Frustration signatures in the anisotropic model of a nine-spin s = 3/2 ring with bond defect
Effects of magnetic frustration in the model of nine-membered antiferromagnetic s = 3/2 molecular spin ring are investigated. We use a Heisenberg spin model with nearest-neighbor interactions, single-ion anisotropy and with tunable bond defect leading to continuously varying topology: from closed t...
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| Veröffentlicht in: | Journal of nanoparticle research : an interdisciplinary forum for nanoscale science and technology 2011-11, Vol.13 (11), p.6093-6102 |
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| container_title | Journal of nanoparticle research : an interdisciplinary forum for nanoscale science and technology |
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| creator | Kozłowski, P. Antkowiak, M. Kamieniarz, G. |
| description | Effects of magnetic frustration in the model of nine-membered antiferromagnetic
s
= 3/2 molecular spin ring are investigated. We use a Heisenberg spin model with nearest-neighbor interactions, single-ion anisotropy and with tunable bond defect leading to continuously varying topology: from closed to open ring. In order to identify a frustrated phase we calculate the full energy spectrum of the model and a number of thermodynamic quantities at low temperature. The calculations are performed by means of numerically exact methods: quantum transfer matrix and exact diagonalization. It is shown that total and local magnetizations, nearest-neighbor spin correlations and spin fluctuations can serve as consistent frustration signatures. Magnetizations and spin-spin correlations are reduced in the frustrated phase whereas fluctuations and correlations of fluctuations increase. The ground state in a frustrated phase is a
m
= 1/2 doublet and in the non-frustrated phase a
m
= 3/2 doublet. In the system studied bipartiteness is not opposite to frustration as there are regions in the parameter space for which the system is neither bipartite nor frustrated. |
| doi_str_mv | 10.1007/s11051-011-0337-8 |
| format | Article |
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s
= 3/2 molecular spin ring are investigated. We use a Heisenberg spin model with nearest-neighbor interactions, single-ion anisotropy and with tunable bond defect leading to continuously varying topology: from closed to open ring. In order to identify a frustrated phase we calculate the full energy spectrum of the model and a number of thermodynamic quantities at low temperature. The calculations are performed by means of numerically exact methods: quantum transfer matrix and exact diagonalization. It is shown that total and local magnetizations, nearest-neighbor spin correlations and spin fluctuations can serve as consistent frustration signatures. Magnetizations and spin-spin correlations are reduced in the frustrated phase whereas fluctuations and correlations of fluctuations increase. The ground state in a frustrated phase is a
m
= 1/2 doublet and in the non-frustrated phase a
m
= 3/2 doublet. In the system studied bipartiteness is not opposite to frustration as there are regions in the parameter space for which the system is neither bipartite nor frustrated.</description><identifier>ISSN: 1388-0764</identifier><identifier>EISSN: 1572-896X</identifier><identifier>DOI: 10.1007/s11051-011-0337-8</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Anisotropy ; Bonding ; Characterization and Evaluation of Materials ; Chemistry and Materials Science ; Correlation ; Defects ; Fluctuation ; Fluctuations ; Frustration ; Inorganic Chemistry ; Lasers ; Low temperature ; Materials Science ; Mathematical models ; Nanoparticles ; Nanostructure ; Nanotechnology ; Optical Devices ; Optics ; Photonics ; Physical Chemistry ; Signatures ; Special Issue: Nanostructured Materials 2010 ; Topology</subject><ispartof>Journal of nanoparticle research : an interdisciplinary forum for nanoscale science and technology, 2011-11, Vol.13 (11), p.6093-6102</ispartof><rights>Springer Science+Business Media B.V. 2011</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-433dffbd4d1571f7799b7583c3199bb17fc4178361a471d14fe8e639edc2169a3</citedby><cites>FETCH-LOGICAL-c349t-433dffbd4d1571f7799b7583c3199bb17fc4178361a471d14fe8e639edc2169a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11051-011-0337-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11051-011-0337-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids></links><search><creatorcontrib>Kozłowski, P.</creatorcontrib><creatorcontrib>Antkowiak, M.</creatorcontrib><creatorcontrib>Kamieniarz, G.</creatorcontrib><title>Frustration signatures in the anisotropic model of a nine-spin s = 3/2 ring with bond defect</title><title>Journal of nanoparticle research : an interdisciplinary forum for nanoscale science and technology</title><addtitle>J Nanopart Res</addtitle><description>Effects of magnetic frustration in the model of nine-membered antiferromagnetic
