered. Possible phases and their locations in the space of three Ising couplings are analyzed. In particular, incommensurate phases occurring only at non-equal diagonal couplings, are predicted. We also analyze a spin-pseudospin model comprised of the quantum Ising model coupled to XY spin chains in a particular region of interactions, corresponding to the Ising sector’s super-antiferromagnetic (SAF) ground state. The spin-SAF transition in the coupled Ising-XY model into a phase with co-existent SAF Ising (pseudospin) long-range order and a spin gap is considered. Along with destruction of the quantum critical point of the Ising sector, the phase diagram of the Ising-XY model can also demonstrate a re-entrance of the spin-SAF phase. A detailed study of the latter is presented. The mechanism of the re-entrance, due to interplay of interactions in the coupled model, and the conditions of its appearance are established. Applications of the spin-SAF theory for the transition in the quarter-filled ladder compound NaV₂O₅ are discussed. We are grateful to D.I. Khomskii, E. Orignac, and P.N. Timonin for helpful discussions. This work is supported by the German Science Foundation. G.Y.C. also acknowledges support from a LURF grant. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур К семидесятилетию антиферромагнетизма Ordering in two-dimensional Ising models with competing interactions Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Ordering in two-dimensional Ising models with competing interactions |
| spellingShingle |
Ordering in two-dimensional Ising models with competing interactions Chitov, G.Y. Gros, C. К семидесятилетию антиферромагнетизма |
| title_short |
Ordering in two-dimensional Ising models with competing interactions |
| title_full |
Ordering in two-dimensional Ising models with competing interactions |
| title_fullStr |
Ordering in two-dimensional Ising models with competing interactions |
| title_full_unstemmed |
Ordering in two-dimensional Ising models with competing interactions |
| title_sort |
ordering in two-dimensional ising models with competing interactions |
| author |
Chitov, G.Y. Gros, C. |
| author_facet |
Chitov, G.Y. Gros, C. |
| topic |
К семидесятилетию антиферромагнетизма |
| topic_facet |
К семидесятилетию антиферромагнетизма |
| publishDate |
2005 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
We study the 2D Ising model on a square lattice with additional non-equal diagonal next-nearest
neighbor interactions. The cases of classical and quantum (transverse) models are considered.
Possible phases and their locations in the space of three Ising couplings are analyzed. In particular,
incommensurate phases occurring only at non-equal diagonal couplings, are predicted. We also analyze
a spin-pseudospin model comprised of the quantum Ising model coupled to XY spin chains in
a particular region of interactions, corresponding to the Ising sector’s super-antiferromagnetic
(SAF) ground state. The spin-SAF transition in the coupled Ising-XY model into a phase with
co-existent SAF Ising (pseudospin) long-range order and a spin gap is considered. Along with destruction
of the quantum critical point of the Ising sector, the phase diagram of the Ising-XY
model can also demonstrate a re-entrance of the spin-SAF phase. A detailed study of the latter is
presented. The mechanism of the re-entrance, due to interplay of interactions in the coupled
model, and the conditions of its appearance are established. Applications of the spin-SAF theory
for the transition in the quarter-filled ladder compound NaV₂O₅ are discussed.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/121690 |
| citation_txt |
Ordering in two-dimensional Ising models with competing interactions / G.Y. Chitov, C. Gros // Физика низких температур. — 2005. — Т. 31, № 8-9. — С. 952-967. — Бібліогр.: 33 назв. — англ. |
| work_keys_str_mv |
AT chitovgy orderingintwodimensionalisingmodelswithcompetinginteractions AT grosc orderingintwodimensionalisingmodelswithcompetinginteractions |
| first_indexed |
2025-12-07T19:20:36Z |
| last_indexed |
2025-12-07T19:20:36Z |
| _version_ |
1850878446203305984 |