Border effects on the ground state of an ultrathin magnetic film model
In the study of ultrathin magnetic films, one of the most simple and widely studied model is the two-dimensional Ising model with short-range ferromagnetic exchange and long-range antiferromagnetic dipolar interactions (ILRA model). In substrates with periodic boundary conditions, it is well known t...
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| Veröffentlicht in: | The European physical journal. B, Condensed matter physics Condensed matter physics, 2024-03, Vol.97 (3), Article 33 |
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| creator | Horowitz, C. M. Loscar, E. S. |
| description | In the study of ultrathin magnetic films, one of the most simple and widely studied model is the two-dimensional Ising model with short-range ferromagnetic exchange and long-range antiferromagnetic dipolar interactions (ILRA model). In substrates with periodic boundary conditions, it is well known that the ground state of this system, depending on the strength parameter
δ
, is given by the
antiferromagnetic
, the
irregular checkerboard
and the
striped
states. In this work, we study the border effects on the ground state. We develop a systematic study on square substrates of size
L
×
L
with open boundary conditions focusing our attention on the range
0.35
⩽
δ
⩽
0.75
. Our results show that, at intermediate values of
δ
, none of the configurations present on substrates with periodic boundary conditions correspond to the ground state of the system. Specifically, we find three new kinds of ground states for
L
≤
8
, which are also our best candidates to be ground state in systems of sizes up to
L
=
100
. Also, by means of the same systematic study on a similar short-range model, we analyze which of these ground states is a consequence of the long-range character of the dipolar interactions in the ILRA model.
Graphical Abstract
Ground states for
8
×
8
lattice in the range of the strength parameter
0.35
⩽
δ
⩽
0.75 |
| doi_str_mv | 10.1140/epjb/s10051-024-00674-8 |
| format | Article |
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δ
, is given by the
antiferromagnetic
, the
irregular checkerboard
and the
striped
states. In this work, we study the border effects on the ground state. We develop a systematic study on square substrates of size
L
×
L
with open boundary conditions focusing our attention on the range
0.35
⩽
δ
⩽
0.75
. Our results show that, at intermediate values of
δ
, none of the configurations present on substrates with periodic boundary conditions correspond to the ground state of the system. Specifically, we find three new kinds of ground states for
L
≤
8
, which are also our best candidates to be ground state in systems of sizes up to
L
=
100
. Also, by means of the same systematic study on a similar short-range model, we analyze which of these ground states is a consequence of the long-range character of the dipolar interactions in the ILRA model.
Graphical Abstract
Ground states for
8
×
8
lattice in the range of the strength parameter
0.35
⩽
δ
⩽
0.75</description><identifier>ISSN: 1434-6028</identifier><identifier>EISSN: 1434-6036</identifier><identifier>DOI: 10.1140/epjb/s10051-024-00674-8</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Antiferromagnetism ; Boundary conditions ; Complex Systems ; Condensed Matter Physics ; Ferromagnetism ; Fluid- and Aerodynamics ; Ground state ; Ising model ; Magnetic films ; Mathematical models ; Parameters ; Physics ; Physics and Astronomy ; Regular Article - Solid State and Materials ; Solid State Physics ; Substrates ; Two dimensional models</subject><ispartof>The European physical journal. B, Condensed matter physics, 2024-03, Vol.97 (3), Article 33</ispartof><rights>The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c280t-9c74d94e99ce32bc5e372bd51234fcf72dcafe4c2d1917c1616bd8394eb0bce83</cites><orcidid>0009-0001-3870-8384</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjb/s10051-024-00674-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epjb/s10051-024-00674-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>315,781,785,27929,27930,41493,42562,51324</link.rule.ids></links><search><creatorcontrib>Horowitz, C. M.</creatorcontrib><creatorcontrib>Loscar, E. S.</creatorcontrib><title>Border effects on the ground state of an ultrathin magnetic film model</title><title>The European physical journal. B, Condensed matter physics</title><addtitle>Eur. Phys. J. B</addtitle><description>In the study of ultrathin magnetic films, one of the most simple and widely studied model is the two-dimensional Ising model with short-range ferromagnetic exchange and long-range antiferromagnetic dipolar interactions (ILRA model). In substrates with periodic boundary conditions, it is well known that the ground state of this system, depending on the strength parameter
δ
, is given by the
antiferromagnetic
, the
irregular checkerboard
and the
striped
states. In this work, we study the border effects on the ground state. We develop a systematic study on square substrates of size
L
×
L
with open boundary conditions focusing our attention on the range
0.35
⩽
δ
⩽
0.75
. Our results show that, at intermediate values of
δ
, none of the configurations present on substrates with periodic boundary conditions correspond to the ground state of the system. Specifically, we find three new kinds of ground states for
L
≤
8
, which are also our best candidates to be ground state in systems of sizes up to
L
=
100
. Also, by means of the same systematic study on a similar short-range model, we analyze which of these ground states is a consequence of the long-range character of the dipolar interactions in the ILRA model.
