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 p...
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| Published in: | Физика низких температур |
|---|---|
| Date: | 2005 |
| ISSN: | 0132-6414 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730386982830080 |
|---|---|
| author | Chitov, G.Y. Gros, C. |
| author_facet | Chitov, G.Y. Gros, C. |
| 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. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| 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.
|
| first_indexed | 2025-12-07T19:20:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-121690 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T19:20:36Z |
| publishDate | 2005 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Ordering in two-dimensional Ising models with competing interactions Chitov, G.Y. Gros, C. К семидесятилетию антиферромагнетизма |
| title | 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_short | Ordering in two-dimensional Ising models with competing interactions |
| title_sort | ordering in two-dimensional ising models with competing interactions |
| topic | К семидесятилетию антиферромагнетизма |
| topic_facet | К семидесятилетию антиферромагнетизма |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/121690 |
| work_keys_str_mv | AT chitovgy orderingintwodimensionalisingmodelswithcompetinginteractions AT grosc orderingintwodimensionalisingmodelswithcompetinginteractions |