Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions
The emptiness formation probability (EFP) that the first n spins of the chain are all aligned downwards is studied for the one-dimensional spin- 1/2 XX chain system with both critical and non-critical regimes with three spin and uniform long-range interactions. By using the emptiness formation proba...
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| Published in: | Condensed Matter Physics |
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| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут фізики конденсованих систем НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/118712 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions / P. Lou, J.Y. Lee // Condensed Matter Physics. — 2007. — Т. 10, № 3(51). — С. 425-432. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862593039709503488 |
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| author | Lou, P. Lee, J.Y. |
| author_facet | Lou, P. Lee, J.Y. |
| citation_txt | Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions / P. Lou, J.Y. Lee // Condensed Matter Physics. — 2007. — Т. 10, № 3(51). — С. 425-432. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| description | The emptiness formation probability (EFP) that the first n spins of the chain are all aligned downwards is studied for the one-dimensional spin- 1/2 XX chain system with both critical and non-critical regimes with three spin and uniform long-range interactions. By using the emptiness formation probability P(n), the block-block entanglement Sn and the magnetization Mz, the properties of the system are also studied. It is worthy of note
that when the quantum phase transition from the phase III to the phase II occurs, the Emptiness Formation Probability P(n) of the system decreases, but the block-block entanglement Sn increases.
Дослiджується ймовiрнiсть формування порожнини, тобто ймовiрнiсть того, що n перших спiнiв у ланцюжку є спрямованi вниз, для одновимiрної спiн- 1/2 XX ланцюжкової системи з триспiновою i однорiдною далекосяжною взаємодiями як у критичному, так i у некритичному режимах. З використанням ймовiрностi формування порожнини P(n), блок-блок сплутаностi Sn i намагнiченостi Mz дослiджуються також властивостi такої спiнової системи. Важливо вiдзначити, що коли вiдбувається квантовий фазовий перехiд з фази III у фазу II, ймовiрнiсть формування порожнини системи P(n) зменшується, тодi як блок-блок сплутанiсть Sn зростає.
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| first_indexed | 2025-11-27T09:23:47Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-118712 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-11-27T09:23:47Z |
| publishDate | 2007 |
| publisher | Інститут фізики конденсованих систем НАН України |
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| spelling | Lou, P. Lee, J.Y. 2017-05-31T04:53:56Z 2017-05-31T04:53:56Z 2007 Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions / P. Lou, J.Y. Lee // Condensed Matter Physics. — 2007. — Т. 10, № 3(51). — С. 425-432. — Бібліогр.: 22 назв. — англ. 1607-324X PACS: 75.10.Jm, 75.40.Cx, 75.40.-s, 73.43.Nq DOI:10.5488/CMP.10.3.425 https://nasplib.isofts.kiev.ua/handle/123456789/118712 The emptiness formation probability (EFP) that the first n spins of the chain are all aligned downwards is studied for the one-dimensional spin- 1/2 XX chain system with both critical and non-critical regimes with three spin and uniform long-range interactions. By using the emptiness formation probability P(n), the block-block entanglement Sn and the magnetization Mz, the properties of the system are also studied. It is worthy of note
 that when the quantum phase transition from the phase III to the phase II occurs, the Emptiness Formation Probability P(n) of the system decreases, but the block-block entanglement Sn increases. Дослiджується ймовiрнiсть формування порожнини, тобто ймовiрнiсть того, що n перших спiнiв у ланцюжку є спрямованi вниз, для одновимiрної спiн- 1/2 XX ланцюжкової системи з триспiновою i однорiдною далекосяжною взаємодiями як у критичному, так i у некритичному режимах. З використанням ймовiрностi формування порожнини P(n), блок-блок сплутаностi Sn i намагнiченостi Mz дослiджуються також властивостi такої спiнової системи. Важливо вiдзначити, що коли вiдбувається квантовий фазовий перехiд з фази III у фазу II, ймовiрнiсть формування порожнини системи P(n) зменшується, тодi як блок-блок сплутанiсть Sn зростає. This work was supported by the Korea Research Foundation Grant funded by the Korean
 Government (MOEHRD) (KRF–2006–311–C00082). This work was also supported by the Korea
 Research Foundation and The Korean Federation of Science and Technology Societies Grant funded
 by Korean Government (MOEHRD, Basic Research Promotion Fund). en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions Ймовiрнiсть формування порожнини для спiн-1/2 XX ланцюжка з триспiновою та однорiдною далекосяжною взаємодiями Article published earlier |
| spellingShingle | Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions Lou, P. Lee, J.Y. |
| title | Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions |
| title_alt | Ймовiрнiсть формування порожнини для спiн-1/2 XX ланцюжка з триспiновою та однорiдною далекосяжною взаємодiями |
| title_full | Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions |
| title_fullStr | Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions |
| title_full_unstemmed | Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions |
| title_short | Emptiness formation probability for the spin-1/2 XX chain with three spin and uniform long-range interactions |
| title_sort | emptiness formation probability for the spin-1/2 xx chain with three spin and uniform long-range interactions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/118712 |
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