Graphical Abstract
Ground states for
8
×
8
lattice in the range of the strength parameter
0.35
⩽
δ
⩽
0.75</description><subject>Antiferromagnetism</subject><subject>Boundary conditions</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Ferromagnetism</subject><subject>Fluid- and Aerodynamics</subject><subject>Ground state</subject><subject>Ising model</subject><subject>Magnetic films</subject><subject>Mathematical models</subject><subject>Parameters</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article - Solid State and Materials</subject><subject>Solid State Physics</subject><subject>Substrates</subject><subject>Two dimensional models</subject><issn>1434-6028</issn><issn>1434-6036</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNqFkE1PwzAMhiMEEmPwG4jEucz5WNMeYWIDaRIXOEdt4myd2mYk6YF_T0cRHDnZBz-v7YeQWwb3jElY4PFQLyIDWLIMuMwAciWz4ozMmBQyy0Hk5789Ly7JVYwHAGA5kzOyfvTBYqDoHJoUqe9p2iPdBT_0lsZUJaTe0aqnQ5tClfZNT7tq12NqDHVN29HOW2yvyYWr2og3P3VO3tdPb6vnbPu6eVk9bDPDC0hZaZS0pcSyNCh4bZYoFK_tknEhnXGKW1M5lIZbVjJlxhPz2hZiJGqoDRZiTu6m3GPwHwPGpA9-CP24UgsAqWTJxofnRE1TJvgYAzp9DE1XhU_NQJ-k6ZM0PUnTozT9LU2f8ouJjCPR7zD85f-HfgE2o3NE</recordid><startdate>20240301</startdate><enddate>20240301</enddate><creator>Horowitz, C. M.</creator><creator>Loscar, E. S.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0009-0001-3870-8384</orcidid></search><sort><creationdate>20240301</creationdate><title>Border effects on the ground state of an ultrathin magnetic film model</title><author>Horowitz, C. M. ; Loscar, E. S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c280t-9c74d94e99ce32bc5e372bd51234fcf72dcafe4c2d1917c1616bd8394eb0bce83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Antiferromagnetism</topic><topic>Boundary conditions</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Ferromagnetism</topic><topic>Fluid- and Aerodynamics</topic><topic>Ground state</topic><topic>Ising model</topic><topic>Magnetic films</topic><topic>Mathematical models</topic><topic>Parameters</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article - Solid State and Materials</topic><topic>Solid State Physics</topic><topic>Substrates</topic><topic>Two dimensional models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Horowitz, C. M.</creatorcontrib><creatorcontrib>Loscar, E. S.</creatorcontrib><collection>CrossRef</collection><jtitle>The European physical journal. B, Condensed matter physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Horowitz, C. M.</au><au>Loscar, E. S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Border effects on the ground state of an ultrathin magnetic film model</atitle><jtitle>The European physical journal. B, Condensed matter physics</jtitle><stitle>Eur. Phys. J. B</stitle><date>2024-03-01</date><risdate>2024</risdate><volume>97</volume><issue>3</issue><artnum>33</artnum><issn>1434-6028</issn><eissn>1434-6036</eissn><abstract>In the study of ultrathin magnetic films, one of the most simple and widely studied model is the two-dimensional Ising model with short-range ferromagnetic exchange and long-range antiferromagnetic dipolar interactions (ILRA model). In substrates with periodic boundary conditions, it is well known that the ground state of this system, depending on the strength parameter
δ
, is given by the
antiferromagnetic
, the
irregular checkerboard
and the
striped
states. In this work, we study the border effects on the ground state. We develop a systematic study on square substrates of size
L
×
L
with open boundary conditions focusing our attention on the range
0.35
⩽
δ
⩽
0.75
. Our results show that, at intermediate values of
δ
, none of the configurations present on substrates with periodic boundary conditions correspond to the ground state of the system. Specifically, we find three new kinds of ground states for
L
≤
8
, which are also our best candidates to be ground state in systems of sizes up to
L
=
100
. Also, by means of the same systematic study on a similar short-range model, we analyze which of these ground states is a consequence of the long-range character of the dipolar interactions in the ILRA model.
Graphical Abstract
Ground states for
8
×
8
lattice in the range of the strength parameter
0.35
⩽
δ
⩽
0.75</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjb/s10051-024-00674-8</doi><orcidid>https://orcid.org/0009-0001-3870-8384</orcidid></addata></record> |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Antiferromagnetism Boundary conditions Complex Systems Condensed Matter Physics Ferromagnetism Fluid- and Aerodynamics Ground state Ising model Magnetic films Mathematical models Parameters Physics Physics and Astronomy Regular Article - Solid State and Materials Solid State Physics Substrates Two dimensional models |
| title | Border effects on the ground state of an ultrathin magnetic film model |
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