s
= 3/2 molecular spin ring are investigated. We use a Heisenberg spin model with nearest-neighbor interactions, single-ion anisotropy and with tunable bond defect leading to continuously varying topology: from closed to open ring. In order to identify a frustrated phase we calculate the full energy spectrum of the model and a number of thermodynamic quantities at low temperature. The calculations are performed by means of numerically exact methods: quantum transfer matrix and exact diagonalization. It is shown that total and local magnetizations, nearest-neighbor spin correlations and spin fluctuations can serve as consistent frustration signatures. Magnetizations and spin-spin correlations are reduced in the frustrated phase whereas fluctuations and correlations of fluctuations increase. The ground state in a frustrated phase is a
m
= 1/2 doublet and in the non-frustrated phase a
m
= 3/2 doublet. In the system studied bipartiteness is not opposite to frustration as there are regions in the parameter space for which the system is neither bipartite nor frustrated.</description><subject>Anisotropy</subject><subject>Bonding</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemistry and Materials Science</subject><subject>Correlation</subject><subject>Defects</subject><subject>Fluctuation</subject><subject>Fluctuations</subject><subject>Frustration</subject><subject>Inorganic Chemistry</subject><subject>Lasers</subject><subject>Low temperature</subject><subject>Materials Science</subject><subject>Mathematical models</subject><subject>Nanoparticles</subject><subject>Nanostructure</subject><subject>Nanotechnology</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Photonics</subject><subject>Physical Chemistry</subject><subject>Signatures</subject><subject>Special Issue: Nanostructured Materials 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signatures in the anisotropic model of a nine-spin s = 3/2 ring with bond defect</title><author>Kozłowski, P. ; Antkowiak, M. ; Kamieniarz, G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-433dffbd4d1571f7799b7583c3199bb17fc4178361a471d14fe8e639edc2169a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Anisotropy</topic><topic>Bonding</topic><topic>Characterization and Evaluation of Materials</topic><topic>Chemistry and Materials Science</topic><topic>Correlation</topic><topic>Defects</topic><topic>Fluctuation</topic><topic>Fluctuations</topic><topic>Frustration</topic><topic>Inorganic Chemistry</topic><topic>Lasers</topic><topic>Low temperature</topic><topic>Materials Science</topic><topic>Mathematical models</topic><topic>Nanoparticles</topic><topic>Nanostructure</topic><topic>Nanotechnology</topic><topic>Optical 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3/2 ring with bond defect</atitle><jtitle>Journal of nanoparticle research : an interdisciplinary forum for nanoscale science and technology</jtitle><stitle>J Nanopart Res</stitle><date>2011-11-01</date><risdate>2011</risdate><volume>13</volume><issue>11</issue><spage>6093</spage><epage>6102</epage><pages>6093-6102</pages><issn>1388-0764</issn><eissn>1572-896X</eissn><abstract>Effects of magnetic frustration in the model of nine-membered antiferromagnetic
s
= 3/2 molecular spin ring are investigated. We use a Heisenberg spin model with nearest-neighbor interactions, single-ion anisotropy and with tunable bond defect leading to continuously varying topology: from closed to open ring. In order to identify a frustrated phase we calculate the full energy spectrum of the model and a number of thermodynamic quantities at low temperature. The calculations are performed by means of numerically exact methods: quantum transfer matrix and exact diagonalization. It is shown that total and local magnetizations, nearest-neighbor spin correlations and spin fluctuations can serve as consistent frustration signatures. Magnetizations and spin-spin correlations are reduced in the frustrated phase whereas fluctuations and correlations of fluctuations increase. The ground state in a frustrated phase is a
m
= 1/2 doublet and in the non-frustrated phase a
m
= 3/2 doublet. In the system studied bipartiteness is not opposite to frustration as there are regions in the parameter space for which the system is neither bipartite nor frustrated.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11051-011-0337-8</doi><tpages>10</tpages></addata></record> |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Anisotropy Bonding Characterization and Evaluation of Materials Chemistry and Materials Science Correlation Defects Fluctuation Fluctuations Frustration Inorganic Chemistry Lasers Low temperature Materials Science Mathematical models Nanoparticles Nanostructure Nanotechnology Optical Devices Optics Photonics Physical Chemistry Signatures Special Issue: Nanostructured Materials 2010 Topology |
| title | Frustration signatures in the anisotropic model of a nine-spin s = 3/2 ring with bond defect |
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